-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathgraph.json
More file actions
1 lines (1 loc) · 388 KB
/
graph.json
File metadata and controls
1 lines (1 loc) · 388 KB
1
{"nodes": [{"id": "dummylink", "group": 0}, {"id": "inference", "group": 1}, {"id": "rule", "group": 1}, {"id": "next", "group": 1}, {"id": "one,", "group": 1}, {"id": "will", "group": 1}, {"id": "normally", "group": 1}, {"id": "never", "group": 1}, {"id": "appear", "group": 1}, {"id": "completed", "group": 1}, {"id": "can", "group": 1}, {"id": "you", "group": 1}, {"id": "using", "group": 1}, {"id": "logic", "group": 1}, {"id": "please", "group": 1}, {"id": "start", "group": 1}, {"id": "statement", "group": 1}, {"id": "instead", "group": 1}, {"id": "technical", "group": 1}, {"id": "inference", "group": 1}, {"id": "provides", "group": 1}, {"id": "way", "group": 1}, {"id": "add", "group": 1}, {"id": "independent", "group": 1}, {"id": "under", "group": 1}, {"id": "later", "group": 1}, {"id": "assignment", "group": 1}, {"id": "normal", "group": 1}, {"id": "step", "group": 1}, {"id": "metamath", "group": 1}, {"id": "assistant", "group": 1}, {"id": "requires", "group": 1}, {"id": "proofs", "group": 1}, {"id": "conclusion", "group": 1}, {"id": "no", "group": 1}, {"id": "has", "group": 1}, {"id": "no", "group": 1}, {"id": "work", "group": 1}, {"id": "inference", "group": 1}, {"id": "provides", "group": 1}, {"id": "can", "group": 1}, {"id": "at", "group": 1}, {"id": "any", "group": 1}, {"id": "point", "group": 1}, {"id": "allow", "group": 1}, {"id": "independent", "group": 1}, {"id": "later", "group": 1}, {"id": "use", "group": 1}, {"id": "final", "group": 1}, {"id": "inference", "group": 1}, {"id": "any", "group": 1}, {"id": "step", "group": 1}, {"id": "last", "group": 1}, {"id": "step", "group": 1}, {"id": "most", "group": 1}, {"id": "since", "group": 1}, {"id": "can", "group": 1}, {"id": "used", "group": 1}, {"id": "step", "group": 1}, {"id": "will", "group": 1}, {"id": "hypothesis", "group": 1}, {"id": "where", "group": 1}, {"id": "main", "group": 1}, {"id": "can", "group": 1}, {"id": "2", "group": 1}, {"id": "independent", "group": 1}, {"id": "hypothesis", "group": 1}, {"id": "use", "group": 1}, {"id": "command", "group": 1}, {"id": "conclusion", "group": 1}, {"id": "independent", "group": 1}, {"id": "3", "group": 1}, {"id": "after", "group": 1}, {"id": "independent", "group": 1}, {"id": "use", "group": 1}, {"id": "automatically", "group": 1}, {"id": "step", "group": 1}, {"id": "main", "group": 1}, {"id": "4", "group": 1}, {"id": "after", "group": 1}, {"id": "entire", "group": 1}, {"id": "use", "group": 1}, {"id": "up", "group": 1}, {"id": "all", "group": 1}, {"id": "automatically", "group": 1}, {"id": "inference", "group": 1}, {"id": "was", "group": 1}, {"id": "partially", "group": 1}, {"id": "completed", "group": 1}, {"id": "mmj2", "group": 1}, {"id": "assistant", "group": 1}, {"id": "but", "group": 1}, {"id": "can", "group": 1}, {"id": "also", "group": 1}, {"id": "useful", "group": 1}, {"id": "own", "group": 1}, {"id": "no", "group": 1}, {"id": "axioms", "group": 1}, {"id": "required", "group": 1}, {"id": "idi", "group": 0}, {"id": "inference", "group": 1}, {"id": "form", "group": 1}, {"id": "inference", "group": 1}, {"id": "rule,", "group": 1}, {"id": "which", "group": 1}, {"id": "requires", "group": 1}, {"id": "no", "group": 1}, {"id": "axioms", "group": 1}, {"id": "proof,", "group": 1}, {"id": "useful", "group": 1}, {"id": "mmj2", "group": 1}, {"id": "normally", "group": 1}, {"id": "referenced", "group": 1}, {"id": "final", "group": 1}, {"id": "version", "group": 1}, {"id": "proof,", "group": 1}, {"id": "since", "group": 1}, {"id": "always", "group": 1}, {"id": "redundant", "group": 1}, {"id": "can", "group": 1}, {"id": "removed", "group": 1}, {"id": "using", "group": 1}, {"id": "command", "group": 1}, {"id": "metamath", "group": 1}, {"id": "assistant", "group": 1}, {"id": "alan", "group": 1}, {"id": "sare,", "group": 1}, {"id": "mp2", "group": 0}, {"id": "double", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "inference", "group": 1}, {"id": "see", "group": 1}, {"id": "shorter", "group": 1}, {"id": "using", "group": 1}, {"id": "more", "group": 1}, {"id": "axioms", "group": 1}, {"id": "mp2b", "group": 0}, {"id": "double", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "inference", "group": 1}, {"id": "a1i", "group": 0}, {"id": "inference", "group": 1}, {"id": "derived", "group": 1}, {"id": "axiom", "group": 1}, {"id": "see", "group": 1}, {"id": "our", "group": 1}, {"id": "use", "group": 1}, {"id": "terms", "group": 1}, {"id": "see", "group": 1}, {"id": "also", "group": 1}, {"id": "comment", "group": 1}, {"id": "mp1i", "group": 0}, {"id": "replace", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "a2i", "group": 0}, {"id": "inference", "group": 1}, {"id": "derived", "group": 1}, {"id": "axiom", "group": 1}, {"id": "imim2i", "group": 0}, {"id": "inference", "group": 1}, {"id": "adding", "group": 1}, {"id": "common", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "implication", "group": 1}, {"id": "mpd", "group": 0}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "translation", "group": 1}, {"id": "natural", "group": 1}, {"id": "rule", "group": 1}, {"id": "see", "group": 1}, {"id": "natded", "group": 1}, {"id": "syl", "group": 0}, {"id": "inference", "group": 1}, {"id": "version", "group": 1}, {"id": "transitive", "group": 1}, {"id": "laws", "group": 1}, {"id": "implication", "group": 1}, {"id": "which", "group": 1}, {"id": "call", "group": 1}, {"id": "\"the", "group": 1}, {"id": "principle", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "derived", "group": 1}, {"id": "after", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "101", "group": 1}, {"id": "some", "group": 1}, {"id": "authors", "group": 1}, {"id": "call", "group": 1}, {"id": "bit", "group": 1}, {"id": "most", "group": 1}, {"id": "commonly", "group": 1}, {"id": "referenced", "group": 1}, {"id": "assertion", "group": 1}, {"id": "our", "group": 1}, {"id": "second", "group": 1}, {"id": "place", "group": 1}, {"id": "followed", "group": 1}, {"id": "adantr", "group": 1}, {"id": "metamath", "group": 1}, {"id": "program", "group": 1}, {"id": "command", "group": 1}, {"id": "shows", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mpi", "group": 0}, {"id": "nested", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "inference", "group": 1}, {"id": "allan,", "group": 1}, {"id": "mp2ALT", "group": 0}, {"id": "alternate", "group": 1}, {"id": "shorter", "group": 1}, {"id": "but", "group": 1}, {"id": "uses", "group": 1}, {"id": "more", "group": 1}, {"id": "axioms", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "3syl", "group": 0}, {"id": "inference", "group": 1}, {"id": "syllogisms", "group": 1}, {"id": "4syl", "group": 0}, {"id": "inference", "group": 1}, {"id": "three", "group": 1}, {"id": "syllogisms", "group": 1}, {"id": "use", "group": 1}, {"id": "because", "group": 1}, {"id": "can", "group": 1}, {"id": "command", "group": 1}, {"id": "have", "group": 1}, {"id": "very", "group": 1}, {"id": "long", "group": 1}, {"id": "times", "group": 1}, {"id": "however,", "group": 1}, {"id": "free", "group": 1}, {"id": "use", "group": 1}, {"id": "you", "group": 1}, {"id": "file", "group": 1}, {"id": "used", "group": 1}, {"id": "bj,", "group": 1}, {"id": "id", "group": 0}, {"id": "principle", "group": 1}, {"id": "identity", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "101", "group": 1}, {"id": "another", "group": 1}, {"id": "version", "group": 1}, {"id": "directly", "group": 1}, {"id": "axioms,", "group": 1}, {"id": "see", "group": 1}, {"id": "allan,", "group": 1}, {"id": "id1", "group": 0}, {"id": "principle", "group": 1}, {"id": "identity", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "101", "group": 1}, {"id": "version", "group": 1}, {"id": "proved", "group": 1}, {"id": "directly", "group": 1}, {"id": "axioms", "group": 1}, {"id": "demonstration", "group": 1}, {"id": "example", "group": 1}, {"id": "literature", "group": 1}, {"id": "step", "group": 1}, {"id": "proofs", "group": 1}, {"id": "[margaris]", "group": 1}, {"id": "example", "group": 1}, {"id": "103", "group": 1}, {"id": "[bellmachover]", "group": 1}, {"id": "18", "group": 1}, {"id": "[mendelson]", "group": 1}, {"id": "36", "group": 1}, {"id": "also", "group": 1}, {"id": "first", "group": 1}, {"id": "logic", "group": 1}, {"id": "17", "group": 1}, {"id": "23", "group": 1}, {"id": "at", "group": 1}, {"id": "shorter", "group": 1}, {"id": "version", "group": 1}, {"id": "takes", "group": 1}, {"id": "advantage", "group": 1}, {"id": "proved", "group": 1}, {"id": "theorems,", "group": 1}, {"id": "see", "group": 1}, {"id": "idd", "group": 0}, {"id": "principle", "group": 1}, {"id": "identity", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "a1d", "group": 0}, {"id": "introducing", "group": 1}, {"id": "embedded", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "we", "group": 1}, {"id": "often", "group": 1}, {"id": "call", "group": 1}, {"id": "suffix", "group": 1}, {"id": "label", "group": 1}, {"id": "whenever", "group": 1}, {"id": "hypotheses", "group": 1}, {"id": "conclusion", "group": 1}, {"id": "each", "group": 1}, {"id": "same", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "allows", "group": 1}, {"id": "us", "group": 1}, {"id": "use", "group": 1}, {"id": "places", "group": 1}, {"id": "where", "group": 1}, {"id": "traditional", "group": 1}, {"id": "textbook", "group": 1}, {"id": "standard", "group": 1}, {"id": "would", "group": 1}, {"id": "used,", "group": 1}, {"id": "here", "group": 1}, {"id": "would", "group": 1}, {"id": "replaced", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "hypotheses", "group": 1}, {"id": "we", "group": 1}, {"id": "call", "group": 1}, {"id": "simpler", "group": 1}, {"id": "version", "group": 1}, {"id": "no", "group": 1}, {"id": "common", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "suffix", "group": 1}, {"id": "label", "group": 1}, {"id": "compare", "group": 1}, {"id": "would", "group": 1}, {"id": "form", "group": 1}, {"id": "no", "group": 1}, {"id": "hypotheses,", "group": 1}, {"id": "case", "group": 1}, {"id": "form", "group": 1}, {"id": "would", "group": 1}, {"id": "original", "group": 1}, {"id": "axiom", "group": 1}, {"id": "we", "group": 1}, {"id": "usually", "group": 1}, {"id": "show", "group": 1}, {"id": "form", "group": 1}, {"id": "without", "group": 1}, {"id": "suffix", "group": 1}, {"id": "label", "group": 1}, {"id": "eg", "group": 1}, {"id": "when", "group": 1}, {"id": "inference", "group": 1}, {"id": "eliminating", "group": 1}, {"id": "\"is", "group": 1}, {"id": "set\"", "group": 1}, {"id": "hypothesis,", "group": 1}, {"id": "we", "group": 1}, {"id": "sometimes", "group": 1}, {"id": "suffix", "group": 1}, {"id": "form", "group": 1}, {"id": "allan,", "group": 1}, {"id": "a2d", "group": 0}, {"id": "embedded", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "a1ii", "group": 0}, {"id": "add", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "wff", "group": 1}, {"id": "see", "group": 1}, {"id": "shorter", "group": 1}, {"id": "using", "group": 1}, {"id": "one", "group": 1}, {"id": "more", "group": 1}, {"id": "axiom", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "a1iiALT", "group": 0}, {"id": "alternate", "group": 1}, {"id": "shorter", "group": 1}, {"id": "but", "group": 1}, {"id": "uses", "group": 1}, {"id": "one", "group": 1}, {"id": "more", "group": 1}, {"id": "axiom", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "sylcom", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "allan,", "group": 1}, {"id": "syl5com", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "commuted", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "com12", "group": 0}, {"id": "inference", "group": 1}, {"id": "swaps", "group": 1}, {"id": "commutes", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "implication", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "syl5", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "rule", "group": 1}, {"id": "inference", "group": 1}, {"id": "first", "group": 1}, {"id": "premise", "group": 1}, {"id": "used", "group": 1}, {"id": "replace", "group": 1}, {"id": "second", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "second", "group": 1}, {"id": "premise", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "syl6", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "rule", "group": 1}, {"id": "inference", "group": 1}, {"id": "second", "group": 1}, {"id": "premise", "group": 1}, {"id": "used", "group": 1}, {"id": "replace", "group": 1}, {"id": "consequent", "group": 1}, {"id": "first", "group": 1}, {"id": "premise", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "syl56", "group": 0}, {"id": "combine", "group": 1}, {"id": "syl6com", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "commuted", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "mpcom", "group": 0}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "inference", "group": 1}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "syli", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "common", "group": 1}, {"id": "nested", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "syl2im", "group": 0}, {"id": "replace", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "version", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.27", "group": 0}, {"id": "theorem,", "group": 1}, {"id": "called", "group": 1}, {"id": "can", "group": 1}, {"id": "thought", "group": 1}, {"id": "closed", "group": 1}, {"id": "form", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "104", "group": 1}, {"id": "mpdd", "group": 0}, {"id": "nested", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mpid", "group": 0}, {"id": "nested", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mpdi", "group": 0}, {"id": "nested", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "mpii", "group": 0}, {"id": "doubly", "group": 1}, {"id": "nested", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "syld", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "has", "group": 1}, {"id": "same", "group": 1}, {"id": "form", "group": 1}, {"id": "syl", "group": 1}, {"id": "added", "group": 1}, {"id": "each", "group": 1}, {"id": "hypothesis", "group": 1}, {"id": "conclusion", "group": 1}, {"id": "when", "group": 1}, {"id": "all", "group": 1}, {"id": "theorems", "group": 1}, {"id": "referenced", "group": 1}, {"id": "we", "group": 1}, {"id": "can", "group": 1}, {"id": "replace", "group": 1}, {"id": "hypothesis", "group": 1}, {"id": "proof,", "group": 1}, {"id": "allowing", "group": 1}, {"id": "hypothesis", "group": 1}, {"id": "eliminated", "group": 1}, {"id": "become", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "propositional", "group": 1}, {"id": "calculus,", "group": 1}, {"id": "eg", "group": 1}, {"id": "3", "group": 1}, {"id": "[margaris]", "group": 1}, {"id": "tells", "group": 1}, {"id": "us", "group": 1}, {"id": "always", "group": 1}, {"id": "possible", "group": 1}, {"id": "mp2d", "group": 0}, {"id": "double", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "a1dd", "group": 0}, {"id": "introducing", "group": 1}, {"id": "nested", "group": 1}, {"id": "embedded", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "pm2.43i", "group": 0}, {"id": "inference", "group": 1}, {"id": "absorbing", "group": 1}, {"id": "redundant", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "pm2.43d", "group": 0}, {"id": "absorbing", "group": 1}, {"id": "redundant", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "pm2.43a", "group": 0}, {"id": "inference", "group": 1}, {"id": "absorbing", "group": 1}, {"id": "redundant", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "pm2.43b", "group": 0}, {"id": "inference", "group": 1}, {"id": "absorbing", "group": 1}, {"id": "redundant", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "pm2.43", "group": 0}, {"id": "absorption", "group": 1}, {"id": "redundant", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "also", "group": 1}, {"id": "called", "group": 1}, {"id": "axiom", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "106", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "imim2d", "group": 0}, {"id": "adding", "group": 1}, {"id": "nested", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "imim2", "group": 0}, {"id": "closed", "group": 1}, {"id": "form", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "see", "group": 1}, {"id": "syl", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "embantd", "group": 0}, {"id": "embedding", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "3syld", "group": 0}, {"id": "triple", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "sylsyld", "group": 0}, {"id": "virtual", "group": 1}, {"id": "rule", "group": 1}, {"id": "without", "group": 1}, {"id": "virtual", "group": 1}, {"id": "symbols", "group": 1}, {"id": "alan", "group": 1}, {"id": "sare,", "group": 1}, {"id": "imim12i", "group": 0}, {"id": "inference", "group": 1}, {"id": "joining", "group": 1}, {"id": "implications", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "imim1i", "group": 0}, {"id": "inference", "group": 1}, {"id": "adding", "group": 1}, {"id": "common", "group": 1}, {"id": "consequents", "group": 1}, {"id": "original", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "consequent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "imim3i", "group": 0}, {"id": "inference", "group": 1}, {"id": "adding", "group": 1}, {"id": "three", "group": 1}, {"id": "nested", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "sylc", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "combined", "group": 1}, {"id": "contraction", "group": 1}, {"id": "syl3c", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "combined", "group": 1}, {"id": "contraction", "group": 1}, {"id": "without", "group": 1}, {"id": "virtual", "group": 1}, {"id": "deductions", "group": 1}, {"id": "alan", "group": 1}, {"id": "sare,", "group": 1}, {"id": "syl6mpi", "group": 0}, {"id": "without", "group": 1}, {"id": "virtual", "group": 1}, {"id": "deductions", "group": 1}, {"id": "alan", "group": 1}, {"id": "sare,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mpsyl", "group": 0}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "combined", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "alan", "group": 1}, {"id": "sare,", "group": 1}, {"id": "syl6c", "group": 0}, {"id": "inference", "group": 1}, {"id": "combining", "group": 1}, {"id": "contraction", "group": 1}, {"id": "alan", "group": 1}, {"id": "sare,", "group": 1}, {"id": "syldd", "group": 0}, {"id": "nested", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "syl5d", "group": 0}, {"id": "nested", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "syl7", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "rule", "group": 1}, {"id": "inference", "group": 1}, {"id": "first", "group": 1}, {"id": "premise", "group": 1}, {"id": "used", "group": 1}, {"id": "replace", "group": 1}, {"id": "third", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "second", "group": 1}, {"id": "premise", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "syl6d", "group": 0}, {"id": "nested", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "syl8", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "rule", "group": 1}, {"id": "inference", "group": 1}, {"id": "second", "group": 1}, {"id": "premise", "group": 1}, {"id": "used", "group": 1}, {"id": "replace", "group": 1}, {"id": "consequent", "group": 1}, {"id": "first", "group": 1}, {"id": "premise", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "syl9", "group": 0}, {"id": "nested", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "different", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "syl9r", "group": 0}, {"id": "nested", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "different", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "imim12d", "group": 0}, {"id": "combining", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "consequents", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "imim1d", "group": 0}, {"id": "adding", "group": 1}, {"id": "nested", "group": 1}, {"id": "consequents", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "imim1", "group": 0}, {"id": "closed", "group": 1}, {"id": "form", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "see", "group": 1}, {"id": "syl", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.83", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "108", "group": 1}, {"id": "com23", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "swap", "group": 1}, {"id": "2nd", "group": 1}, {"id": "3rd", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "com3r", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "rotate", "group": 1}, {"id": "right", "group": 1}, {"id": "com13", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "swap", "group": 1}, {"id": "1st", "group": 1}, {"id": "3rd", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "com3l", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "rotate", "group": 1}, {"id": "left", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.04", "group": 0}, {"id": "swap", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "com34", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "swap", "group": 1}, {"id": "3rd", "group": 1}, {"id": "4th", "group": 1}, {"id": "com4l", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "rotate", "group": 1}, {"id": "left", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "com4t", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "rotate", "group": 1}, {"id": "twice", "group": 1}, {"id": "com4r", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "rotate", "group": 1}, {"id": "right", "group": 1}, {"id": "com24", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "swap", "group": 1}, {"id": "2nd", "group": 1}, {"id": "4th", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "com14", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "swap", "group": 1}, {"id": "1st", "group": 1}, {"id": "4th", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "com45", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "swap", "group": 1}, {"id": "4th", "group": 1}, {"id": "5th", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "com35", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "swap", "group": 1}, {"id": "3rd", "group": 1}, {"id": "5th", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "com25", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "swap", "group": 1}, {"id": "2nd", "group": 1}, {"id": "5th", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "com5l", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "rotate", "group": 1}, {"id": "left", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "com15", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "swap", "group": 1}, {"id": "1st", "group": 1}, {"id": "5th", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "com52l", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "rotate", "group": 1}, {"id": "left", "group": 1}, {"id": "twice", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "com52r", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "rotate", "group": 1}, {"id": "right", "group": 1}, {"id": "twice", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "com5r", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "rotate", "group": 1}, {"id": "right", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "jarr", "group": 0}, {"id": "elimination", "group": 1}, {"id": "nested", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "kind", "group": 1}, {"id": "reversal", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.86i", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.86d", "group": 0}, {"id": "based", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.86", "group": 0}, {"id": "converse", "group": 1}, {"id": "axiom", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "108", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "loolin", "group": 0}, {"id": "linearity", "group": 1}, {"id": "axiom", "group": 1}, {"id": "logic", "group": 1}, {"id": "lukasiewicz", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "loowoz", "group": 0}, {"id": "alternate", "group": 1}, {"id": "linearity", "group": 1}, {"id": "axiom", "group": 1}, {"id": "logic", "group": 1}, {"id": "due", "group": 1}, {"id": "mathematical", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "con4d", "group": 0}, {"id": "derived", "group": 1}, {"id": "axiom", "group": 1}, {"id": "pm2.21d", "group": 0}, {"id": "contradiction", "group": 1}, {"id": "implies", "group": 1}, {"id": "anything", "group": 1}, {"id": "pm2.21dd", "group": 0}, {"id": "contradiction", "group": 1}, {"id": "implies", "group": 1}, {"id": "anything", "group": 1}, {"id": "pm2.21", "group": 0}, {"id": "wff", "group": 1}, {"id": "anything", "group": 1}, {"id": "true", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "104", "group": 1}, {"id": "also", "group": 1}, {"id": "called", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.24", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "104", "group": 1}, {"id": "pm2.18", "group": 0}, {"id": "contradiction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "103", "group": 1}, {"id": "also", "group": 1}, {"id": "called", "group": 1}, {"id": "pm2.18d", "group": 0}, {"id": "based", "group": 1}, {"id": "fl,", "group": 1}, {"id": "notnot2", "group": 0}, {"id": "converse", "group": 1}, {"id": "double", "group": 1}, {"id": "negation", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "102", "group": 1}, {"id": "classical", "group": 1}, {"id": "logic", "group": 1}, {"id": "our", "group": 1}, {"id": "logic", "group": 1}, {"id": "always", "group": 1}, {"id": "true", "group": 1}, {"id": "intuitionistic", "group": 1}, {"id": "logic", "group": 1}, {"id": "always", "group": 1}, {"id": "true,", "group": 1}, {"id": "intuitionistic", "group": 1}, {"id": "logic,", "group": 1}, {"id": "when", "group": 1}, {"id": "true", "group": 1}, {"id": "some", "group": 1}, {"id": "then", "group": 1}, {"id": "david", "group": 1}, {"id": "notnotrd", "group": 0}, {"id": "converting", "group": 1}, {"id": "into", "group": 1}, {"id": "original", "group": 1}, {"id": "double", "group": 1}, {"id": "negation", "group": 1}, {"id": "rule", "group": 1}, {"id": "translation", "group": 1}, {"id": "natural", "group": 1}, {"id": "rule", "group": 1}, {"id": "_g", "group": 1}, {"id": "ps", "group": 1}, {"id": "=>", "group": 1}, {"id": "_g", "group": 1}, {"id": "ps", "group": 1}, {"id": "see", "group": 1}, {"id": "natded", "group": 1}, {"id": "definition", "group": 1}, {"id": "[pfenning]", "group": 1}, {"id": "17", "group": 1}, {"id": "rule", "group": 1}, {"id": "valid", "group": 1}, {"id": "classical", "group": 1}, {"id": "logic", "group": 1}, {"id": "which", "group": 1}, {"id": "mpe", "group": 1}, {"id": "but", "group": 1}, {"id": "intuitionistic", "group": 1}, {"id": "logic", "group": 1}, {"id": "notnotri", "group": 0}, {"id": "inference", "group": 1}, {"id": "double", "group": 1}, {"id": "negation", "group": 1}, {"id": "con2d", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "con2", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mt2d", "group": 0}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "mt2i", "group": 0}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "nsyl3", "group": 0}, {"id": "negated", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "con2i", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "inference", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "nsyl", "group": 0}, {"id": "negated", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "notnot1", "group": 0}, {"id": "converse", "group": 1}, {"id": "double", "group": 1}, {"id": "negation", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "101", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "notnoti", "group": 0}, {"id": "infer", "group": 1}, {"id": "double", "group": 1}, {"id": "negation", "group": 1}, {"id": "con1d", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "mt3d", "group": 0}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "mt3i", "group": 0}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "nsyl2", "group": 0}, {"id": "negated", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "con1", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "102", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "con1i", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "inference", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "con4i", "group": 0}, {"id": "inference", "group": 1}, {"id": "rule", "group": 1}, {"id": "derived", "group": 1}, {"id": "axiom", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.21i", "group": 0}, {"id": "contradiction", "group": 1}, {"id": "implies", "group": 1}, {"id": "anything", "group": 1}, {"id": "inference", "group": 1}, {"id": "pm2.24ii", "group": 0}, {"id": "contradiction", "group": 1}, {"id": "implies", "group": 1}, {"id": "anything", "group": 1}, {"id": "inference", "group": 1}, {"id": "con3d", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "con3", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "103", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "con3i", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "con3rr3", "group": 0}, {"id": "rotate", "group": 1}, {"id": "through", "group": 1}, {"id": "consequent", "group": 1}, {"id": "right", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mt4", "group": 0}, {"id": "rule", "group": 1}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mt4d", "group": 0}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "mt4i", "group": 0}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "nsyld", "group": 0}, {"id": "negated", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "nsyli", "group": 0}, {"id": "negated", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "nsyl4", "group": 0}, {"id": "negated", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "pm2.24d", "group": 0}, {"id": "version", "group": 1}, {"id": "pm2.24i", "group": 0}, {"id": "inference", "group": 1}, {"id": "version", "group": 1}, {"id": "pm3.2im", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "expressed", "group": 1}, {"id": "primitive", "group": 1}, {"id": "connectives", "group": 1}, {"id": "mth8", "group": 0}, {"id": "8", "group": 1}, {"id": "[margaris]", "group": 1}, {"id": "jc", "group": 0}, {"id": "inference", "group": 1}, {"id": "joining", "group": 1}, {"id": "consequents", "group": 1}, {"id": "impi", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "expi", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "simprim", "group": 0}, {"id": "simplification", "group": 1}, {"id": "similar", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "112", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "simplim", "group": 0}, {"id": "simplification", "group": 1}, {"id": "similar", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "112", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.5", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.51", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "pm2.521", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.52", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "expt", "group": 0}, {"id": "exportation", "group": 1}, {"id": "expressed", "group": 1}, {"id": "primitive", "group": 1}, {"id": "connectives", "group": 1}, {"id": "impt", "group": 0}, {"id": "importation", "group": 1}, {"id": "expressed", "group": 1}, {"id": "primitive", "group": 1}, {"id": "connectives", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.61d", "group": 0}, {"id": "eliminating", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.61d1", "group": 0}, {"id": "inference", "group": 1}, {"id": "eliminating", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "pm2.61d2", "group": 0}, {"id": "inference", "group": 1}, {"id": "eliminating", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ja", "group": 0}, {"id": "inference", "group": 1}, {"id": "joining", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "jad", "group": 0}, {"id": "form", "group": 1}, {"id": "jarl", "group": 0}, {"id": "elimination", "group": 1}, {"id": "nested", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "kind", "group": 1}, {"id": "reversal", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.61i", "group": 0}, {"id": "inference", "group": 1}, {"id": "eliminating", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.61ii", "group": 0}, {"id": "inference", "group": 1}, {"id": "eliminating", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "pm2.61nii", "group": 0}, {"id": "inference", "group": 1}, {"id": "eliminating", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.61iii", "group": 0}, {"id": "inference", "group": 1}, {"id": "eliminating", "group": 1}, {"id": "three", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.01", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "o'cat,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.01d", "group": 0}, {"id": "based", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.6", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "pm2.61", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "useful", "group": 1}, {"id": "eliminating", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.65", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "contradiction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.65i", "group": 0}, {"id": "inference", "group": 1}, {"id": "rule", "group": 1}, {"id": "contradiction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.65d", "group": 0}, {"id": "rule", "group": 1}, {"id": "contradiction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mto", "group": 0}, {"id": "rule", "group": 1}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "rule", "group": 1}, {"id": "\"if", "group": 1}, {"id": "ps", "group": 1}, {"id": "true,", "group": 1}, {"id": "implies", "group": 1}, {"id": "ps", "group": 1}, {"id": "then", "group": 1}, {"id": "must", "group": 1}, {"id": "also", "group": 1}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "short", "group": 1}, {"id": "latin", "group": 1}, {"id": "means", "group": 1}, {"id": "\"the", "group": 1}, {"id": "remark", "group": 1}, {"id": "39", "group": 1}, {"id": "also", "group": 1}, {"id": "called", "group": 1}, {"id": "consequent", "group": 1}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "related", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "note", "group": 1}, {"id": "rule", "group": 1}, {"id": "also", "group": 1}, {"id": "valid", "group": 1}, {"id": "intuitionistic", "group": 1}, {"id": "logic", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mtod", "group": 0}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mtoi", "group": 0}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mt2", "group": 0}, {"id": "rule", "group": 1}, {"id": "similar", "group": 1}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mt3", "group": 0}, {"id": "rule", "group": 1}, {"id": "similar", "group": 1}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "peirce", "group": 0}, {"id": "axiom", "group": 1}, {"id": "between", "group": 1}, {"id": "intuitionistic", "group": 1}, {"id": "system", "group": 1}, {"id": "propositional", "group": 1}, {"id": "calculus", "group": 1}, {"id": "classical", "group": 1}, {"id": "system", "group": 1}, {"id": "when", "group": 1}, {"id": "axiom", "group": 1}, {"id": "added", "group": 1}, {"id": "intuitionistic", "group": 1}, {"id": "system,", "group": 1}, {"id": "system", "group": 1}, {"id": "becomes", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "our", "group": 1}, {"id": "classical", "group": 1}, {"id": "system", "group": 1}, {"id": "through", "group": 1}, {"id": "fact", "group": 1}, {"id": "about", "group": 1}, {"id": "requires", "group": 1}, {"id": "even", "group": 1}, {"id": "though", "group": 1}, {"id": "result", "group": 1}, {"id": "has", "group": 1}, {"id": "no", "group": 1}, {"id": "negation", "group": 1}, {"id": "connectives", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "looinv", "group": 0}, {"id": "axiom", "group": 1}, {"id": "logic", "group": 1}, {"id": "lukasiewicz", "group": 1}, {"id": "using", "group": 1}, {"id": "we", "group": 1}, {"id": "can", "group": 1}, {"id": "see", "group": 1}, {"id": "expresses", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "108", "group": 1}, {"id": "bijust", "group": 0}, {"id": "used", "group": 1}, {"id": "definition", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "bi1", "group": 0}, {"id": "property", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "bi3", "group": 0}, {"id": "property", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "impbii", "group": 0}, {"id": "infer", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "implication", "group": 1}, {"id": "converse", "group": 1}, {"id": "impbidd", "group": 0}, {"id": "deduce", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "implications", "group": 1}, {"id": "rodolfo", "group": 1}, {"id": "medina,", "group": 1}, {"id": "impbid21d", "group": 0}, {"id": "deduce", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "implications", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "impbid", "group": 0}, {"id": "deduce", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "implications", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "dfbi1", "group": 0}, {"id": "relate", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "primitive", "group": 1}, {"id": "connectives", "group": 1}, {"id": "see", "group": 1}, {"id": "version", "group": 1}, {"id": "proved", "group": 1}, {"id": "directly", "group": 1}, {"id": "axioms", "group": 1}, {"id": "dfbi1gb", "group": 0}, {"id": "has", "group": 1}, {"id": "several", "group": 1}, {"id": "properties", "group": 1}, {"id": "has", "group": 1}, {"id": "only", "group": 1}, {"id": "17", "group": 1}, {"id": "steps", "group": 1}, {"id": "directly", "group": 1}, {"id": "axioms", "group": 1}, {"id": "compared", "group": 1}, {"id": "over", "group": 1}, {"id": "steps", "group": 1}, {"id": "were", "group": 1}, {"id": "expanded", "group": 1}, {"id": "into", "group": 1}, {"id": "axioms", "group": 1}, {"id": "step", "group": 1}, {"id": "2", "group": 1}, {"id": "only", "group": 1}, {"id": "property", "group": 1}, {"id": "any", "group": 1}, {"id": "axiom", "group": 1}, {"id": "could", "group": 1}, {"id": "used", "group": 1}, {"id": "might", "group": 1}, {"id": "some", "group": 1}, {"id": "sense", "group": 1}, {"id": "but", "group": 1}, {"id": "fact", "group": 1}, {"id": "no", "group": 1}, {"id": "shorter", "group": 1}, {"id": "steps", "group": 1}, {"id": "how", "group": 1}, {"id": "intermediate", "group": 1}, {"id": "steps", "group": 1}, {"id": "can", "group": 1}, {"id": "size", "group": 1}, {"id": "even", "group": 1}, {"id": "short", "group": 1}, {"id": "proofs", "group": 1}, {"id": "only", "group": 1}, {"id": "17", "group": 1}, {"id": "notation,", "group": 1}, {"id": "but", "group": 1}, {"id": "generated", "group": 1}, {"id": "page", "group": 1}, {"id": "over", "group": 1}, {"id": "intermediate", "group": 1}, {"id": "steps", "group": 1}, {"id": "other", "group": 1}, {"id": "there", "group": 1}, {"id": "were", "group": 1}, {"id": "would", "group": 1}, {"id": "intermediate", "group": 1}, {"id": "steps", "group": 1}, {"id": "demonstrate", "group": 1}, {"id": "using", "group": 1}, {"id": "many", "group": 1}, {"id": "intermediate", "group": 1}, {"id": "theorems,", "group": 1}, {"id": "since", "group": 1}, {"id": "each", "group": 1}, {"id": "easier", "group": 1}, {"id": "biimpi", "group": 0}, {"id": "infer", "group": 1}, {"id": "implication", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "sylbi", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "implication", "group": 1}, {"id": "useful", "group": 1}, {"id": "substituting", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "definition", "group": 1}, {"id": "sylib", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "bi2", "group": 0}, {"id": "property", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bicom1", "group": 0}, {"id": "commutative", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bicom", "group": 0}, {"id": "commutative", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "117", "group": 1}, {"id": "bicomd", "group": 0}, {"id": "commute", "group": 1}, {"id": "sides", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "bicomi", "group": 0}, {"id": "inference", "group": 1}, {"id": "commutative", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "impbid1", "group": 0}, {"id": "infer", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "implications", "group": 1}, {"id": "impbid2", "group": 0}, {"id": "infer", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "implications", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "impcon4bid", "group": 0}, {"id": "variation", "group": 1}, {"id": "contraposition", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "biimpri", "group": 0}, {"id": "infer", "group": 1}, {"id": "converse", "group": 1}, {"id": "implication", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "biimpd", "group": 0}, {"id": "deduce", "group": 1}, {"id": "implication", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "mpbi", "group": 0}, {"id": "inference", "group": 1}, {"id": "biconditional,", "group": 1}, {"id": "related", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mpbir", "group": 0}, {"id": "inference", "group": 1}, {"id": "biconditional,", "group": 1}, {"id": "related", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mpbid", "group": 0}, {"id": "biconditional,", "group": 1}, {"id": "related", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mpbii", "group": 0}, {"id": "inference", "group": 1}, {"id": "nested", "group": 1}, {"id": "biconditional,", "group": 1}, {"id": "related", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "sylibr", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "useful", "group": 1}, {"id": "substituting", "group": 1}, {"id": "consequent", "group": 1}, {"id": "definition", "group": 1}, {"id": "sylbir", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "implication", "group": 1}, {"id": "sylibd", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "sylbid", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "mpbidi", "group": 0}, {"id": "biconditional,", "group": 1}, {"id": "related", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "syl5bi", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "nested", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "useful", "group": 1}, {"id": "substituting", "group": 1}, {"id": "embedded", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "definition", "group": 1}, {"id": "syl5bir", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "nested", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "syl5ib", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "syl5ibcom", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "syl5ibr", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "syl5ibrcom", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biimprd", "group": 0}, {"id": "deduce", "group": 1}, {"id": "converse", "group": 1}, {"id": "implication", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "biimpcd", "group": 0}, {"id": "deduce", "group": 1}, {"id": "commuted", "group": 1}, {"id": "implication", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "biimprcd", "group": 0}, {"id": "deduce", "group": 1}, {"id": "converse", "group": 1}, {"id": "commuted", "group": 1}, {"id": "implication", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "syl6ib", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "nested", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "syl6ibr", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "nested", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "useful", "group": 1}, {"id": "substituting", "group": 1}, {"id": "embedded", "group": 1}, {"id": "consequent", "group": 1}, {"id": "definition", "group": 1}, {"id": "syl6bi", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "syl6bir", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "syl7bi", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "doubly", "group": 1}, {"id": "nested", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "syl8ib", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "rule", "group": 1}, {"id": "inference", "group": 1}, {"id": "second", "group": 1}, {"id": "premise", "group": 1}, {"id": "used", "group": 1}, {"id": "replace", "group": 1}, {"id": "consequent", "group": 1}, {"id": "first", "group": 1}, {"id": "premise", "group": 1}, {"id": "mpbird", "group": 0}, {"id": "biconditional,", "group": 1}, {"id": "related", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mpbiri", "group": 0}, {"id": "inference", "group": 1}, {"id": "nested", "group": 1}, {"id": "biconditional,", "group": 1}, {"id": "related", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "sylibrd", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "sylbird", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "biid", "group": 0}, {"id": "principle", "group": 1}, {"id": "identity", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "117", "group": 1}, {"id": "biidd", "group": 0}, {"id": "principle", "group": 1}, {"id": "identity", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "pm5.1im", "group": 0}, {"id": "equivalent", "group": 1}, {"id": "they", "group": 1}, {"id": "both", "group": 1}, {"id": "true", "group": 1}, {"id": "closed", "group": 1}, {"id": "form", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "version", "group": 1}, {"id": "true,", "group": 1}, {"id": "no", "group": 1}, {"id": "matter", "group": 1}, {"id": "how", "group": 1}, {"id": "you", "group": 1}, {"id": "version", "group": 1}, {"id": "ps", "group": 1}, {"id": "ps", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "2th", "group": 0}, {"id": "equivalent", "group": 1}, {"id": "2thd", "group": 0}, {"id": "equivalent", "group": 1}, {"id": "rule", "group": 1}, {"id": "ibi", "group": 0}, {"id": "inference", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "implied", "group": 1}, {"id": "one", "group": 1}, {"id": "into", "group": 1}, {"id": "implication", "group": 1}, {"id": "ibir", "group": 0}, {"id": "inference", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "implied", "group": 1}, {"id": "one", "group": 1}, {"id": "into", "group": 1}, {"id": "implication", "group": 1}, {"id": "ibd", "group": 0}, {"id": "biconditional", "group": 1}, {"id": "implied", "group": 1}, {"id": "one", "group": 1}, {"id": "into", "group": 1}, {"id": "implication", "group": 1}, {"id": "pm5.74", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.74i", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "inference", "group": 1}, {"id": "rule", "group": 1}, {"id": "pm5.74ri", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "reverse", "group": 1}, {"id": "inference", "group": 1}, {"id": "rule", "group": 1}, {"id": "pm5.74d", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "rule", "group": 1}, {"id": "pm5.74rd", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "rule", "group": 1}, {"id": "bitri", "group": 0}, {"id": "inference", "group": 1}, {"id": "transitive", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bitr2i", "group": 0}, {"id": "inference", "group": 1}, {"id": "transitive", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "bitr3i", "group": 0}, {"id": "inference", "group": 1}, {"id": "transitive", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "bitr4i", "group": 0}, {"id": "inference", "group": 1}, {"id": "transitive", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "bitrd", "group": 0}, {"id": "form", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bitr2d", "group": 0}, {"id": "form", "group": 1}, {"id": "bitr3d", "group": 0}, {"id": "form", "group": 1}, {"id": "bitr4d", "group": 0}, {"id": "form", "group": 1}, {"id": "syl5bb", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biconditionals", "group": 1}, {"id": "syl5rbb", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biconditionals", "group": 1}, {"id": "syl5bbr", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biconditionals", "group": 1}, {"id": "syl5rbbr", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biconditionals", "group": 1}, {"id": "syl6bb", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biconditionals", "group": 1}, {"id": "syl6rbb", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biconditionals", "group": 1}, {"id": "syl6bbr", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biconditionals", "group": 1}, {"id": "syl6rbbr", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biconditionals", "group": 1}, {"id": "3imtr3i", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference,", "group": 1}, {"id": "useful", "group": 1}, {"id": "removing", "group": 1}, {"id": "definition", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "implication", "group": 1}, {"id": "3imtr4i", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference,", "group": 1}, {"id": "useful", "group": 1}, {"id": "applying", "group": 1}, {"id": "definition", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "implication", "group": 1}, {"id": "3imtr3d", "group": 0}, {"id": "more", "group": 1}, {"id": "general", "group": 1}, {"id": "version", "group": 1}, {"id": "useful", "group": 1}, {"id": "converting", "group": 1}, {"id": "conditional", "group": 1}, {"id": "definitions", "group": 1}, {"id": "formula", "group": 1}, {"id": "3imtr4d", "group": 0}, {"id": "more", "group": 1}, {"id": "general", "group": 1}, {"id": "version", "group": 1}, {"id": "useful", "group": 1}, {"id": "converting", "group": 1}, {"id": "conditional", "group": 1}, {"id": "definitions", "group": 1}, {"id": "formula", "group": 1}, {"id": "3imtr3g", "group": 0}, {"id": "more", "group": 1}, {"id": "general", "group": 1}, {"id": "version", "group": 1}, {"id": "useful", "group": 1}, {"id": "converting", "group": 1}, {"id": "definitions", "group": 1}, {"id": "formula", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "3imtr4g", "group": 0}, {"id": "more", "group": 1}, {"id": "general", "group": 1}, {"id": "version", "group": 1}, {"id": "useful", "group": 1}, {"id": "converting", "group": 1}, {"id": "definitions", "group": 1}, {"id": "formula", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "3bitri", "group": 0}, {"id": "chained", "group": 1}, {"id": "inference", "group": 1}, {"id": "transitive", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "3bitrri", "group": 0}, {"id": "chained", "group": 1}, {"id": "inference", "group": 1}, {"id": "transitive", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "3bitr2i", "group": 0}, {"id": "chained", "group": 1}, {"id": "inference", "group": 1}, {"id": "transitive", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "3bitr2ri", "group": 0}, {"id": "chained", "group": 1}, {"id": "inference", "group": 1}, {"id": "transitive", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "3bitr3i", "group": 0}, {"id": "chained", "group": 1}, {"id": "inference", "group": 1}, {"id": "transitive", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "3bitr3ri", "group": 0}, {"id": "chained", "group": 1}, {"id": "inference", "group": 1}, {"id": "transitive", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "3bitr4i", "group": 0}, {"id": "chained", "group": 1}, {"id": "inference", "group": 1}, {"id": "transitive", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "inference", "group": 1}, {"id": "frequently", "group": 1}, {"id": "used", "group": 1}, {"id": "apply", "group": 1}, {"id": "definition", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "3bitr4ri", "group": 0}, {"id": "chained", "group": 1}, {"id": "inference", "group": 1}, {"id": "transitive", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "3bitrd", "group": 0}, {"id": "transitivity", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "3bitrrd", "group": 0}, {"id": "transitivity", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "3bitr2d", "group": 0}, {"id": "transitivity", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "3bitr2rd", "group": 0}, {"id": "transitivity", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "3bitr3d", "group": 0}, {"id": "transitivity", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "useful", "group": 1}, {"id": "converting", "group": 1}, {"id": "conditional", "group": 1}, {"id": "definitions", "group": 1}, {"id": "formula", "group": 1}, {"id": "3bitr3rd", "group": 0}, {"id": "transitivity", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "3bitr4d", "group": 0}, {"id": "transitivity", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "useful", "group": 1}, {"id": "converting", "group": 1}, {"id": "conditional", "group": 1}, {"id": "definitions", "group": 1}, {"id": "formula", "group": 1}, {"id": "3bitr4rd", "group": 0}, {"id": "transitivity", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "3bitr3g", "group": 0}, {"id": "more", "group": 1}, {"id": "general", "group": 1}, {"id": "version", "group": 1}, {"id": "useful", "group": 1}, {"id": "converting", "group": 1}, {"id": "definitions", "group": 1}, {"id": "formula", "group": 1}, {"id": "3bitr4g", "group": 0}, {"id": "more", "group": 1}, {"id": "general", "group": 1}, {"id": "version", "group": 1}, {"id": "useful", "group": 1}, {"id": "converting", "group": 1}, {"id": "definitions", "group": 1}, {"id": "formula", "group": 1}, {"id": "bi3ant", "group": 0}, {"id": "construct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "position", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bisym", "group": 0}, {"id": "express", "group": 1}, {"id": "theorems", "group": 1}, {"id": "terms", "group": 1}, {"id": "biconditionals", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "notnot", "group": 0}, {"id": "double", "group": 1}, {"id": "negation", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "117", "group": 1}, {"id": "con34b", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "116", "group": 1}, {"id": "con4bid", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "notbid", "group": 0}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "notbi", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "117", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "notbii", "group": 0}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "con4bii", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "inference", "group": 1}, {"id": "mtbi", "group": 0}, {"id": "inference", "group": 1}, {"id": "biconditional,", "group": 1}, {"id": "related", "group": 1}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mtbir", "group": 0}, {"id": "inference", "group": 1}, {"id": "biconditional,", "group": 1}, {"id": "related", "group": 1}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mtbid", "group": 0}, {"id": "biconditional,", "group": 1}, {"id": "similar", "group": 1}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "mtbird", "group": 0}, {"id": "biconditional,", "group": 1}, {"id": "similar", "group": 1}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "mtbii", "group": 0}, {"id": "inference", "group": 1}, {"id": "biconditional,", "group": 1}, {"id": "similar", "group": 1}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "mtbiri", "group": 0}, {"id": "inference", "group": 1}, {"id": "biconditional,", "group": 1}, {"id": "similar", "group": 1}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "sylnib", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "sylnibr", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "useful", "group": 1}, {"id": "substituting", "group": 1}, {"id": "consequent", "group": 1}, {"id": "definition", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "sylnbi", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "implication", "group": 1}, {"id": "useful", "group": 1}, {"id": "substituting", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "definition", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "sylnbir", "group": 0}, {"id": "mixed", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "implication", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "xchnxbi", "group": 0}, {"id": "replacement", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "one", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "xchnxbir", "group": 0}, {"id": "replacement", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "one", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "xchbinx", "group": 0}, {"id": "replacement", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "one", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "xchbinxr", "group": 0}, {"id": "replacement", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "one", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "imbi2i", "group": 0}, {"id": "introduce", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bibi2i", "group": 0}, {"id": "inference", "group": 1}, {"id": "adding", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "left", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bibi1i", "group": 0}, {"id": "inference", "group": 1}, {"id": "adding", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "right", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "bibi12i", "group": 0}, {"id": "equivalence", "group": 1}, {"id": "equivalences", "group": 1}, {"id": "imbi2d", "group": 0}, {"id": "adding", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "imbi1d", "group": 0}, {"id": "adding", "group": 1}, {"id": "consequent", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bibi2d", "group": 0}, {"id": "adding", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "left", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bibi1d", "group": 0}, {"id": "adding", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "right", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "imbi12d", "group": 0}, {"id": "joining", "group": 1}, {"id": "equivalences", "group": 1}, {"id": "form", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "implications", "group": 1}, {"id": "bibi12d", "group": 0}, {"id": "joining", "group": 1}, {"id": "equivalences", "group": 1}, {"id": "form", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "biconditionals", "group": 1}, {"id": "imbi1", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "122", "group": 1}, {"id": "imbi2", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "122", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "imbi1i", "group": 0}, {"id": "introduce", "group": 1}, {"id": "consequent", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "imbi12i", "group": 0}, {"id": "join", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalences", "group": 1}, {"id": "form", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "implications", "group": 1}, {"id": "bibi1", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "122", "group": 1}, {"id": "con2bi", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "117", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "con2bid", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "con1bid", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "con1bii", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "con2bii", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "inference", "group": 1}, {"id": "con1b", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "bidirectional", "group": 1}, {"id": "version", "group": 1}, {"id": "con2b", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "bidirectional", "group": 1}, {"id": "version", "group": 1}, {"id": "biimt", "group": 0}, {"id": "wff", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "itself", "group": 1}, {"id": "true", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "pm5.5", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "a1bi", "group": 0}, {"id": "inference", "group": 1}, {"id": "rule", "group": 1}, {"id": "introducing", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mt2bi", "group": 0}, {"id": "false", "group": 1}, {"id": "consequent", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mtt", "group": 0}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.501", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "ibib", "group": 0}, {"id": "implication", "group": 1}, {"id": "terms", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ibibr", "group": 0}, {"id": "implication", "group": 1}, {"id": "terms", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "tbt", "group": 0}, {"id": "wff", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "truth", "group": 1}, {"id": "nbn2", "group": 0}, {"id": "negation", "group": 1}, {"id": "wff", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "wff's", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "falsehood", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bibif", "group": 0}, {"id": "transfer", "group": 1}, {"id": "negation", "group": 1}, {"id": "via", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "nbn", "group": 0}, {"id": "negation", "group": 1}, {"id": "wff", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "wff's", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "falsehood", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "nbn3", "group": 0}, {"id": "transfer", "group": 1}, {"id": "falsehood", "group": 1}, {"id": "via", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "pm5.21im", "group": 0}, {"id": "equivalent", "group": 1}, {"id": "they", "group": 1}, {"id": "both", "group": 1}, {"id": "false", "group": 1}, {"id": "closed", "group": 1}, {"id": "form", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "version", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "2false", "group": 0}, {"id": "equivalent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "2falsed", "group": 0}, {"id": "equivalent", "group": 1}, {"id": "rule", "group": 1}, {"id": "pm5.21ni", "group": 0}, {"id": "implying", "group": 1}, {"id": "false", "group": 1}, {"id": "one", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.21nii", "group": 0}, {"id": "eliminate", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "implied", "group": 1}, {"id": "each", "group": 1}, {"id": "side", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "pm5.21ndd", "group": 0}, {"id": "eliminate", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "implied", "group": 1}, {"id": "each", "group": 1}, {"id": "side", "group": 1}, {"id": "biconditional,", "group": 1}, {"id": "version", "group": 1}, {"id": "paul", "group": 1}, {"id": "chapman,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bija", "group": 0}, {"id": "combine", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "into", "group": 1}, {"id": "single", "group": 1}, {"id": "inference,", "group": 1}, {"id": "hypotheses", "group": 1}, {"id": "can", "group": 1}, {"id": "conclusion", "group": 1}, {"id": "see", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.18", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "124", "group": 1}, {"id": "says", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "same", "group": 1}, {"id": "negated", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "xor3", "group": 0}, {"id": "ways", "group": 1}, {"id": "express", "group": 1}, {"id": "nbbn", "group": 0}, {"id": "move", "group": 1}, {"id": "negation", "group": 1}, {"id": "outside", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "compare", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "124", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "biass", "group": 0}, {"id": "associative", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "axiom", "group": 1}, {"id": "system", "group": 1}, {"id": "applied", "group": 1}, {"id": "logic,", "group": 1}, {"id": "was", "group": 1}, {"id": "included", "group": 1}, {"id": "but", "group": 1}, {"id": "was", "group": 1}, {"id": "first", "group": 1}, {"id": "lukasiewicz", "group": 1}, {"id": "1923", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.19", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "124", "group": 1}, {"id": "bi2.04", "group": 0}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "commuted", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "122", "group": 1}, {"id": "pm5.4", "group": 0}, {"id": "antecedent", "group": 1}, {"id": "absorption", "group": 1}, {"id": "implication", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "imdi", "group": 0}, {"id": "distributive", "group": 1}, {"id": "implication", "group": 1}, {"id": "compare", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "pm5.41", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm4.8", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "122", "group": 1}, {"id": "pm4.81", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "122", "group": 1}, {"id": "imim21b", "group": 0}, {"id": "simplify", "group": 1}, {"id": "implication", "group": 1}, {"id": "between", "group": 1}, {"id": "implications", "group": 1}, {"id": "when", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "first", "group": 1}, {"id": "consequence", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "second", "group": 1}, {"id": "reverse", "group": 1}, {"id": "form", "group": 1}, {"id": "useful", "group": 1}, {"id": "successor", "group": 1}, {"id": "step", "group": 1}, {"id": "induction", "group": 1}, {"id": "proofs", "group": 1}, {"id": "paul", "group": 1}, {"id": "chapman,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm4.64", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm2.53", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "pm2.54", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "ori", "group": 0}, {"id": "infer", "group": 1}, {"id": "implication", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "orri", "group": 0}, {"id": "infer", "group": 1}, {"id": "implication", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "ord", "group": 0}, {"id": "deduce", "group": 1}, {"id": "implication", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "orrd", "group": 0}, {"id": "deduce", "group": 1}, {"id": "implication", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "jaoi", "group": 0}, {"id": "inference", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "implications", "group": 1}, {"id": "jaod", "group": 0}, {"id": "antecedents", "group": 1}, {"id": "implications", "group": 1}, {"id": "mpjaod", "group": 0}, {"id": "eliminate", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "orel1", "group": 0}, {"id": "elimination", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "orel2", "group": 0}, {"id": "elimination", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "olc", "group": 0}, {"id": "introduction", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "axiom", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "96", "group": 1}, {"id": "orc", "group": 0}, {"id": "introduction", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "104", "group": 1}, {"id": "pm1.4", "group": 0}, {"id": "axiom", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "96", "group": 1}, {"id": "orcom", "group": 0}, {"id": "commutative", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "118", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "orcomd", "group": 0}, {"id": "commutation", "group": 1}, {"id": "consequent", "group": 1}, {"id": "orcoms", "group": 0}, {"id": "commutation", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "orci", "group": 0}, {"id": "introducing", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "olci", "group": 0}, {"id": "introducing", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "orcd", "group": 0}, {"id": "introducing", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "translation", "group": 1}, {"id": "natural", "group": 1}, {"id": "rule", "group": 1}, {"id": "\\/", "group": 1}, {"id": "\\/", "group": 1}, {"id": "see", "group": 1}, {"id": "natded", "group": 1}, {"id": "olcd", "group": 0}, {"id": "introducing", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "translation", "group": 1}, {"id": "natural", "group": 1}, {"id": "rule", "group": 1}, {"id": "\\/", "group": 1}, {"id": "\\/", "group": 1}, {"id": "see", "group": 1}, {"id": "natded", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "orcs", "group": 0}, {"id": "eliminating", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "we", "group": 1}, {"id": "sometimes", "group": 1}, {"id": "suffix", "group": 1}, {"id": "label", "group": 1}, {"id": "inference", "group": 1}, {"id": "consequent", "group": 1}, {"id": "unchanged", "group": 1}, {"id": "means", "group": 1}, {"id": "inference", "group": 1}, {"id": "eliminates", "group": 1}, {"id": "need", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "syl", "group": 1}, {"id": "inference", "group": 1}, {"id": "olcs", "group": 0}, {"id": "eliminating", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.07", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "101", "group": 1}, {"id": "pm2.45", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "106", "group": 1}, {"id": "pm2.46", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "106", "group": 1}, {"id": "pm2.47", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "pm2.48", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "pm2.49", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "pm2.67-2", "group": 0}, {"id": "generalization", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "pm2.67", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "pm2.25", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "104", "group": 1}, {"id": "biorf", "group": 0}, {"id": "wff", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "falsehood", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "121", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "biortn", "group": 0}, {"id": "wff", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "negated", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "falsehood", "group": 1}, {"id": "biorfi", "group": 0}, {"id": "wff", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "falsehood", "group": 1}, {"id": "pm2.621", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "pm2.62", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.68", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "108", "group": 1}, {"id": "dfor2", "group": 0}, {"id": "logical", "group": 1}, {"id": "expressed", "group": 1}, {"id": "terms", "group": 1}, {"id": "implication", "group": 1}, {"id": "only", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "124", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "imor", "group": 0}, {"id": "implication", "group": 1}, {"id": "terms", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "imori", "group": 0}, {"id": "infer", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "implication", "group": 1}, {"id": "imorri", "group": 0}, {"id": "infer", "group": 1}, {"id": "implication", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "jonathan", "group": 1}, {"id": "exmid", "group": 0}, {"id": "excluded", "group": 1}, {"id": "also", "group": 1}, {"id": "called", "group": 1}, {"id": "principle", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "101", "group": 1}, {"id": "says", "group": 1}, {"id": "something", "group": 1}, {"id": "either", "group": 1}, {"id": "true", "group": 1}, {"id": "true,", "group": 1}, {"id": "there", "group": 1}, {"id": "no", "group": 1}, {"id": "values", "group": 1}, {"id": "truth", "group": 1}, {"id": "our", "group": 1}, {"id": "classical", "group": 1}, {"id": "logic", "group": 1}, {"id": "intuitionistic", "group": 1}, {"id": "logic", "group": 1}, {"id": "intuitionistic", "group": 1}, {"id": "logic,", "group": 1}, {"id": "statement", "group": 1}, {"id": "true", "group": 1}, {"id": "some", "group": 1}, {"id": "then", "group": 1}, {"id": "exmidd", "group": 0}, {"id": "excluded", "group": 1}, {"id": "middle", "group": 1}, {"id": "context", "group": 1}, {"id": "pm2.1", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "101", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.13", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "101", "group": 1}, {"id": "pm4.62", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm4.66", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm4.63", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "imnan", "group": 0}, {"id": "express", "group": 1}, {"id": "implication", "group": 1}, {"id": "terms", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "imnani", "group": 0}, {"id": "express", "group": 1}, {"id": "implication", "group": 1}, {"id": "terms", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "iman", "group": 0}, {"id": "express", "group": 1}, {"id": "implication", "group": 1}, {"id": "terms", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "[stoll]", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "annim", "group": 0}, {"id": "express", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "terms", "group": 1}, {"id": "implication", "group": 1}, {"id": "pm4.61", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm4.65", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm4.67", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "imp", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "eric", "group": 1}, {"id": "schmidt,", "group": 1}, {"id": "impcom", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "commuted", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "imp3a", "group": 0}, {"id": "importation", "group": 1}, {"id": "imp31", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "imp32", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "ex", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "used", "group": 1}, {"id": "but", "group": 1}, {"id": "was", "group": 1}, {"id": "changed", "group": 1}, {"id": "so", "group": 1}, {"id": "metamath", "group": 1}, {"id": "change", "group": 1}, {"id": "translation", "group": 1}, {"id": "natural", "group": 1}, {"id": "rule", "group": 1}, {"id": "i", "group": 1}, {"id": "see", "group": 1}, {"id": "natded", "group": 1}, {"id": "eric", "group": 1}, {"id": "schmidt,", "group": 1}, {"id": "expcom", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "commuted", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "exp3a", "group": 0}, {"id": "exportation", "group": 1}, {"id": "expdimp", "group": 0}, {"id": "version", "group": 1}, {"id": "followed", "group": 1}, {"id": "importation", "group": 1}, {"id": "impancom", "group": 0}, {"id": "mixed", "group": 1}, {"id": "inference", "group": 1}, {"id": "con3and", "group": 0}, {"id": "variant", "group": 1}, {"id": "importation", "group": 1}, {"id": "jonathan", "group": 1}, {"id": "pm2.01da", "group": 0}, {"id": "based", "group": 1}, {"id": "pm2.18da", "group": 0}, {"id": "based", "group": 1}, {"id": "pm3.3", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "112", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm3.31", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "112", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "impexp", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "122", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm3.2", "group": 0}, {"id": "join", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "111", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm3.21", "group": 0}, {"id": "join", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "111", "group": 1}, {"id": "pm3.22", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "111", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ancom", "group": 0}, {"id": "commutative", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "118", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ancomd", "group": 0}, {"id": "commutation", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "consequent", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "ancoms", "group": 0}, {"id": "inference", "group": 1}, {"id": "commuting", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ancomsd", "group": 0}, {"id": "commuting", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "pm3.2i", "group": 0}, {"id": "infer", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "pm3.43i", "group": 0}, {"id": "nested", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "simpl", "group": 0}, {"id": "elimination", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "112", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "simpli", "group": 0}, {"id": "inference", "group": 1}, {"id": "eliminating", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "simpld", "group": 0}, {"id": "eliminating", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "translation", "group": 1}, {"id": "natural", "group": 1}, {"id": "rule", "group": 1}, {"id": "elimination", "group": 1}, {"id": "see", "group": 1}, {"id": "natded", "group": 1}, {"id": "simplbi", "group": 0}, {"id": "eliminating", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "simpr", "group": 0}, {"id": "elimination", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "112", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "simpri", "group": 0}, {"id": "inference", "group": 1}, {"id": "eliminating", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "simprd", "group": 0}, {"id": "eliminating", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "translation", "group": 1}, {"id": "natural", "group": 1}, {"id": "rule", "group": 1}, {"id": "elimination", "group": 1}, {"id": "see", "group": 1}, {"id": "natded", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "simprbi", "group": 0}, {"id": "eliminating", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "adantr", "group": 0}, {"id": "inference", "group": 1}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "right", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "adantl", "group": 0}, {"id": "inference", "group": 1}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "left", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantld", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "left", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantrd", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "right", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "mpan9", "group": 0}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "conjoining", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "syldan", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "sylan", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "sylanb", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "sylanbr", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "sylan2", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "sylan2b", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "sylan2br", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "syl2an", "group": 0}, {"id": "double", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "syl2anr", "group": 0}, {"id": "double", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "syl2anb", "group": 0}, {"id": "double", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "syl2anbr", "group": 0}, {"id": "double", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "syland", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "sylan2d", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "syl2and", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "biimpa", "group": 0}, {"id": "inference", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "biimpar", "group": 0}, {"id": "inference", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "biimpac", "group": 0}, {"id": "inference", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "biimparc", "group": 0}, {"id": "inference", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "ianor", "group": 0}, {"id": "negated", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "terms", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "de", "group": 1}, {"id": "morgan's", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "anor", "group": 0}, {"id": "conjunction", "group": 1}, {"id": "terms", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "de", "group": 1}, {"id": "morgan's", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ioran", "group": 0}, {"id": "negated", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "terms", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "de", "group": 1}, {"id": "morgan's", "group": 1}, {"id": "compare", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm4.52", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm4.53", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm4.54", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm4.55", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm4.56", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "oran", "group": 0}, {"id": "disjunction", "group": 1}, {"id": "terms", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "de", "group": 1}, {"id": "morgan's", "group": 1}, {"id": "compare", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm4.57", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm3.1", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "111", "group": 1}, {"id": "pm3.11", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "111", "group": 1}, {"id": "pm3.12", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "111", "group": 1}, {"id": "pm3.13", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "111", "group": 1}, {"id": "pm3.14", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "111", "group": 1}, {"id": "iba", "group": 0}, {"id": "introduction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "121", "group": 1}, {"id": "ibar", "group": 0}, {"id": "introduction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "biantru", "group": 0}, {"id": "wff", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "truth", "group": 1}, {"id": "biantrur", "group": 0}, {"id": "wff", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "truth", "group": 1}, {"id": "biantrud", "group": 0}, {"id": "wff", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "truth", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "biantrurd", "group": 0}, {"id": "wff", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "truth", "group": 1}, {"id": "jaao", "group": 0}, {"id": "inference", "group": 1}, {"id": "conjoining", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "implications", "group": 1}, {"id": "jaoa", "group": 0}, {"id": "inference", "group": 1}, {"id": "conjoining", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "implications", "group": 1}, {"id": "allan,", "group": 1}, {"id": "pm3.44", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "113", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "jao", "group": 0}, {"id": "disjunction", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "compare", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "113", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm1.2", "group": 0}, {"id": "axiom", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "which", "group": 1}, {"id": "they", "group": 1}, {"id": "call", "group": 1}, {"id": "oridm", "group": 0}, {"id": "idempotent", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "117", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm4.25", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "117", "group": 1}, {"id": "orim12i", "group": 0}, {"id": "antecedents", "group": 1}, {"id": "consequents", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "orim1i", "group": 0}, {"id": "introduce", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "implication", "group": 1}, {"id": "orim2i", "group": 0}, {"id": "introduce", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "implication", "group": 1}, {"id": "orbi2i", "group": 0}, {"id": "inference", "group": 1}, {"id": "adding", "group": 1}, {"id": "left", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "orbi1i", "group": 0}, {"id": "inference", "group": 1}, {"id": "adding", "group": 1}, {"id": "right", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "orbi12i", "group": 0}, {"id": "infer", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "equivalences", "group": 1}, {"id": "pm1.5", "group": 0}, {"id": "axiom", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "96", "group": 1}, {"id": "or12", "group": 0}, {"id": "swap", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "orass", "group": 0}, {"id": "associative", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "118", "group": 1}, {"id": "pm2.31", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "104", "group": 1}, {"id": "pm2.32", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "105", "group": 1}, {"id": "or32", "group": 0}, {"id": "rearrangement", "group": 1}, {"id": "or4", "group": 0}, {"id": "rearrangement", "group": 1}, {"id": "4", "group": 1}, {"id": "or42", "group": 0}, {"id": "rearrangement", "group": 1}, {"id": "4", "group": 1}, {"id": "orordi", "group": 0}, {"id": "distribution", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "over", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "orordir", "group": 0}, {"id": "distribution", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "over", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "jca", "group": 0}, {"id": "deduce", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "consequents", "group": 1}, {"id": "implications", "group": 1}, {"id": "consequents", "group": 1}, {"id": "equivalent", "group": 1}, {"id": "natural", "group": 1}, {"id": "rule", "group": 1}, {"id": "i", "group": 1}, {"id": "see", "group": 1}, {"id": "natded", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "jcad", "group": 0}, {"id": "conjoining", "group": 1}, {"id": "consequents", "group": 1}, {"id": "implications", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "jca31", "group": 0}, {"id": "join", "group": 1}, {"id": "three", "group": 1}, {"id": "consequents", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "jca32", "group": 0}, {"id": "join", "group": 1}, {"id": "three", "group": 1}, {"id": "consequents", "group": 1}, {"id": "fl,", "group": 1}, {"id": "jcai", "group": 0}, {"id": "replacing", "group": 1}, {"id": "implication", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "jctil", "group": 0}, {"id": "inference", "group": 1}, {"id": "conjoining", "group": 1}, {"id": "left", "group": 1}, {"id": "consequent", "group": 1}, {"id": "implication", "group": 1}, {"id": "jctir", "group": 0}, {"id": "inference", "group": 1}, {"id": "conjoining", "group": 1}, {"id": "right", "group": 1}, {"id": "consequent", "group": 1}, {"id": "implication", "group": 1}, {"id": "jctl", "group": 0}, {"id": "inference", "group": 1}, {"id": "conjoining", "group": 1}, {"id": "left", "group": 1}, {"id": "consequent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "jctr", "group": 0}, {"id": "inference", "group": 1}, {"id": "conjoining", "group": 1}, {"id": "right", "group": 1}, {"id": "consequent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "jctild", "group": 0}, {"id": "conjoining", "group": 1}, {"id": "left", "group": 1}, {"id": "consequent", "group": 1}, {"id": "implication", "group": 1}, {"id": "jctird", "group": 0}, {"id": "conjoining", "group": 1}, {"id": "right", "group": 1}, {"id": "consequent", "group": 1}, {"id": "implication", "group": 1}, {"id": "ancl", "group": 0}, {"id": "conjoin", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "left", "group": 1}, {"id": "consequent", "group": 1}, {"id": "anclb", "group": 0}, {"id": "conjoin", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "left", "group": 1}, {"id": "consequent", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.42", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "ancr", "group": 0}, {"id": "conjoin", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "right", "group": 1}, {"id": "consequent", "group": 1}, {"id": "ancrb", "group": 0}, {"id": "conjoin", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "right", "group": 1}, {"id": "consequent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ancli", "group": 0}, {"id": "conjoining", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "left", "group": 1}, {"id": "consequent", "group": 1}, {"id": "ancri", "group": 0}, {"id": "conjoining", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "right", "group": 1}, {"id": "consequent", "group": 1}, {"id": "ancld", "group": 0}, {"id": "conjoining", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "left", "group": 1}, {"id": "consequent", "group": 1}, {"id": "nested", "group": 1}, {"id": "implication", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ancrd", "group": 0}, {"id": "conjoining", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "right", "group": 1}, {"id": "consequent", "group": 1}, {"id": "nested", "group": 1}, {"id": "implication", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anc2l", "group": 0}, {"id": "conjoin", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "left", "group": 1}, {"id": "consequent", "group": 1}, {"id": "nested", "group": 1}, {"id": "implication", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anc2r", "group": 0}, {"id": "conjoin", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "right", "group": 1}, {"id": "consequent", "group": 1}, {"id": "nested", "group": 1}, {"id": "implication", "group": 1}, {"id": "anc2li", "group": 0}, {"id": "conjoining", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "left", "group": 1}, {"id": "consequent", "group": 1}, {"id": "nested", "group": 1}, {"id": "implication", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anc2ri", "group": 0}, {"id": "conjoining", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "right", "group": 1}, {"id": "consequent", "group": 1}, {"id": "nested", "group": 1}, {"id": "implication", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm3.41", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "113", "group": 1}, {"id": "pm3.42", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "113", "group": 1}, {"id": "pm3.4", "group": 0}, {"id": "conjunction", "group": 1}, {"id": "implies", "group": 1}, {"id": "implication", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "113", "group": 1}, {"id": "pm4.45im", "group": 0}, {"id": "conjunction", "group": 1}, {"id": "implication", "group": 1}, {"id": "compare", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "119", "group": 1}, {"id": "anim12d", "group": 0}, {"id": "conjoin", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "consequents", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anim1d", "group": 0}, {"id": "add", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "right", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "consequent", "group": 1}, {"id": "anim2d", "group": 0}, {"id": "add", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "left", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "consequent", "group": 1}, {"id": "anim12i", "group": 0}, {"id": "conjoin", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "consequents", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anim12ci", "group": 0}, {"id": "variant", "group": 1}, {"id": "commutation", "group": 1}, {"id": "jonathan", "group": 1}, {"id": "anim1i", "group": 0}, {"id": "introduce", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "implication", "group": 1}, {"id": "anim2i", "group": 0}, {"id": "introduce", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "implication", "group": 1}, {"id": "anim12ii", "group": 0}, {"id": "conjoin", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "consequents", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "prth", "group": 0}, {"id": "conjoin", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "consequents", "group": 1}, {"id": "closed", "group": 1}, {"id": "form", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "113", "group": 1}, {"id": "was", "group": 1}, {"id": "proved", "group": 1}, {"id": "enough", "group": 1}, {"id": "call", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.3", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "104", "group": 1}, {"id": "pm2.41", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "106", "group": 1}, {"id": "pm2.42", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "106", "group": 1}, {"id": "pm2.4", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "106", "group": 1}, {"id": "pm2.65da", "group": 0}, {"id": "rule", "group": 1}, {"id": "contradiction", "group": 1}, {"id": "pm4.44", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "119", "group": 1}, {"id": "pm4.14", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "117", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm3.37", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "112", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "nan", "group": 0}, {"id": "move", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "out", "group": 1}, {"id": "negation", "group": 1}, {"id": "pm4.15", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "117", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm4.78", "group": 0}, {"id": "implication", "group": 1}, {"id": "distributes", "group": 1}, {"id": "over", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "121", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm4.79", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "121", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm4.87", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "122", "group": 1}, {"id": "eric", "group": 1}, {"id": "schmidt,", "group": 1}, {"id": "pm3.33", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "112", "group": 1}, {"id": "pm3.34", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "112", "group": 1}, {"id": "pm3.35", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "112", "group": 1}, {"id": "pm5.31", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "imp4a", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "imp4b", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "imp4c", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "imp4d", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "imp41", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "imp42", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "imp43", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "imp44", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "imp45", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "imp5a", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "imp5d", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "imp5g", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "imp55", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "imp511", "group": 0}, {"id": "importation", "group": 1}, {"id": "inference", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "expimpd", "group": 0}, {"id": "exportation", "group": 1}, {"id": "followed", "group": 1}, {"id": "version", "group": 1}, {"id": "importation", "group": 1}, {"id": "exp31", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "exp32", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "exp4a", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "exp4b", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "exp4c", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "exp4d", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "exp41", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "exp42", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "exp43", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "exp44", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "exp45", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "expr", "group": 0}, {"id": "wff", "group": 1}, {"id": "right", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "exp5c", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "exp53", "group": 0}, {"id": "exportation", "group": 1}, {"id": "inference", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "expl", "group": 0}, {"id": "wff", "group": 1}, {"id": "left", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "impr", "group": 0}, {"id": "wff", "group": 1}, {"id": "into", "group": 1}, {"id": "right", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "impl", "group": 0}, {"id": "wff", "group": 1}, {"id": "left", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "impac", "group": 0}, {"id": "importation", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "consequent", "group": 1}, {"id": "exbiri", "group": 0}, {"id": "inference", "group": 1}, {"id": "form", "group": 1}, {"id": "automatically", "group": 1}, {"id": "translated", "group": 1}, {"id": "minimized", "group": 1}, {"id": "alan", "group": 1}, {"id": "sare,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "simprbda", "group": 0}, {"id": "eliminating", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "simplbda", "group": 0}, {"id": "eliminating", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "simplbi2", "group": 0}, {"id": "eliminating", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "automatically", "group": 1}, {"id": "derived", "group": 1}, {"id": "alan", "group": 1}, {"id": "sare,", "group": 1}, {"id": "dfbi2", "group": 0}, {"id": "similar", "group": 1}, {"id": "standard", "group": 1}, {"id": "definition", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "definition", "group": 1}, {"id": "[margaris]", "group": 1}, {"id": "49", "group": 1}, {"id": "dfbi", "group": 0}, {"id": "definition", "group": 1}, {"id": "form", "group": 1}, {"id": "help", "group": 1}, {"id": "definition", "group": 1}, {"id": "note", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "one", "group": 1}, {"id": "which", "group": 1}, {"id": "properties", "group": 1}, {"id": "follow", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "one", "group": 1}, {"id": "which", "group": 1}, {"id": "properties", "group": 1}, {"id": "imply", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "pm4.71", "group": 0}, {"id": "implication", "group": 1}, {"id": "terms", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm4.71r", "group": 0}, {"id": "implication", "group": 1}, {"id": "terms", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "reversed", "group": 1}, {"id": "pm4.71i", "group": 0}, {"id": "inference", "group": 1}, {"id": "converting", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "inference", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm4.71ri", "group": 0}, {"id": "inference", "group": 1}, {"id": "converting", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "inference", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "reversed", "group": 1}, {"id": "pm4.71d", "group": 0}, {"id": "converting", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm4.71rd", "group": 0}, {"id": "converting", "group": 1}, {"id": "implication", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "120", "group": 1}, {"id": "pm5.32", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "pm5.32i", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "inference", "group": 1}, {"id": "rule", "group": 1}, {"id": "pm5.32ri", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "inference", "group": 1}, {"id": "rule", "group": 1}, {"id": "pm5.32d", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "rule", "group": 1}, {"id": "pm5.32rd", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "rule", "group": 1}, {"id": "pm5.32da", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "rule", "group": 1}, {"id": "biadan2", "group": 0}, {"id": "add", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "madsen,", "group": 1}, {"id": "pm4.24", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "117", "group": 1}, {"id": "anidm", "group": 0}, {"id": "idempotent", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anidms", "group": 0}, {"id": "inference", "group": 1}, {"id": "idempotent", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "anidmdbi", "group": 0}, {"id": "conjunction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "anasss", "group": 0}, {"id": "associative", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "applied", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "eliminates", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "anassrs", "group": 0}, {"id": "associative", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "applied", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "eliminates", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "anass", "group": 0}, {"id": "associative", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "118", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "sylanl1", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "sylanl2", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "sylanr1", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "sylanr2", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "sylani", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "sylan2i", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "syl2ani", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "sylan9", "group": 0}, {"id": "nested", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "conjoining", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "sylan9r", "group": 0}, {"id": "nested", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "conjoining", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "mtand", "group": 0}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "mtord", "group": 0}, {"id": "modus", "group": 1}, {"id": "tollens", "group": 1}, {"id": "involving", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "syl2anc", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "combined", "group": 1}, {"id": "contraction", "group": 1}, {"id": "sylancl", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "combined", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "madsen,", "group": 1}, {"id": "sylancr", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "combined", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "madsen,", "group": 1}, {"id": "sylanbrc", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "madsen,", "group": 1}, {"id": "sylancb", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "combined", "group": 1}, {"id": "contraction", "group": 1}, {"id": "sylancbr", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "combined", "group": 1}, {"id": "contraction", "group": 1}, {"id": "sylancom", "group": 0}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "mpdan", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mpancom", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "commutation", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mpan", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mpan2", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mp2an", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mp4an", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "madsen,", "group": 1}, {"id": "mpan2d", "group": 0}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mpand", "group": 0}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mpani", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mpan2i", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mp2ani", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mp2and", "group": 0}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mpanl1", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mpanl2", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mpanl12", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mpanr1", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mpanr2", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mpanr12", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "mpanlr1", "group": 0}, {"id": "inference", "group": 1}, {"id": "based", "group": 1}, {"id": "modus", "group": 1}, {"id": "ponens", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.74da", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "rule", "group": 1}, {"id": "pm4.45", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "119", "group": 1}, {"id": "imdistan", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "imdistani", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "imdistanri", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "imdistand", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "rule", "group": 1}, {"id": "imdistanda", "group": 0}, {"id": "distribution", "group": 1}, {"id": "implication", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "version", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "madsen,", "group": 1}, {"id": "anbi2i", "group": 0}, {"id": "introduce", "group": 1}, {"id": "left", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anbi1i", "group": 0}, {"id": "introduce", "group": 1}, {"id": "right", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anbi2ci", "group": 0}, {"id": "variant", "group": 1}, {"id": "commutation", "group": 1}, {"id": "jonathan", "group": 1}, {"id": "anbi12i", "group": 0}, {"id": "conjoin", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "equivalences", "group": 1}, {"id": "anbi12ci", "group": 0}, {"id": "variant", "group": 1}, {"id": "commutation", "group": 1}, {"id": "jonathan", "group": 1}, {"id": "sylan9bb", "group": 0}, {"id": "nested", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "conjoining", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "sylan9bbr", "group": 0}, {"id": "nested", "group": 1}, {"id": "syllogism", "group": 1}, {"id": "inference", "group": 1}, {"id": "conjoining", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "orbi2d", "group": 0}, {"id": "adding", "group": 1}, {"id": "left", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "orbi1d", "group": 0}, {"id": "adding", "group": 1}, {"id": "right", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "anbi2d", "group": 0}, {"id": "adding", "group": 1}, {"id": "left", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anbi1d", "group": 0}, {"id": "adding", "group": 1}, {"id": "right", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "orbi1", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "118", "group": 1}, {"id": "anbi1", "group": 0}, {"id": "introduce", "group": 1}, {"id": "right", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "118", "group": 1}, {"id": "anbi2", "group": 0}, {"id": "introduce", "group": 1}, {"id": "left", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "both", "group": 1}, {"id": "sides", "group": 1}, {"id": "logical", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "bitr", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "117", "group": 1}, {"id": "orbi12d", "group": 0}, {"id": "joining", "group": 1}, {"id": "equivalences", "group": 1}, {"id": "form", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "anbi12d", "group": 0}, {"id": "joining", "group": 1}, {"id": "equivalences", "group": 1}, {"id": "form", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "pm5.3", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "pm5.61", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantll", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantlr", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantrl", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantrr", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantlll", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantllr", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantlrl", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantlrr", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantrll", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantrlr", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantrrl", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "adantrrr", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ad2antrr", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ad2antlr", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ad2antrl", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad2antll", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad3antrrr", "group": 0}, {"id": "adding", "group": 1}, {"id": "three", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad3antlr", "group": 0}, {"id": "adding", "group": 1}, {"id": "three", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad4antr", "group": 0}, {"id": "adding", "group": 1}, {"id": "4", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad4antlr", "group": 0}, {"id": "adding", "group": 1}, {"id": "4", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad5antr", "group": 0}, {"id": "adding", "group": 1}, {"id": "5", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad5antlr", "group": 0}, {"id": "adding", "group": 1}, {"id": "5", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad6antr", "group": 0}, {"id": "adding", "group": 1}, {"id": "6", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad6antlr", "group": 0}, {"id": "adding", "group": 1}, {"id": "6", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad7antr", "group": 0}, {"id": "adding", "group": 1}, {"id": "7", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad7antlr", "group": 0}, {"id": "adding", "group": 1}, {"id": "7", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad8antr", "group": 0}, {"id": "adding", "group": 1}, {"id": "8", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad8antlr", "group": 0}, {"id": "adding", "group": 1}, {"id": "8", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad9antr", "group": 0}, {"id": "adding", "group": 1}, {"id": "9", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad9antlr", "group": 0}, {"id": "adding", "group": 1}, {"id": "9", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad10antr", "group": 0}, {"id": "adding", "group": 1}, {"id": "10", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad10antlr", "group": 0}, {"id": "adding", "group": 1}, {"id": "10", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad2ant2l", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad2ant2r", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad2ant2lr", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ad2ant2rl", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "simpll", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simplr", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simprl", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simprr", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simplll", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simpllr", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simplrl", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simplrr", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simprll", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simprlr", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simprrl", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simprrr", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simp-4l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-4r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-5l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-5r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-6l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-6r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-7l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-7r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-8l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-8r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-9l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-9r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-10l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-10r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-11l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp-11r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "jaob", "group": 0}, {"id": "disjunction", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "compare", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "121", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "jaoian", "group": 0}, {"id": "inference", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "implications", "group": 1}, {"id": "jaodan", "group": 0}, {"id": "antecedents", "group": 1}, {"id": "implications", "group": 1}, {"id": "mpjaodan", "group": 0}, {"id": "eliminate", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "translation", "group": 1}, {"id": "natural", "group": 1}, {"id": "rule", "group": 1}, {"id": "\\/", "group": 1}, {"id": "\\/", "group": 1}, {"id": "see", "group": 1}, {"id": "natded", "group": 1}, {"id": "pm4.77", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "121", "group": 1}, {"id": "pm2.63", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "pm2.64", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "107", "group": 1}, {"id": "pm2.61ian", "group": 0}, {"id": "elimination", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "pm2.61dan", "group": 0}, {"id": "elimination", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "pm2.61ddan", "group": 0}, {"id": "elimination", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "pm2.61dda", "group": 0}, {"id": "elimination", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "condan", "group": 0}, {"id": "contradiction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "abai", "group": 0}, {"id": "introduce", "group": 1}, {"id": "one", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "other", "group": 1}, {"id": "biconditional,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.53", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "an12", "group": 0}, {"id": "swap", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "note", "group": 1}, {"id": "first", "group": 1}, {"id": "digit", "group": 1}, {"id": "label", "group": 1}, {"id": "outer", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "next", "group": 1}, {"id": "digit", "group": 1}, {"id": "2", "group": 1}, {"id": "inner", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "position", "group": 1}, {"id": "an32", "group": 0}, {"id": "rearrangement", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "an13", "group": 0}, {"id": "rearrangement", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "an31", "group": 0}, {"id": "rearrangement", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "an12s", "group": 0}, {"id": "swap", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "label", "group": 1}, {"id": "suffix", "group": 1}, {"id": "means", "group": 1}, {"id": "combined", "group": 1}, {"id": "syl", "group": 1}, {"id": "variant", "group": 1}, {"id": "ancom2s", "group": 0}, {"id": "inference", "group": 1}, {"id": "commuting", "group": 1}, {"id": "nested", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "an13s", "group": 0}, {"id": "swap", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "an32s", "group": 0}, {"id": "swap", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "ancom1s", "group": 0}, {"id": "inference", "group": 1}, {"id": "commuting", "group": 1}, {"id": "nested", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "an31s", "group": 0}, {"id": "swap", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "anass1rs", "group": 0}, {"id": "conjunction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "madsen,", "group": 1}, {"id": "anabs1", "group": 0}, {"id": "absorption", "group": 1}, {"id": "into", "group": 1}, {"id": "embedded", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anabs5", "group": 0}, {"id": "absorption", "group": 1}, {"id": "into", "group": 1}, {"id": "embedded", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anabs7", "group": 0}, {"id": "absorption", "group": 1}, {"id": "into", "group": 1}, {"id": "embedded", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anabsan", "group": 0}, {"id": "absorption", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "anabss1", "group": 0}, {"id": "absorption", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "into", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anabss4", "group": 0}, {"id": "absorption", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "into", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "anabss5", "group": 0}, {"id": "absorption", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "into", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anabsi5", "group": 0}, {"id": "absorption", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "into", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anabsi6", "group": 0}, {"id": "absorption", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "into", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "anabsi7", "group": 0}, {"id": "absorption", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "into", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anabsi8", "group": 0}, {"id": "absorption", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "into", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "anabss7", "group": 0}, {"id": "absorption", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "into", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "anabsan2", "group": 0}, {"id": "absorption", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "anabss3", "group": 0}, {"id": "absorption", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "into", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "an4", "group": 0}, {"id": "rearrangement", "group": 1}, {"id": "4", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "an42", "group": 0}, {"id": "rearrangement", "group": 1}, {"id": "4", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "an4s", "group": 0}, {"id": "inference", "group": 1}, {"id": "4", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "an42s", "group": 0}, {"id": "inference", "group": 1}, {"id": "4", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "anandi", "group": 0}, {"id": "distribution", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "over", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "anandir", "group": 0}, {"id": "distribution", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "over", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "anandis", "group": 0}, {"id": "inference", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "anandirs", "group": 0}, {"id": "inference", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "impbida", "group": 0}, {"id": "deduce", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "implications", "group": 1}, {"id": "pm3.48", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "114", "group": 1}, {"id": "pm3.45", "group": 0}, {"id": "fact", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "113", "group": 1}, {"id": "im2anan9", "group": 0}, {"id": "joining", "group": 1}, {"id": "nested", "group": 1}, {"id": "implications", "group": 1}, {"id": "form", "group": 1}, {"id": "implication", "group": 1}, {"id": "im2anan9r", "group": 0}, {"id": "joining", "group": 1}, {"id": "nested", "group": 1}, {"id": "implications", "group": 1}, {"id": "form", "group": 1}, {"id": "implication", "group": 1}, {"id": "anim12dan", "group": 0}, {"id": "conjoin", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "consequents", "group": 1}, {"id": "orim12d", "group": 0}, {"id": "antecedents", "group": 1}, {"id": "consequents", "group": 1}, {"id": "orim1d", "group": 0}, {"id": "antecedents", "group": 1}, {"id": "consequents", "group": 1}, {"id": "orim2d", "group": 0}, {"id": "antecedents", "group": 1}, {"id": "consequents", "group": 1}, {"id": "orim2", "group": 0}, {"id": "axiom", "group": 1}, {"id": "sum", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "97", "group": 1}, {"id": "pm2.38", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "105", "group": 1}, {"id": "pm2.36", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "105", "group": 1}, {"id": "pm2.37", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "105", "group": 1}, {"id": "pm2.73", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "108", "group": 1}, {"id": "pm2.74", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "108", "group": 1}, {"id": "orimdi", "group": 0}, {"id": "disjunction", "group": 1}, {"id": "distributes", "group": 1}, {"id": "over", "group": 1}, {"id": "implication", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.76", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "108", "group": 1}, {"id": "pm2.75", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "108", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.8", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "108", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.81", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "108", "group": 1}, {"id": "pm2.82", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "108", "group": 1}, {"id": "pm2.85", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "108", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm3.2ni", "group": 0}, {"id": "infer", "group": 1}, {"id": "negated", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "negated", "group": 1}, {"id": "orabs", "group": 0}, {"id": "absorption", "group": 1}, {"id": "redundant", "group": 1}, {"id": "internal", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "compare", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "119", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "oranabs", "group": 0}, {"id": "disjunct", "group": 1}, {"id": "into", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.1", "group": 0}, {"id": "equivalent", "group": 1}, {"id": "they", "group": 1}, {"id": "both", "group": 1}, {"id": "true", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "123", "group": 1}, {"id": "pm5.21", "group": 0}, {"id": "equivalent", "group": 1}, {"id": "they", "group": 1}, {"id": "both", "group": 1}, {"id": "false", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "124", "group": 1}, {"id": "pm3.43", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "113", "group": 1}, {"id": "jcab", "group": 0}, {"id": "distributive", "group": 1}, {"id": "implication", "group": 1}, {"id": "over", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "compare", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "121", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ordi", "group": 0}, {"id": "distributive", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "119", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ordir", "group": 0}, {"id": "distributive", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "pm4.76", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "121", "group": 1}, {"id": "andi", "group": 0}, {"id": "distributive", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "118", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "andir", "group": 0}, {"id": "distributive", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "orddi", "group": 0}, {"id": "double", "group": 1}, {"id": "distributive", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "anddi", "group": 0}, {"id": "double", "group": 1}, {"id": "distributive", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "pm4.39", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "118", "group": 1}, {"id": "pm4.38", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "118", "group": 1}, {"id": "bi2anan9", "group": 0}, {"id": "joining", "group": 1}, {"id": "equivalences", "group": 1}, {"id": "form", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "bi2anan9r", "group": 0}, {"id": "joining", "group": 1}, {"id": "equivalences", "group": 1}, {"id": "form", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "bi2bian9", "group": 0}, {"id": "joining", "group": 1}, {"id": "biconditionals", "group": 1}, {"id": "different", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "pm4.72", "group": 0}, {"id": "implication", "group": 1}, {"id": "terms", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "121", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "imimorb", "group": 0}, {"id": "simplify", "group": 1}, {"id": "implication", "group": 1}, {"id": "between", "group": 1}, {"id": "implications", "group": 1}, {"id": "paul", "group": 1}, {"id": "chapman,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.33", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "pm5.36", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "bianabs", "group": 0}, {"id": "hypothesis", "group": 1}, {"id": "into", "group": 1}, {"id": "second", "group": 1}, {"id": "member", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "fl,", "group": 1}, {"id": "oibabs", "group": 0}, {"id": "absorption", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "into", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm3.24", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "111", "group": 1}, {"id": "who", "group": 1}, {"id": "call", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm2.26", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "104", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.11", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "123", "group": 1}, {"id": "pm5.12", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "123", "group": 1}, {"id": "pm5.14", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "123", "group": 1}, {"id": "pm5.13", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "123", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.17", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "124", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.15", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "124", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.16", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "124", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "xor", "group": 0}, {"id": "ways", "group": 1}, {"id": "express", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "124", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "nbi2", "group": 0}, {"id": "ways", "group": 1}, {"id": "express", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "dfbi3", "group": 0}, {"id": "alternate", "group": 1}, {"id": "definition", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "124", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.24", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "124", "group": 1}, {"id": "xordi", "group": 0}, {"id": "conjunction", "group": 1}, {"id": "distributes", "group": 1}, {"id": "over", "group": 1}, {"id": "using", "group": 1}, {"id": "ps", "group": 1}, {"id": "express", "group": 1}, {"id": "one", "group": 1}, {"id": "way", "group": 1}, {"id": "distributive", "group": 1}, {"id": "multiplication", "group": 1}, {"id": "over", "group": 1}, {"id": "addition", "group": 1}, {"id": "modulo", "group": 1}, {"id": "2", "group": 1}, {"id": "arithmetic", "group": 1}, {"id": "necessarily", "group": 1}, {"id": "true", "group": 1}, {"id": "intuitionistic", "group": 1}, {"id": "logic,", "group": 1}, {"id": "though", "group": 1}, {"id": "does", "group": 1}, {"id": "hold", "group": 1}, {"id": "biort", "group": 0}, {"id": "wff", "group": 1}, {"id": "truth", "group": 1}, {"id": "true", "group": 1}, {"id": "pm5.55", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.21nd", "group": 0}, {"id": "eliminate", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "implied", "group": 1}, {"id": "each", "group": 1}, {"id": "side", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.35", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "pm5.54", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "baib", "group": 0}, {"id": "move", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "outside", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "baibr", "group": 0}, {"id": "move", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "outside", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "rbaib", "group": 0}, {"id": "move", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "outside", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "rbaibr", "group": 0}, {"id": "move", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "outside", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "baibd", "group": 0}, {"id": "move", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "outside", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "rbaibd", "group": 0}, {"id": "move", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "outside", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "pm5.44", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "pm5.6", "group": 0}, {"id": "conjunction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "consequent", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "orcanai", "group": 0}, {"id": "change", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "consequent", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "intnan", "group": 0}, {"id": "introduction", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "inside", "group": 1}, {"id": "contradiction", "group": 1}, {"id": "intnanr", "group": 0}, {"id": "introduction", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "inside", "group": 1}, {"id": "contradiction", "group": 1}, {"id": "intnand", "group": 0}, {"id": "introduction", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "inside", "group": 1}, {"id": "contradiction", "group": 1}, {"id": "intnanrd", "group": 0}, {"id": "introduction", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "inside", "group": 1}, {"id": "contradiction", "group": 1}, {"id": "mpbiran", "group": 0}, {"id": "truth", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "mpbiran2", "group": 0}, {"id": "truth", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "mpbir2an", "group": 0}, {"id": "conjunction", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "mpbi2and", "group": 0}, {"id": "conjunction", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "mpbir2and", "group": 0}, {"id": "conjunction", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm5.62", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "pm5.63", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bianfi", "group": 0}, {"id": "wff", "group": 1}, {"id": "falsehood", "group": 1}, {"id": "false", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bianfd", "group": 0}, {"id": "wff", "group": 1}, {"id": "falsehood", "group": 1}, {"id": "false", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm4.43", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "119", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm4.82", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "122", "group": 1}, {"id": "pm4.83", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "122", "group": 1}, {"id": "pclem6", "group": 0}, {"id": "negation", "group": 1}, {"id": "inferred", "group": 1}, {"id": "embedded", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "biantr", "group": 0}, {"id": "transitive", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "compare", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "117", "group": 1}, {"id": "orbidi", "group": 0}, {"id": "disjunction", "group": 1}, {"id": "distributes", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "axiom", "group": 1}, {"id": "system", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "biluk", "group": 0}, {"id": "axiom", "group": 1}, {"id": "calculus", "group": 1}, {"id": "logic", "group": 1}, {"id": "96", "group": 1}, {"id": "pm5.7", "group": 0}, {"id": "disjunction", "group": 1}, {"id": "distributes", "group": 1}, {"id": "over", "group": 1}, {"id": "biconditional", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "similar", "group": 1}, {"id": "bigolden", "group": 0}, {"id": "rule", "group": 1}, {"id": "proofs", "group": 1}, {"id": "pm5.71", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "125", "group": 1}, {"id": "pm5.75", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "bimsc1", "group": 0}, {"id": "conjunct", "group": 1}, {"id": "one", "group": 1}, {"id": "side", "group": 1}, {"id": "equivalence", "group": 1}, {"id": "4exmid", "group": 0}, {"id": "disjunction", "group": 1}, {"id": "four", "group": 1}, {"id": "possible", "group": 1}, {"id": "combinations", "group": 1}, {"id": "their", "group": 1}, {"id": "always", "group": 1}, {"id": "true", "group": 1}, {"id": "david", "group": 1}, {"id": "abernethy,", "group": 1}, {"id": "ecase2d", "group": 0}, {"id": "elimination", "group": 1}, {"id": "cases", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ecase3", "group": 0}, {"id": "inference", "group": 1}, {"id": "elimination", "group": 1}, {"id": "cases", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ecase", "group": 0}, {"id": "inference", "group": 1}, {"id": "elimination", "group": 1}, {"id": "cases", "group": 1}, {"id": "ecase3d", "group": 0}, {"id": "elimination", "group": 1}, {"id": "cases", "group": 1}, {"id": "ecased", "group": 0}, {"id": "elimination", "group": 1}, {"id": "cases", "group": 1}, {"id": "ecase3ad", "group": 0}, {"id": "elimination", "group": 1}, {"id": "cases", "group": 1}, {"id": "ccase", "group": 0}, {"id": "inference", "group": 1}, {"id": "combining", "group": 1}, {"id": "cases", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "ccased", "group": 0}, {"id": "combining", "group": 1}, {"id": "cases", "group": 1}, {"id": "ccase2", "group": 0}, {"id": "inference", "group": 1}, {"id": "combining", "group": 1}, {"id": "cases", "group": 1}, {"id": "4cases", "group": 0}, {"id": "inference", "group": 1}, {"id": "eliminating", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "four", "group": 1}, {"id": "possible", "group": 1}, {"id": "cases", "group": 1}, {"id": "result", "group": 1}, {"id": "their", "group": 1}, {"id": "combinations", "group": 1}, {"id": "4casesdan", "group": 0}, {"id": "eliminating", "group": 1}, {"id": "antecedents", "group": 1}, {"id": "four", "group": 1}, {"id": "possible", "group": 1}, {"id": "cases", "group": 1}, {"id": "result", "group": 1}, {"id": "their", "group": 1}, {"id": "combinations", "group": 1}, {"id": "niabn", "group": 0}, {"id": "inference", "group": 1}, {"id": "dedlem0a", "group": 0}, {"id": "alternate", "group": 1}, {"id": "version", "group": 1}, {"id": "weak", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "dedlem0b", "group": 0}, {"id": "alternate", "group": 1}, {"id": "version", "group": 1}, {"id": "weak", "group": 1}, {"id": "dedlema", "group": 0}, {"id": "weak", "group": 1}, {"id": "dedlemb", "group": 0}, {"id": "weak", "group": 1}, {"id": "elimh", "group": 0}, {"id": "hypothesis", "group": 1}, {"id": "builder", "group": 1}, {"id": "weak", "group": 1}, {"id": "more", "group": 1}, {"id": "see", "group": 1}, {"id": "link", "group": 1}, {"id": "metamath", "group": 1}, {"id": "explorer", "group": 1}, {"id": "page", "group": 1}, {"id": "dedt", "group": 0}, {"id": "weak", "group": 1}, {"id": "more", "group": 1}, {"id": "see", "group": 1}, {"id": "link", "group": 1}, {"id": "metamath", "group": 1}, {"id": "explorer", "group": 1}, {"id": "page", "group": 1}, {"id": "con3th", "group": 0}, {"id": "contraposition", "group": 1}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "103", "group": 1}, {"id": "version", "group": 1}, {"id": "use", "group": 1}, {"id": "weak", "group": 1}, {"id": "derive", "group": 1}, {"id": "consensus", "group": 0}, {"id": "dual", "group": 1}, {"id": "\\/", "group": 1}, {"id": "commonly", "group": 1}, {"id": "used", "group": 1}, {"id": "logic", "group": 1}, {"id": "eliminate", "group": 1}, {"id": "redundant", "group": 1}, {"id": "terms", "group": 1}, {"id": "expressions", "group": 1}, {"id": "we", "group": 1}, {"id": "prove", "group": 1}, {"id": "term", "group": 1}, {"id": "ps", "group": 1}, {"id": "ch", "group": 1}, {"id": "side", "group": 1}, {"id": "redundant", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "pm4.42", "group": 0}, {"id": "[whiteheadrussell]", "group": 1}, {"id": "119", "group": 1}, {"id": "ninba", "group": 0}, {"id": "inference", "group": 1}, {"id": "prlem1", "group": 0}, {"id": "specialized", "group": 1}, {"id": "theory", "group": 1}, {"id": "derive", "group": 1}, {"id": "axiom", "group": 1}, {"id": "pairing", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "prlem2", "group": 0}, {"id": "specialized", "group": 1}, {"id": "theory", "group": 1}, {"id": "derive", "group": 1}, {"id": "axiom", "group": 1}, {"id": "pairing", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "oplem1", "group": 0}, {"id": "specialized", "group": 1}, {"id": "theory", "group": 1}, {"id": "ordered", "group": 1}, {"id": "pair", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "rnlem", "group": 0}, {"id": "used", "group": 1}, {"id": "construction", "group": 1}, {"id": "numbers", "group": 1}, {"id": "dn1", "group": 0}, {"id": "single", "group": 1}, {"id": "axiom", "group": 1}, {"id": "algebra", "group": 1}, {"id": "known", "group": 1}, {"id": "see", "group": 1}, {"id": "jeffrey", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "jaoi2", "group": 0}, {"id": "inference", "group": 1}, {"id": "removing", "group": 1}, {"id": "negated", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "wolf", "group": 1}, {"id": "lammen,", "group": 1}, {"id": "jaoi2OLD", "group": 0}, {"id": "obsolete", "group": 1}, {"id": "jaoi3", "group": 0}, {"id": "inference", "group": 1}, {"id": "disjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "3orass", "group": 0}, {"id": "associative", "group": 1}, {"id": "triple", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "3anass", "group": 0}, {"id": "associative", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "3anrot", "group": 0}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "3orrot", "group": 0}, {"id": "triple", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "3ancoma", "group": 0}, {"id": "commutation", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "3orcoma", "group": 0}, {"id": "commutation", "group": 1}, {"id": "triple", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "3ancomb", "group": 0}, {"id": "commutation", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "3orcomb", "group": 0}, {"id": "commutation", "group": 1}, {"id": "triple", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "3anrev", "group": 0}, {"id": "reversal", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "3anan32", "group": 0}, {"id": "convert", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "then", "group": 1}, {"id": "commute", "group": 1}, {"id": "jonathan", "group": 1}, {"id": "3anan12", "group": 0}, {"id": "convert", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "then", "group": 1}, {"id": "commute", "group": 1}, {"id": "jonathan", "group": 1}, {"id": "anandi3", "group": 0}, {"id": "distribution", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "over", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "david", "group": 1}, {"id": "wheeler,", "group": 1}, {"id": "anandi3r", "group": 0}, {"id": "distribution", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "over", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "david", "group": 1}, {"id": "wheeler,", "group": 1}, {"id": "3anor", "group": 0}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "expressed", "group": 1}, {"id": "terms", "group": 1}, {"id": "triple", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "3ianor", "group": 0}, {"id": "negated", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "expressed", "group": 1}, {"id": "terms", "group": 1}, {"id": "triple", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "3ioran", "group": 0}, {"id": "negated", "group": 1}, {"id": "triple", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "3oran", "group": 0}, {"id": "triple", "group": 1}, {"id": "disjunction", "group": 1}, {"id": "terms", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "3simpa", "group": 0}, {"id": "simplification", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "3simpb", "group": 0}, {"id": "simplification", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "3simpc", "group": 0}, {"id": "simplification", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp1", "group": 0}, {"id": "simplification", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp2", "group": 0}, {"id": "simplification", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp3", "group": 0}, {"id": "simplification", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simpl1", "group": 0}, {"id": "simplification", "group": 1}, {"id": "rule", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simpl2", "group": 0}, {"id": "simplification", "group": 1}, {"id": "rule", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simpl3", "group": 0}, {"id": "simplification", "group": 1}, {"id": "rule", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simpr1", "group": 0}, {"id": "simplification", "group": 1}, {"id": "rule", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simpr2", "group": 0}, {"id": "simplification", "group": 1}, {"id": "rule", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simpr3", "group": 0}, {"id": "simplification", "group": 1}, {"id": "rule", "group": 1}, {"id": "hankins,", "group": 1}, {"id": "simp1i", "group": 0}, {"id": "infer", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp2i", "group": 0}, {"id": "infer", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp3i", "group": 0}, {"id": "infer", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp1d", "group": 0}, {"id": "deduce", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp2d", "group": 0}, {"id": "deduce", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp3d", "group": 0}, {"id": "deduce", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp1bi", "group": 0}, {"id": "deduce", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "jonathan", "group": 1}, {"id": "simp2bi", "group": 0}, {"id": "deduce", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "jonathan", "group": 1}, {"id": "simp3bi", "group": 0}, {"id": "deduce", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "jonathan", "group": 1}, {"id": "3adant1", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "3adant2", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "3adant3", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjunct", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "3ad2ant1", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "3ad2ant2", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "3ad2ant3", "group": 0}, {"id": "adding", "group": 1}, {"id": "conjuncts", "group": 1}, {"id": "antecedent", "group": 1}, {"id": "simp1l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp1r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp2l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp2r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp3l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp3r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp11", "group": 0}, {"id": "simplification", "group": 1}, {"id": "doubly", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp12", "group": 0}, {"id": "simplification", "group": 1}, {"id": "doubly", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp13", "group": 0}, {"id": "simplification", "group": 1}, {"id": "doubly", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp21", "group": 0}, {"id": "simplification", "group": 1}, {"id": "doubly", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp22", "group": 0}, {"id": "simplification", "group": 1}, {"id": "doubly", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp23", "group": 0}, {"id": "simplification", "group": 1}, {"id": "doubly", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp31", "group": 0}, {"id": "simplification", "group": 1}, {"id": "doubly", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp32", "group": 0}, {"id": "simplification", "group": 1}, {"id": "doubly", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simp33", "group": 0}, {"id": "simplification", "group": 1}, {"id": "doubly", "group": 1}, {"id": "triple", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simpll1", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simpll2", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simpll3", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simplr1", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simplr2", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simplr3", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simprl1", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simprl2", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simprl3", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simprr1", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simprr2", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simprr3", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simpl1l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simpl1r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simpl2l", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}, {"id": "simpl2r", "group": 0}, {"id": "simplification", "group": 1}, {"id": "conjunction", "group": 1}], "links": [{"source": "dummylink", "target": "inference"}, {"source": "dummylink", "target": "rule"}, {"source": "dummylink", "target": "next"}, {"source": "dummylink", "target": "one,"}, {"source": "dummylink", "target": "will"}, {"source": "dummylink", "target": "normally"}, {"source": "dummylink", "target": "never"}, {"source": "dummylink", "target": "appear"}, {"source": "dummylink", "target": "completed"}, {"source": "dummylink", "target": "can"}, {"source": "dummylink", "target": "you"}, {"source": "dummylink", "target": "using"}, {"source": "dummylink", "target": "logic"}, {"source": "dummylink", "target": "please"}, {"source": "dummylink", "target": "start"}, {"source": "dummylink", "target": "statement"}, {"source": "dummylink", "target": "instead"}, {"source": "dummylink", "target": "technical"}, {"source": "dummylink", "target": "inference"}, {"source": "dummylink", "target": "provides"}, {"source": "dummylink", "target": "way"}, {"source": "dummylink", "target": "add"}, {"source": "dummylink", "target": "independent"}, {"source": "dummylink", "target": "under"}, {"source": "dummylink", "target": "later"}, {"source": "dummylink", "target": "assignment"}, {"source": "dummylink", "target": "normal"}, {"source": "dummylink", "target": "step"}, {"source": "dummylink", "target": "metamath"}, {"source": "dummylink", "target": "assistant"}, {"source": "dummylink", "target": "requires"}, {"source": "dummylink", "target": "proofs"}, {"source": "dummylink", "target": "conclusion"}, {"source": "dummylink", "target": "no"}, {"source": "dummylink", "target": "has"}, {"source": "dummylink", "target": "no"}, {"source": "dummylink", "target": "work"}, {"source": "dummylink", "target": "inference"}, {"source": "dummylink", "target": "provides"}, {"source": "dummylink", "target": "can"}, {"source": "dummylink", "target": "at"}, {"source": "dummylink", "target": "any"}, {"source": "dummylink", "target": "point"}, {"source": "dummylink", "target": "allow"}, {"source": "dummylink", "target": "independent"}, {"source": "dummylink", "target": "later"}, {"source": "dummylink", "target": "use"}, {"source": "dummylink", "target": "final"}, {"source": "dummylink", "target": "inference"}, {"source": "dummylink", "target": "any"}, {"source": "dummylink", "target": "step"}, {"source": "dummylink", "target": "last"}, {"source": "dummylink", "target": "step"}, {"source": "dummylink", "target": "most"}, {"source": "dummylink", "target": "since"}, {"source": "dummylink", "target": "can"}, {"source": "dummylink", "target": "used"}, {"source": "dummylink", "target": "step"}, {"source": "dummylink", "target": "will"}, {"source": "dummylink", "target": "hypothesis"}, {"source": "dummylink", "target": "where"}, {"source": "dummylink", "target": "main"}, {"source": "dummylink", "target": "can"}, {"source": "dummylink", "target": "2"}, {"source": "dummylink", "target": "independent"}, {"source": "dummylink", "target": "hypothesis"}, {"source": "dummylink", "target": "use"}, {"source": "dummylink", "target": "command"}, {"source": "dummylink", "target": "conclusion"}, {"source": "dummylink", "target": "independent"}, {"source": "dummylink", "target": "3"}, {"source": "dummylink", "target": "after"}, {"source": "dummylink", "target": "independent"}, {"source": "dummylink", "target": "use"}, {"source": "dummylink", "target": "automatically"}, {"source": "dummylink", "target": "step"}, {"source": "dummylink", "target": "main"}, {"source": "dummylink", "target": "4"}, {"source": "dummylink", "target": "after"}, {"source": "dummylink", "target": "entire"}, {"source": "dummylink", "target": "use"}, {"source": "dummylink", "target": "up"}, {"source": "dummylink", "target": "all"}, {"source": "dummylink", "target": "automatically"}, {"source": "dummylink", "target": "inference"}, {"source": "dummylink", "target": "was"}, {"source": "dummylink", "target": "partially"}, {"source": "dummylink", "target": "completed"}, {"source": "dummylink", "target": "mmj2"}, {"source": "dummylink", "target": "assistant"}, {"source": "dummylink", "target": "but"}, {"source": "dummylink", "target": "can"}, {"source": "dummylink", "target": "also"}, {"source": "dummylink", "target": "useful"}, {"source": "dummylink", "target": "own"}, {"source": "dummylink", "target": "no"}, {"source": "dummylink", "target": "axioms"}, {"source": "dummylink", "target": "required"}, {"source": "idi", "target": "inference"}, {"source": "idi", "target": "form"}, {"source": "idi", "target": "inference"}, {"source": "idi", "target": "rule,"}, {"source": "idi", "target": "which"}, {"source": "idi", "target": "requires"}, {"source": "idi", "target": "no"}, {"source": "idi", "target": "axioms"}, {"source": "idi", "target": "proof,"}, {"source": "idi", "target": "useful"}, {"source": "idi", "target": "mmj2"}, {"source": "idi", "target": "normally"}, {"source": "idi", "target": "referenced"}, {"source": "idi", "target": "final"}, {"source": "idi", "target": "version"}, {"source": "idi", "target": "proof,"}, {"source": "idi", "target": "since"}, {"source": "idi", "target": "always"}, {"source": "idi", "target": "redundant"}, {"source": "idi", "target": "can"}, {"source": "idi", "target": "removed"}, {"source": "idi", "target": "using"}, {"source": "idi", "target": "command"}, {"source": "idi", "target": "metamath"}, {"source": "idi", "target": "assistant"}, {"source": "idi", "target": "alan"}, {"source": "idi", "target": "sare,"}, {"source": "mp2", "target": "double"}, {"source": "mp2", "target": "modus"}, {"source": "mp2", "target": "ponens"}, {"source": "mp2", "target": "inference"}, {"source": "mp2", "target": "see"}, {"source": "mp2", "target": "shorter"}, {"source": "mp2", "target": "using"}, {"source": "mp2", "target": "more"}, {"source": "mp2", "target": "axioms"}, {"source": "mp2b", "target": "double"}, {"source": "mp2b", "target": "modus"}, {"source": "mp2b", "target": "ponens"}, {"source": "mp2b", "target": "inference"}, {"source": "a1i", "target": "inference"}, {"source": "a1i", "target": "derived"}, {"source": "a1i", "target": "axiom"}, {"source": "a1i", "target": "see"}, {"source": "a1i", "target": "our"}, {"source": "a1i", "target": "use"}, {"source": "a1i", "target": "terms"}, {"source": "a1i", "target": "see"}, {"source": "a1i", "target": "also"}, {"source": "a1i", "target": "comment"}, {"source": "mp1i", "target": "replace"}, {"source": "mp1i", "target": "antecedent"}, {"source": "a2i", "target": "inference"}, {"source": "a2i", "target": "derived"}, {"source": "a2i", "target": "axiom"}, {"source": "imim2i", "target": "inference"}, {"source": "imim2i", "target": "adding"}, {"source": "imim2i", "target": "common"}, {"source": "imim2i", "target": "antecedents"}, {"source": "imim2i", "target": "implication"}, {"source": "mpd", "target": "modus"}, {"source": "mpd", "target": "ponens"}, {"source": "mpd", "target": "translation"}, {"source": "mpd", "target": "natural"}, {"source": "mpd", "target": "rule"}, {"source": "mpd", "target": "see"}, {"source": "mpd", "target": "natded"}, {"source": "syl", "target": "inference"}, {"source": "syl", "target": "version"}, {"source": "syl", "target": "transitive"}, {"source": "syl", "target": "laws"}, {"source": "syl", "target": "implication"}, {"source": "syl", "target": "which"}, {"source": "syl", "target": "call"}, {"source": "syl", "target": "\"the"}, {"source": "syl", "target": "principle"}, {"source": "syl", "target": "syllogism"}, {"source": "syl", "target": "derived"}, {"source": "syl", "target": "after"}, {"source": "syl", "target": "[whiteheadrussell]"}, {"source": "syl", "target": "101"}, {"source": "syl", "target": "some"}, {"source": "syl", "target": "authors"}, {"source": "syl", "target": "call"}, {"source": "syl", "target": "bit"}, {"source": "syl", "target": "most"}, {"source": "syl", "target": "commonly"}, {"source": "syl", "target": "referenced"}, {"source": "syl", "target": "assertion"}, {"source": "syl", "target": "our"}, {"source": "syl", "target": "second"}, {"source": "syl", "target": "place"}, {"source": "syl", "target": "followed"}, {"source": "syl", "target": "adantr"}, {"source": "syl", "target": "metamath"}, {"source": "syl", "target": "program"}, {"source": "syl", "target": "command"}, {"source": "syl", "target": "shows"}, {"source": "syl", "target": "o'cat,"}, {"source": "syl", "target": "wolf"}, {"source": "syl", "target": "lammen,"}, {"source": "mpi", "target": "nested"}, {"source": "mpi", "target": "modus"}, {"source": "mpi", "target": "ponens"}, {"source": "mpi", "target": "inference"}, {"source": "mpi", "target": "allan,"}, {"source": "mp2ALT", "target": "alternate"}, {"source": "mp2ALT", "target": "shorter"}, {"source": "mp2ALT", "target": "but"}, {"source": "mp2ALT", "target": "uses"}, {"source": "mp2ALT", "target": "more"}, {"source": "mp2ALT", "target": "axioms"}, {"source": "mp2ALT", "target": "wolf"}, {"source": "mp2ALT", "target": "lammen,"}, {"source": "3syl", "target": "inference"}, {"source": "3syl", "target": "syllogisms"}, {"source": "4syl", "target": "inference"}, {"source": "4syl", "target": "three"}, {"source": "4syl", "target": "syllogisms"}, {"source": "4syl", "target": "use"}, {"source": "4syl", "target": "because"}, {"source": "4syl", "target": "can"}, {"source": "4syl", "target": "command"}, {"source": "4syl", "target": "have"}, {"source": "4syl", "target": "very"}, {"source": "4syl", "target": "long"}, {"source": "4syl", "target": "times"}, {"source": "4syl", "target": "however,"}, {"source": "4syl", "target": "free"}, {"source": "4syl", "target": "use"}, {"source": "4syl", "target": "you"}, {"source": "4syl", "target": "file"}, {"source": "4syl", "target": "used"}, {"source": "4syl", "target": "bj,"}, {"source": "id", "target": "principle"}, {"source": "id", "target": "identity"}, {"source": "id", "target": "[whiteheadrussell]"}, {"source": "id", "target": "101"}, {"source": "id", "target": "another"}, {"source": "id", "target": "version"}, {"source": "id", "target": "directly"}, {"source": "id", "target": "axioms,"}, {"source": "id", "target": "see"}, {"source": "id", "target": "allan,"}, {"source": "id1", "target": "principle"}, {"source": "id1", "target": "identity"}, {"source": "id1", "target": "[whiteheadrussell]"}, {"source": "id1", "target": "101"}, {"source": "id1", "target": "version"}, {"source": "id1", "target": "proved"}, {"source": "id1", "target": "directly"}, {"source": "id1", "target": "axioms"}, {"source": "id1", "target": "demonstration"}, {"source": "id1", "target": "example"}, {"source": "id1", "target": "literature"}, {"source": "id1", "target": "step"}, {"source": "id1", "target": "proofs"}, {"source": "id1", "target": "[margaris]"}, {"source": "id1", "target": "example"}, {"source": "id1", "target": "103"}, {"source": "id1", "target": "[bellmachover]"}, {"source": "id1", "target": "18"}, {"source": "id1", "target": "[mendelson]"}, {"source": "id1", "target": "36"}, {"source": "id1", "target": "also"}, {"source": "id1", "target": "first"}, {"source": "id1", "target": "logic"}, {"source": "id1", "target": "17"}, {"source": "id1", "target": "23"}, {"source": "id1", "target": "at"}, {"source": "id1", "target": "shorter"}, {"source": "id1", "target": "version"}, {"source": "id1", "target": "takes"}, {"source": "id1", "target": "advantage"}, {"source": "id1", "target": "proved"}, {"source": "id1", "target": "theorems,"}, {"source": "id1", "target": "see"}, {"source": "idd", "target": "principle"}, {"source": "idd", "target": "identity"}, {"source": "idd", "target": "antecedent"}, {"source": "a1d", "target": "introducing"}, {"source": "a1d", "target": "embedded"}, {"source": "a1d", "target": "antecedent"}, {"source": "a1d", "target": "we"}, {"source": "a1d", "target": "often"}, {"source": "a1d", "target": "call"}, {"source": "a1d", "target": "suffix"}, {"source": "a1d", "target": "label"}, {"source": "a1d", "target": "whenever"}, {"source": "a1d", "target": "hypotheses"}, {"source": "a1d", "target": "conclusion"}, {"source": "a1d", "target": "each"}, {"source": "a1d", "target": "same"}, {"source": "a1d", "target": "antecedent"}, {"source": "a1d", "target": "allows"}, {"source": "a1d", "target": "us"}, {"source": "a1d", "target": "use"}, {"source": "a1d", "target": "places"}, {"source": "a1d", "target": "where"}, {"source": "a1d", "target": "traditional"}, {"source": "a1d", "target": "textbook"}, {"source": "a1d", "target": "standard"}, {"source": "a1d", "target": "would"}, {"source": "a1d", "target": "used,"}, {"source": "a1d", "target": "here"}, {"source": "a1d", "target": "would"}, {"source": "a1d", "target": "replaced"}, {"source": "a1d", "target": "conjunction"}, {"source": "a1d", "target": "hypotheses"}, {"source": "a1d", "target": "we"}, {"source": "a1d", "target": "call"}, {"source": "a1d", "target": "simpler"}, {"source": "a1d", "target": "version"}, {"source": "a1d", "target": "no"}, {"source": "a1d", "target": "common"}, {"source": "a1d", "target": "antecedent"}, {"source": "a1d", "target": "suffix"}, {"source": "a1d", "target": "label"}, {"source": "a1d", "target": "compare"}, {"source": "a1d", "target": "would"}, {"source": "a1d", "target": "form"}, {"source": "a1d", "target": "no"}, {"source": "a1d", "target": "hypotheses,"}, {"source": "a1d", "target": "case"}, {"source": "a1d", "target": "form"}, {"source": "a1d", "target": "would"}, {"source": "a1d", "target": "original"}, {"source": "a1d", "target": "axiom"}, {"source": "a1d", "target": "we"}, {"source": "a1d", "target": "usually"}, {"source": "a1d", "target": "show"}, {"source": "a1d", "target": "form"}, {"source": "a1d", "target": "without"}, {"source": "a1d", "target": "suffix"}, {"source": "a1d", "target": "label"}, {"source": "a1d", "target": "eg"}, {"source": "a1d", "target": "when"}, {"source": "a1d", "target": "inference"}, {"source": "a1d", "target": "eliminating"}, {"source": "a1d", "target": "\"is"}, {"source": "a1d", "target": "set\""}, {"source": "a1d", "target": "hypothesis,"}, {"source": "a1d", "target": "we"}, {"source": "a1d", "target": "sometimes"}, {"source": "a1d", "target": "suffix"}, {"source": "a1d", "target": "form"}, {"source": "a1d", "target": "allan,"}, {"source": "a2d", "target": "embedded"}, {"source": "a2d", "target": "antecedent"}, {"source": "a1ii", "target": "add"}, {"source": "a1ii", "target": "antecedents"}, {"source": "a1ii", "target": "wff"}, {"source": "a1ii", "target": "see"}, {"source": "a1ii", "target": "shorter"}, {"source": "a1ii", "target": "using"}, {"source": "a1ii", "target": "one"}, {"source": "a1ii", "target": "more"}, {"source": "a1ii", "target": "axiom"}, {"source": "a1ii", "target": "hankins,"}, {"source": "a1iiALT", "target": "alternate"}, {"source": "a1iiALT", "target": "shorter"}, {"source": "a1iiALT", "target": "but"}, {"source": "a1iiALT", "target": "uses"}, {"source": "a1iiALT", "target": "one"}, {"source": "a1iiALT", "target": "more"}, {"source": "a1iiALT", "target": "axiom"}, {"source": "a1iiALT", "target": "wolf"}, {"source": "a1iiALT", "target": "lammen,"}, {"source": "sylcom", "target": "syllogism"}, {"source": "sylcom", "target": "inference"}, {"source": "sylcom", "target": "commutation"}, {"source": "sylcom", "target": "antecedents"}, {"source": "sylcom", "target": "o'cat,"}, {"source": "sylcom", "target": "allan,"}, {"source": "syl5com", "target": "syllogism"}, {"source": "syl5com", "target": "inference"}, {"source": "syl5com", "target": "commuted"}, {"source": "syl5com", "target": "antecedents"}, {"source": "com12", "target": "inference"}, {"source": "com12", "target": "swaps"}, {"source": "com12", "target": "commutes"}, {"source": "com12", "target": "antecedents"}, {"source": "com12", "target": "implication"}, {"source": "com12", "target": "wolf"}, {"source": "com12", "target": "lammen,"}, {"source": "syl5", "target": "syllogism"}, {"source": "syl5", "target": "rule"}, {"source": "syl5", "target": "inference"}, {"source": "syl5", "target": "first"}, {"source": "syl5", "target": "premise"}, {"source": "syl5", "target": "used"}, {"source": "syl5", "target": "replace"}, {"source": "syl5", "target": "second"}, {"source": "syl5", "target": "antecedent"}, {"source": "syl5", "target": "second"}, {"source": "syl5", "target": "premise"}, {"source": "syl5", "target": "wolf"}, {"source": "syl5", "target": "lammen,"}, {"source": "syl6", "target": "syllogism"}, {"source": "syl6", "target": "rule"}, {"source": "syl6", "target": "inference"}, {"source": "syl6", "target": "second"}, {"source": "syl6", "target": "premise"}, {"source": "syl6", "target": "used"}, {"source": "syl6", "target": "replace"}, {"source": "syl6", "target": "consequent"}, {"source": "syl6", "target": "first"}, {"source": "syl6", "target": "premise"}, {"source": "syl6", "target": "wolf"}, {"source": "syl6", "target": "lammen,"}, {"source": "syl56", "target": "combine"}, {"source": "syl6com", "target": "syllogism"}, {"source": "syl6com", "target": "inference"}, {"source": "syl6com", "target": "commuted"}, {"source": "syl6com", "target": "antecedents"}, {"source": "mpcom", "target": "modus"}, {"source": "mpcom", "target": "ponens"}, {"source": "mpcom", "target": "inference"}, {"source": "mpcom", "target": "commutation"}, {"source": "mpcom", "target": "antecedents"}, {"source": "syli", "target": "syllogism"}, {"source": "syli", "target": "inference"}, {"source": "syli", "target": "common"}, {"source": "syli", "target": "nested"}, {"source": "syli", "target": "antecedent"}, {"source": "syl2im", "target": "replace"}, {"source": "syl2im", "target": "antecedents"}, {"source": "syl2im", "target": "version"}, {"source": "syl2im", "target": "wolf"}, {"source": "syl2im", "target": "lammen,"}, {"source": "pm2.27", "target": "theorem,"}, {"source": "pm2.27", "target": "called"}, {"source": "pm2.27", "target": "can"}, {"source": "pm2.27", "target": "thought"}, {"source": "pm2.27", "target": "closed"}, {"source": "pm2.27", "target": "form"}, {"source": "pm2.27", "target": "modus"}, {"source": "pm2.27", "target": "ponens"}, {"source": "pm2.27", "target": "[whiteheadrussell]"}, {"source": "pm2.27", "target": "104"}, {"source": "mpdd", "target": "nested"}, {"source": "mpdd", "target": "modus"}, {"source": "mpdd", "target": "ponens"}, {"source": "mpid", "target": "nested"}, {"source": "mpid", "target": "modus"}, {"source": "mpid", "target": "ponens"}, {"source": "mpdi", "target": "nested"}, {"source": "mpdi", "target": "modus"}, {"source": "mpdi", "target": "ponens"}, {"source": "mpdi", "target": "o'cat,"}, {"source": "mpii", "target": "doubly"}, {"source": "mpii", "target": "nested"}, {"source": "mpii", "target": "modus"}, {"source": "mpii", "target": "ponens"}, {"source": "mpii", "target": "inference"}, {"source": "mpii", "target": "wolf"}, {"source": "mpii", "target": "lammen,"}, {"source": "syld", "target": "syllogism"}, {"source": "syld", "target": "o'cat,"}, {"source": "syld", "target": "wolf"}, {"source": "syld", "target": "lammen,"}, {"source": "syld", "target": "has"}, {"source": "syld", "target": "same"}, {"source": "syld", "target": "form"}, {"source": "syld", "target": "syl"}, {"source": "syld", "target": "added"}, {"source": "syld", "target": "each"}, {"source": "syld", "target": "hypothesis"}, {"source": "syld", "target": "conclusion"}, {"source": "syld", "target": "when"}, {"source": "syld", "target": "all"}, {"source": "syld", "target": "theorems"}, {"source": "syld", "target": "referenced"}, {"source": "syld", "target": "we"}, {"source": "syld", "target": "can"}, {"source": "syld", "target": "replace"}, {"source": "syld", "target": "hypothesis"}, {"source": "syld", "target": "proof,"}, {"source": "syld", "target": "allowing"}, {"source": "syld", "target": "hypothesis"}, {"source": "syld", "target": "eliminated"}, {"source": "syld", "target": "become"}, {"source": "syld", "target": "antecedent"}, {"source": "syld", "target": "propositional"}, {"source": "syld", "target": "calculus,"}, {"source": "syld", "target": "eg"}, {"source": "syld", "target": "3"}, {"source": "syld", "target": "[margaris]"}, {"source": "syld", "target": "tells"}, {"source": "syld", "target": "us"}, {"source": "syld", "target": "always"}, {"source": "syld", "target": "possible"}, {"source": "mp2d", "target": "double"}, {"source": "mp2d", "target": "modus"}, {"source": "mp2d", "target": "ponens"}, {"source": "mp2d", "target": "wolf"}, {"source": "mp2d", "target": "lammen,"}, {"source": "a1dd", "target": "introducing"}, {"source": "a1dd", "target": "nested"}, {"source": "a1dd", "target": "embedded"}, {"source": "a1dd", "target": "antecedent"}, {"source": "a1dd", "target": "o'cat,"}, {"source": "pm2.43i", "target": "inference"}, {"source": "pm2.43i", "target": "absorbing"}, {"source": "pm2.43i", "target": "redundant"}, {"source": "pm2.43i", "target": "antecedent"}, {"source": "pm2.43i", "target": "o'cat,"}, {"source": "pm2.43d", "target": "absorbing"}, {"source": "pm2.43d", "target": "redundant"}, {"source": "pm2.43d", "target": "antecedent"}, {"source": "pm2.43d", "target": "o'cat,"}, {"source": "pm2.43a", "target": "inference"}, {"source": "pm2.43a", "target": "absorbing"}, {"source": "pm2.43a", "target": "redundant"}, {"source": "pm2.43a", "target": "antecedent"}, {"source": "pm2.43a", "target": "o'cat,"}, {"source": "pm2.43b", "target": "inference"}, {"source": "pm2.43b", "target": "absorbing"}, {"source": "pm2.43b", "target": "redundant"}, {"source": "pm2.43b", "target": "antecedent"}, {"source": "pm2.43", "target": "absorption"}, {"source": "pm2.43", "target": "redundant"}, {"source": "pm2.43", "target": "antecedent"}, {"source": "pm2.43", "target": "also"}, {"source": "pm2.43", "target": "called"}, {"source": "pm2.43", "target": "axiom"}, {"source": "pm2.43", "target": "[whiteheadrussell]"}, {"source": "pm2.43", "target": "106"}, {"source": "pm2.43", "target": "o'cat,"}, {"source": "imim2d", "target": "adding"}, {"source": "imim2d", "target": "nested"}, {"source": "imim2d", "target": "antecedents"}, {"source": "imim2", "target": "closed"}, {"source": "imim2", "target": "form"}, {"source": "imim2", "target": "syllogism"}, {"source": "imim2", "target": "see"}, {"source": "imim2", "target": "syl"}, {"source": "imim2", "target": "[whiteheadrussell]"}, {"source": "imim2", "target": "wolf"}, {"source": "imim2", "target": "lammen,"}, {"source": "embantd", "target": "embedding"}, {"source": "embantd", "target": "antecedent"}, {"source": "embantd", "target": "wolf"}, {"source": "embantd", "target": "lammen,"}, {"source": "3syld", "target": "triple"}, {"source": "3syld", "target": "syllogism"}, {"source": "3syld", "target": "hankins,"}, {"source": "sylsyld", "target": "virtual"}, {"source": "sylsyld", "target": "rule"}, {"source": "sylsyld", "target": "without"}, {"source": "sylsyld", "target": "virtual"}, {"source": "sylsyld", "target": "symbols"}, {"source": "sylsyld", "target": "alan"}, {"source": "sylsyld", "target": "sare,"}, {"source": "imim12i", "target": "inference"}, {"source": "imim12i", "target": "joining"}, {"source": "imim12i", "target": "implications"}, {"source": "imim12i", "target": "o'cat,"}, {"source": "imim1i", "target": "inference"}, {"source": "imim1i", "target": "adding"}, {"source": "imim1i", "target": "common"}, {"source": "imim1i", "target": "consequents"}, {"source": "imim1i", "target": "original"}, {"source": "imim1i", "target": "antecedent"}, {"source": "imim1i", "target": "consequent"}, {"source": "imim1i", "target": "wolf"}, {"source": "imim1i", "target": "lammen,"}, {"source": "imim3i", "target": "inference"}, {"source": "imim3i", "target": "adding"}, {"source": "imim3i", "target": "three"}, {"source": "imim3i", "target": "nested"}, {"source": "imim3i", "target": "antecedents"}, {"source": "sylc", "target": "syllogism"}, {"source": "sylc", "target": "inference"}, {"source": "sylc", "target": "combined"}, {"source": "sylc", "target": "contraction"}, {"source": "syl3c", "target": "syllogism"}, {"source": "syl3c", "target": "inference"}, {"source": "syl3c", "target": "combined"}, {"source": "syl3c", "target": "contraction"}, {"source": "syl3c", "target": "without"}, {"source": "syl3c", "target": "virtual"}, {"source": "syl3c", "target": "deductions"}, {"source": "syl3c", "target": "alan"}, {"source": "syl3c", "target": "sare,"}, {"source": "syl6mpi", "target": "without"}, {"source": "syl6mpi", "target": "virtual"}, {"source": "syl6mpi", "target": "deductions"}, {"source": "syl6mpi", "target": "alan"}, {"source": "syl6mpi", "target": "sare,"}, {"source": "syl6mpi", "target": "wolf"}, {"source": "syl6mpi", "target": "lammen,"}, {"source": "mpsyl", "target": "modus"}, {"source": "mpsyl", "target": "ponens"}, {"source": "mpsyl", "target": "combined"}, {"source": "mpsyl", "target": "syllogism"}, {"source": "mpsyl", "target": "inference"}, {"source": "mpsyl", "target": "alan"}, {"source": "mpsyl", "target": "sare,"}, {"source": "syl6c", "target": "inference"}, {"source": "syl6c", "target": "combining"}, {"source": "syl6c", "target": "contraction"}, {"source": "syl6c", "target": "alan"}, {"source": "syl6c", "target": "sare,"}, {"source": "syldd", "target": "nested"}, {"source": "syldd", "target": "syllogism"}, {"source": "syldd", "target": "wolf"}, {"source": "syldd", "target": "lammen,"}, {"source": "syl5d", "target": "nested"}, {"source": "syl5d", "target": "syllogism"}, {"source": "syl5d", "target": "o'cat,"}, {"source": "syl7", "target": "syllogism"}, {"source": "syl7", "target": "rule"}, {"source": "syl7", "target": "inference"}, {"source": "syl7", "target": "first"}, {"source": "syl7", "target": "premise"}, {"source": "syl7", "target": "used"}, {"source": "syl7", "target": "replace"}, {"source": "syl7", "target": "third"}, {"source": "syl7", "target": "antecedent"}, {"source": "syl7", "target": "second"}, {"source": "syl7", "target": "premise"}, {"source": "syl7", "target": "wolf"}, {"source": "syl7", "target": "lammen,"}, {"source": "syl6d", "target": "nested"}, {"source": "syl6d", "target": "syllogism"}, {"source": "syl6d", "target": "o'cat,"}, {"source": "syl8", "target": "syllogism"}, {"source": "syl8", "target": "rule"}, {"source": "syl8", "target": "inference"}, {"source": "syl8", "target": "second"}, {"source": "syl8", "target": "premise"}, {"source": "syl8", "target": "used"}, {"source": "syl8", "target": "replace"}, {"source": "syl8", "target": "consequent"}, {"source": "syl8", "target": "first"}, {"source": "syl8", "target": "premise"}, {"source": "syl8", "target": "wolf"}, {"source": "syl8", "target": "lammen,"}, {"source": "syl9", "target": "nested"}, {"source": "syl9", "target": "syllogism"}, {"source": "syl9", "target": "inference"}, {"source": "syl9", "target": "different"}, {"source": "syl9", "target": "antecedents"}, {"source": "syl9r", "target": "nested"}, {"source": "syl9r", "target": "syllogism"}, {"source": "syl9r", "target": "inference"}, {"source": "syl9r", "target": "different"}, {"source": "syl9r", "target": "antecedents"}, {"source": "imim12d", "target": "combining"}, {"source": "imim12d", "target": "antecedents"}, {"source": "imim12d", "target": "consequents"}, {"source": "imim12d", "target": "o'cat,"}, {"source": "imim1d", "target": "adding"}, {"source": "imim1d", "target": "nested"}, {"source": "imim1d", "target": "consequents"}, {"source": "imim1d", "target": "wolf"}, {"source": "imim1d", "target": "lammen,"}, {"source": "imim1", "target": "closed"}, {"source": "imim1", "target": "form"}, {"source": "imim1", "target": "syllogism"}, {"source": "imim1", "target": "see"}, {"source": "imim1", "target": "syl"}, {"source": "imim1", "target": "[whiteheadrussell]"}, {"source": "imim1", "target": "wolf"}, {"source": "imim1", "target": "lammen,"}, {"source": "pm2.83", "target": "[whiteheadrussell]"}, {"source": "pm2.83", "target": "108"}, {"source": "com23", "target": "commutation"}, {"source": "com23", "target": "antecedents"}, {"source": "com23", "target": "swap"}, {"source": "com23", "target": "2nd"}, {"source": "com23", "target": "3rd"}, {"source": "com23", "target": "wolf"}, {"source": "com23", "target": "lammen,"}, {"source": "com3r", "target": "commutation"}, {"source": "com3r", "target": "antecedents"}, {"source": "com3r", "target": "rotate"}, {"source": "com3r", "target": "right"}, {"source": "com13", "target": "commutation"}, {"source": "com13", "target": "antecedents"}, {"source": "com13", "target": "swap"}, {"source": "com13", "target": "1st"}, {"source": "com13", "target": "3rd"}, {"source": "com13", "target": "wolf"}, {"source": "com13", "target": "lammen,"}, {"source": "com3l", "target": "commutation"}, {"source": "com3l", "target": "antecedents"}, {"source": "com3l", "target": "rotate"}, {"source": "com3l", "target": "left"}, {"source": "com3l", "target": "wolf"}, {"source": "com3l", "target": "lammen,"}, {"source": "pm2.04", "target": "swap"}, {"source": "pm2.04", "target": "antecedents"}, {"source": "pm2.04", "target": "[whiteheadrussell]"}, {"source": "pm2.04", "target": "wolf"}, {"source": "pm2.04", "target": "lammen,"}, {"source": "com34", "target": "commutation"}, {"source": "com34", "target": "antecedents"}, {"source": "com34", "target": "swap"}, {"source": "com34", "target": "3rd"}, {"source": "com34", "target": "4th"}, {"source": "com4l", "target": "commutation"}, {"source": "com4l", "target": "antecedents"}, {"source": "com4l", "target": "rotate"}, {"source": "com4l", "target": "left"}, {"source": "com4l", "target": "o'cat,"}, {"source": "com4t", "target": "commutation"}, {"source": "com4t", "target": "antecedents"}, {"source": "com4t", "target": "rotate"}, {"source": "com4t", "target": "twice"}, {"source": "com4r", "target": "commutation"}, {"source": "com4r", "target": "antecedents"}, {"source": "com4r", "target": "rotate"}, {"source": "com4r", "target": "right"}, {"source": "com24", "target": "commutation"}, {"source": "com24", "target": "antecedents"}, {"source": "com24", "target": "swap"}, {"source": "com24", "target": "2nd"}, {"source": "com24", "target": "4th"}, {"source": "com24", "target": "wolf"}, {"source": "com24", "target": "lammen,"}, {"source": "com14", "target": "commutation"}, {"source": "com14", "target": "antecedents"}, {"source": "com14", "target": "swap"}, {"source": "com14", "target": "1st"}, {"source": "com14", "target": "4th"}, {"source": "com14", "target": "wolf"}, {"source": "com14", "target": "lammen,"}, {"source": "com45", "target": "commutation"}, {"source": "com45", "target": "antecedents"}, {"source": "com45", "target": "swap"}, {"source": "com45", "target": "4th"}, {"source": "com45", "target": "5th"}, {"source": "com45", "target": "hankins,"}, {"source": "com35", "target": "commutation"}, {"source": "com35", "target": "antecedents"}, {"source": "com35", "target": "swap"}, {"source": "com35", "target": "3rd"}, {"source": "com35", "target": "5th"}, {"source": "com35", "target": "hankins,"}, {"source": "com25", "target": "commutation"}, {"source": "com25", "target": "antecedents"}, {"source": "com25", "target": "swap"}, {"source": "com25", "target": "2nd"}, {"source": "com25", "target": "5th"}, {"source": "com25", "target": "hankins,"}, {"source": "com5l", "target": "commutation"}, {"source": "com5l", "target": "antecedents"}, {"source": "com5l", "target": "rotate"}, {"source": "com5l", "target": "left"}, {"source": "com5l", "target": "hankins,"}, {"source": "com5l", "target": "wolf"}, {"source": "com5l", "target": "lammen,"}, {"source": "com15", "target": "commutation"}, {"source": "com15", "target": "antecedents"}, {"source": "com15", "target": "swap"}, {"source": "com15", "target": "1st"}, {"source": "com15", "target": "5th"}, {"source": "com15", "target": "hankins,"}, {"source": "com15", "target": "wolf"}, {"source": "com15", "target": "lammen,"}, {"source": "com52l", "target": "commutation"}, {"source": "com52l", "target": "antecedents"}, {"source": "com52l", "target": "rotate"}, {"source": "com52l", "target": "left"}, {"source": "com52l", "target": "twice"}, {"source": "com52l", "target": "hankins,"}, {"source": "com52r", "target": "commutation"}, {"source": "com52r", "target": "antecedents"}, {"source": "com52r", "target": "rotate"}, {"source": "com52r", "target": "right"}, {"source": "com52r", "target": "twice"}, {"source": "com52r", "target": "hankins,"}, {"source": "com5r", "target": "commutation"}, {"source": "com5r", "target": "antecedents"}, {"source": "com5r", "target": "rotate"}, {"source": "com5r", "target": "right"}, {"source": "com5r", "target": "wolf"}, {"source": "com5r", "target": "lammen,"}, {"source": "jarr", "target": "elimination"}, {"source": "jarr", "target": "nested"}, {"source": "jarr", "target": "antecedent"}, {"source": "jarr", "target": "kind"}, {"source": "jarr", "target": "reversal"}, {"source": "jarr", "target": "inference"}, {"source": "jarr", "target": "wolf"}, {"source": "jarr", "target": "lammen,"}, {"source": "pm2.86i", "target": "inference"}, {"source": "pm2.86i", "target": "based"}, {"source": "pm2.86i", "target": "wolf"}, {"source": "pm2.86i", "target": "lammen,"}, {"source": "pm2.86d", "target": "based"}, {"source": "pm2.86d", "target": "wolf"}, {"source": "pm2.86d", "target": "lammen,"}, {"source": "pm2.86", "target": "converse"}, {"source": "pm2.86", "target": "axiom"}, {"source": "pm2.86", "target": "[whiteheadrussell]"}, {"source": "pm2.86", "target": "108"}, {"source": "pm2.86", "target": "wolf"}, {"source": "pm2.86", "target": "lammen,"}, {"source": "loolin", "target": "linearity"}, {"source": "loolin", "target": "axiom"}, {"source": "loolin", "target": "logic"}, {"source": "loolin", "target": "lukasiewicz"}, {"source": "loolin", "target": "o'cat,"}, {"source": "loowoz", "target": "alternate"}, {"source": "loowoz", "target": "linearity"}, {"source": "loowoz", "target": "axiom"}, {"source": "loowoz", "target": "logic"}, {"source": "loowoz", "target": "due"}, {"source": "loowoz", "target": "mathematical"}, {"source": "loowoz", "target": "o'cat,"}, {"source": "con4d", "target": "derived"}, {"source": "con4d", "target": "axiom"}, {"source": "pm2.21d", "target": "contradiction"}, {"source": "pm2.21d", "target": "implies"}, {"source": "pm2.21d", "target": "anything"}, {"source": "pm2.21dd", "target": "contradiction"}, {"source": "pm2.21dd", "target": "implies"}, {"source": "pm2.21dd", "target": "anything"}, {"source": "pm2.21", "target": "wff"}, {"source": "pm2.21", "target": "anything"}, {"source": "pm2.21", "target": "true"}, {"source": "pm2.21", "target": "[whiteheadrussell]"}, {"source": "pm2.21", "target": "104"}, {"source": "pm2.21", "target": "also"}, {"source": "pm2.21", "target": "called"}, {"source": "pm2.21", "target": "wolf"}, {"source": "pm2.21", "target": "lammen,"}, {"source": "pm2.24", "target": "[whiteheadrussell]"}, {"source": "pm2.24", "target": "104"}, {"source": "pm2.18", "target": "contradiction"}, {"source": "pm2.18", "target": "[whiteheadrussell]"}, {"source": "pm2.18", "target": "103"}, {"source": "pm2.18", "target": "also"}, {"source": "pm2.18", "target": "called"}, {"source": "pm2.18d", "target": "based"}, {"source": "pm2.18d", "target": "fl,"}, {"source": "notnot2", "target": "converse"}, {"source": "notnot2", "target": "double"}, {"source": "notnot2", "target": "negation"}, {"source": "notnot2", "target": "[whiteheadrussell]"}, {"source": "notnot2", "target": "102"}, {"source": "notnot2", "target": "classical"}, {"source": "notnot2", "target": "logic"}, {"source": "notnot2", "target": "our"}, {"source": "notnot2", "target": "logic"}, {"source": "notnot2", "target": "always"}, {"source": "notnot2", "target": "true"}, {"source": "notnot2", "target": "intuitionistic"}, {"source": "notnot2", "target": "logic"}, {"source": "notnot2", "target": "always"}, {"source": "notnot2", "target": "true,"}, {"source": "notnot2", "target": "intuitionistic"}, {"source": "notnot2", "target": "logic,"}, {"source": "notnot2", "target": "when"}, {"source": "notnot2", "target": "true"}, {"source": "notnot2", "target": "some"}, {"source": "notnot2", "target": "then"}, {"source": "notnot2", "target": "david"}, {"source": "notnotrd", "target": "converting"}, {"source": "notnotrd", "target": "into"}, {"source": "notnotrd", "target": "original"}, {"source": "notnotrd", "target": "double"}, {"source": "notnotrd", "target": "negation"}, {"source": "notnotrd", "target": "rule"}, {"source": "notnotrd", "target": "translation"}, {"source": "notnotrd", "target": "natural"}, {"source": "notnotrd", "target": "rule"}, {"source": "notnotrd", "target": "_g"}, {"source": "notnotrd", "target": "ps"}, {"source": "notnotrd", "target": "=>"}, {"source": "notnotrd", "target": "_g"}, {"source": "notnotrd", "target": "ps"}, {"source": "notnotrd", "target": "see"}, {"source": "notnotrd", "target": "natded"}, {"source": "notnotrd", "target": "definition"}, {"source": "notnotrd", "target": "[pfenning]"}, {"source": "notnotrd", "target": "17"}, {"source": "notnotrd", "target": "rule"}, {"source": "notnotrd", "target": "valid"}, {"source": "notnotrd", "target": "classical"}, {"source": "notnotrd", "target": "logic"}, {"source": "notnotrd", "target": "which"}, {"source": "notnotrd", "target": "mpe"}, {"source": "notnotrd", "target": "but"}, {"source": "notnotrd", "target": "intuitionistic"}, {"source": "notnotrd", "target": "logic"}, {"source": "notnotri", "target": "inference"}, {"source": "notnotri", "target": "double"}, {"source": "notnotri", "target": "negation"}, {"source": "con2d", "target": "contraposition"}, {"source": "con2", "target": "contraposition"}, {"source": "con2", "target": "[whiteheadrussell]"}, {"source": "con2", "target": "wolf"}, {"source": "con2", "target": "lammen,"}, {"source": "mt2d", "target": "modus"}, {"source": "mt2d", "target": "tollens"}, {"source": "mt2i", "target": "modus"}, {"source": "mt2i", "target": "tollens"}, {"source": "mt2i", "target": "inference"}, {"source": "mt2i", "target": "wolf"}, {"source": "mt2i", "target": "lammen,"}, {"source": "nsyl3", "target": "negated"}, {"source": "nsyl3", "target": "syllogism"}, {"source": "nsyl3", "target": "inference"}, {"source": "con2i", "target": "contraposition"}, {"source": "con2i", "target": "inference"}, {"source": "con2i", "target": "o'cat,"}, {"source": "con2i", "target": "wolf"}, {"source": "con2i", "target": "lammen,"}, {"source": "nsyl", "target": "negated"}, {"source": "nsyl", "target": "syllogism"}, {"source": "nsyl", "target": "inference"}, {"source": "nsyl", "target": "wolf"}, {"source": "nsyl", "target": "lammen,"}, {"source": "notnot1", "target": "converse"}, {"source": "notnot1", "target": "double"}, {"source": "notnot1", "target": "negation"}, {"source": "notnot1", "target": "[whiteheadrussell]"}, {"source": "notnot1", "target": "101"}, {"source": "notnot1", "target": "wolf"}, {"source": "notnot1", "target": "lammen,"}, {"source": "notnoti", "target": "infer"}, {"source": "notnoti", "target": "double"}, {"source": "notnoti", "target": "negation"}, {"source": "con1d", "target": "contraposition"}, {"source": "mt3d", "target": "modus"}, {"source": "mt3d", "target": "tollens"}, {"source": "mt3i", "target": "modus"}, {"source": "mt3i", "target": "tollens"}, {"source": "mt3i", "target": "inference"}, {"source": "mt3i", "target": "wolf"}, {"source": "mt3i", "target": "lammen,"}, {"source": "nsyl2", "target": "negated"}, {"source": "nsyl2", "target": "syllogism"}, {"source": "nsyl2", "target": "inference"}, {"source": "con1", "target": "contraposition"}, {"source": "con1", "target": "[whiteheadrussell]"}, {"source": "con1", "target": "102"}, {"source": "con1", "target": "wolf"}, {"source": "con1", "target": "lammen,"}, {"source": "con1i", "target": "contraposition"}, {"source": "con1i", "target": "inference"}, {"source": "con1i", "target": "o'cat,"}, {"source": "con1i", "target": "wolf"}, {"source": "con1i", "target": "lammen,"}, {"source": "con4i", "target": "inference"}, {"source": "con4i", "target": "rule"}, {"source": "con4i", "target": "derived"}, {"source": "con4i", "target": "axiom"}, {"source": "con4i", "target": "wolf"}, {"source": "con4i", "target": "lammen,"}, {"source": "pm2.21i", "target": "contradiction"}, {"source": "pm2.21i", "target": "implies"}, {"source": "pm2.21i", "target": "anything"}, {"source": "pm2.21i", "target": "inference"}, {"source": "pm2.24ii", "target": "contradiction"}, {"source": "pm2.24ii", "target": "implies"}, {"source": "pm2.24ii", "target": "anything"}, {"source": "pm2.24ii", "target": "inference"}, {"source": "con3d", "target": "contraposition"}, {"source": "con3", "target": "contraposition"}, {"source": "con3", "target": "[whiteheadrussell]"}, {"source": "con3", "target": "103"}, {"source": "con3", "target": "wolf"}, {"source": "con3", "target": "lammen,"}, {"source": "con3i", "target": "contraposition"}, {"source": "con3i", "target": "inference"}, {"source": "con3i", "target": "wolf"}, {"source": "con3i", "target": "lammen,"}, {"source": "con3rr3", "target": "rotate"}, {"source": "con3rr3", "target": "through"}, {"source": "con3rr3", "target": "consequent"}, {"source": "con3rr3", "target": "right"}, {"source": "con3rr3", "target": "wolf"}, {"source": "con3rr3", "target": "lammen,"}, {"source": "mt4", "target": "rule"}, {"source": "mt4", "target": "modus"}, {"source": "mt4", "target": "tollens"}, {"source": "mt4", "target": "wolf"}, {"source": "mt4", "target": "lammen,"}, {"source": "mt4d", "target": "modus"}, {"source": "mt4d", "target": "tollens"}, {"source": "mt4i", "target": "modus"}, {"source": "mt4i", "target": "tollens"}, {"source": "mt4i", "target": "inference"}, {"source": "mt4i", "target": "wolf"}, {"source": "mt4i", "target": "lammen,"}, {"source": "nsyld", "target": "negated"}, {"source": "nsyld", "target": "syllogism"}, {"source": "nsyli", "target": "negated"}, {"source": "nsyli", "target": "syllogism"}, {"source": "nsyli", "target": "inference"}, {"source": "nsyl4", "target": "negated"}, {"source": "nsyl4", "target": "syllogism"}, {"source": "nsyl4", "target": "inference"}, {"source": "pm2.24d", "target": "version"}, {"source": "pm2.24i", "target": "inference"}, {"source": "pm2.24i", "target": "version"}, {"source": "pm3.2im", "target": "[whiteheadrussell]"}, {"source": "pm3.2im", "target": "expressed"}, {"source": "pm3.2im", "target": "primitive"}, {"source": "pm3.2im", "target": "connectives"}, {"source": "mth8", "target": "8"}, {"source": "mth8", "target": "[margaris]"}, {"source": "jc", "target": "inference"}, {"source": "jc", "target": "joining"}, {"source": "jc", "target": "consequents"}, {"source": "impi", "target": "importation"}, {"source": "impi", "target": "inference"}, {"source": "impi", "target": "wolf"}, {"source": "impi", "target": "lammen,"}, {"source": "expi", "target": "exportation"}, {"source": "expi", "target": "inference"}, {"source": "expi", "target": "o'cat,"}, {"source": "simprim", "target": "simplification"}, {"source": "simprim", "target": "similar"}, {"source": "simprim", "target": "[whiteheadrussell]"}, {"source": "simprim", "target": "112"}, {"source": "simprim", "target": "wolf"}, {"source": "simprim", "target": "lammen,"}, {"source": "simplim", "target": "simplification"}, {"source": "simplim", "target": "similar"}, {"source": "simplim", "target": "[whiteheadrussell]"}, {"source": "simplim", "target": "112"}, {"source": "simplim", "target": "wolf"}, {"source": "simplim", "target": "lammen,"}, {"source": "pm2.5", "target": "[whiteheadrussell]"}, {"source": "pm2.5", "target": "107"}, {"source": "pm2.5", "target": "wolf"}, {"source": "pm2.5", "target": "lammen,"}, {"source": "pm2.51", "target": "[whiteheadrussell]"}, {"source": "pm2.51", "target": "107"}, {"source": "pm2.521", "target": "[whiteheadrussell]"}, {"source": "pm2.521", "target": "107"}, {"source": "pm2.521", "target": "wolf"}, {"source": "pm2.521", "target": "lammen,"}, {"source": "pm2.52", "target": "[whiteheadrussell]"}, {"source": "pm2.52", "target": "107"}, {"source": "pm2.52", "target": "wolf"}, {"source": "pm2.52", "target": "lammen,"}, {"source": "expt", "target": "exportation"}, {"source": "expt", "target": "expressed"}, {"source": "expt", "target": "primitive"}, {"source": "expt", "target": "connectives"}, {"source": "impt", "target": "importation"}, {"source": "impt", "target": "expressed"}, {"source": "impt", "target": "primitive"}, {"source": "impt", "target": "connectives"}, {"source": "impt", "target": "wolf"}, {"source": "impt", "target": "lammen,"}, {"source": "pm2.61d", "target": "eliminating"}, {"source": "pm2.61d", "target": "antecedent"}, {"source": "pm2.61d", "target": "wolf"}, {"source": "pm2.61d", "target": "lammen,"}, {"source": "pm2.61d1", "target": "inference"}, {"source": "pm2.61d1", "target": "eliminating"}, {"source": "pm2.61d1", "target": "antecedent"}, {"source": "pm2.61d2", "target": "inference"}, {"source": "pm2.61d2", "target": "eliminating"}, {"source": "pm2.61d2", "target": "antecedent"}, {"source": "ja", "target": "inference"}, {"source": "ja", "target": "joining"}, {"source": "ja", "target": "antecedents"}, {"source": "ja", "target": "o'cat,"}, {"source": "jad", "target": "form"}, {"source": "jarl", "target": "elimination"}, {"source": "jarl", "target": "nested"}, {"source": "jarl", "target": "antecedent"}, {"source": "jarl", "target": "kind"}, {"source": "jarl", "target": "reversal"}, {"source": "jarl", "target": "inference"}, {"source": "jarl", "target": "wolf"}, {"source": "jarl", "target": "lammen,"}, {"source": "pm2.61i", "target": "inference"}, {"source": "pm2.61i", "target": "eliminating"}, {"source": "pm2.61i", "target": "antecedent"}, {"source": "pm2.61i", "target": "wolf"}, {"source": "pm2.61i", "target": "lammen,"}, {"source": "pm2.61ii", "target": "inference"}, {"source": "pm2.61ii", "target": "eliminating"}, {"source": "pm2.61ii", "target": "antecedents"}, {"source": "pm2.61nii", "target": "inference"}, {"source": "pm2.61nii", "target": "eliminating"}, {"source": "pm2.61nii", "target": "antecedents"}, {"source": "pm2.61nii", "target": "wolf"}, {"source": "pm2.61nii", "target": "lammen,"}, {"source": "pm2.61iii", "target": "inference"}, {"source": "pm2.61iii", "target": "eliminating"}, {"source": "pm2.61iii", "target": "three"}, {"source": "pm2.61iii", "target": "antecedents"}, {"source": "pm2.61iii", "target": "wolf"}, {"source": "pm2.61iii", "target": "lammen,"}, {"source": "pm2.01", "target": "[whiteheadrussell]"}, {"source": "pm2.01", "target": "o'cat,"}, {"source": "pm2.01", "target": "wolf"}, {"source": "pm2.01", "target": "lammen,"}, {"source": "pm2.01d", "target": "based"}, {"source": "pm2.01d", "target": "wolf"}, {"source": "pm2.01d", "target": "lammen,"}, {"source": "pm2.6", "target": "[whiteheadrussell]"}, {"source": "pm2.6", "target": "107"}, {"source": "pm2.61", "target": "[whiteheadrussell]"}, {"source": "pm2.61", "target": "107"}, {"source": "pm2.61", "target": "useful"}, {"source": "pm2.61", "target": "eliminating"}, {"source": "pm2.61", "target": "antecedent"}, {"source": "pm2.61", "target": "wolf"}, {"source": "pm2.61", "target": "lammen,"}, {"source": "pm2.65", "target": "[whiteheadrussell]"}, {"source": "pm2.65", "target": "107"}, {"source": "pm2.65", "target": "contradiction"}, {"source": "pm2.65", "target": "wolf"}, {"source": "pm2.65", "target": "lammen,"}, {"source": "pm2.65i", "target": "inference"}, {"source": "pm2.65i", "target": "rule"}, {"source": "pm2.65i", "target": "contradiction"}, {"source": "pm2.65i", "target": "wolf"}, {"source": "pm2.65i", "target": "lammen,"}, {"source": "pm2.65d", "target": "rule"}, {"source": "pm2.65d", "target": "contradiction"}, {"source": "pm2.65d", "target": "wolf"}, {"source": "pm2.65d", "target": "lammen,"}, {"source": "mto", "target": "rule"}, {"source": "mto", "target": "modus"}, {"source": "mto", "target": "tollens"}, {"source": "mto", "target": "rule"}, {"source": "mto", "target": "\"if"}, {"source": "mto", "target": "ps"}, {"source": "mto", "target": "true,"}, {"source": "mto", "target": "implies"}, {"source": "mto", "target": "ps"}, {"source": "mto", "target": "then"}, {"source": "mto", "target": "must"}, {"source": "mto", "target": "also"}, {"source": "mto", "target": "modus"}, {"source": "mto", "target": "tollens"}, {"source": "mto", "target": "short"}, {"source": "mto", "target": "latin"}, {"source": "mto", "target": "means"}, {"source": "mto", "target": "\"the"}, {"source": "mto", "target": "remark"}, {"source": "mto", "target": "39"}, {"source": "mto", "target": "also"}, {"source": "mto", "target": "called"}, {"source": "mto", "target": "consequent"}, {"source": "mto", "target": "modus"}, {"source": "mto", "target": "tollens"}, {"source": "mto", "target": "related"}, {"source": "mto", "target": "modus"}, {"source": "mto", "target": "ponens"}, {"source": "mto", "target": "note"}, {"source": "mto", "target": "rule"}, {"source": "mto", "target": "also"}, {"source": "mto", "target": "valid"}, {"source": "mto", "target": "intuitionistic"}, {"source": "mto", "target": "logic"}, {"source": "mto", "target": "wolf"}, {"source": "mto", "target": "lammen,"}, {"source": "mtod", "target": "modus"}, {"source": "mtod", "target": "tollens"}, {"source": "mtod", "target": "wolf"}, {"source": "mtod", "target": "lammen,"}, {"source": "mtoi", "target": "modus"}, {"source": "mtoi", "target": "tollens"}, {"source": "mtoi", "target": "inference"}, {"source": "mtoi", "target": "wolf"}, {"source": "mtoi", "target": "lammen,"}, {"source": "mt2", "target": "rule"}, {"source": "mt2", "target": "similar"}, {"source": "mt2", "target": "modus"}, {"source": "mt2", "target": "tollens"}, {"source": "mt2", "target": "wolf"}, {"source": "mt2", "target": "lammen,"}, {"source": "mt3", "target": "rule"}, {"source": "mt3", "target": "similar"}, {"source": "mt3", "target": "modus"}, {"source": "mt3", "target": "tollens"}, {"source": "mt3", "target": "wolf"}, {"source": "mt3", "target": "lammen,"}, {"source": "peirce", "target": "axiom"}, {"source": "peirce", "target": "between"}, {"source": "peirce", "target": "intuitionistic"}, {"source": "peirce", "target": "system"}, {"source": "peirce", "target": "propositional"}, {"source": "peirce", "target": "calculus"}, {"source": "peirce", "target": "classical"}, {"source": "peirce", "target": "system"}, {"source": "peirce", "target": "when"}, {"source": "peirce", "target": "axiom"}, {"source": "peirce", "target": "added"}, {"source": "peirce", "target": "intuitionistic"}, {"source": "peirce", "target": "system,"}, {"source": "peirce", "target": "system"}, {"source": "peirce", "target": "becomes"}, {"source": "peirce", "target": "equivalent"}, {"source": "peirce", "target": "our"}, {"source": "peirce", "target": "classical"}, {"source": "peirce", "target": "system"}, {"source": "peirce", "target": "through"}, {"source": "peirce", "target": "fact"}, {"source": "peirce", "target": "about"}, {"source": "peirce", "target": "requires"}, {"source": "peirce", "target": "even"}, {"source": "peirce", "target": "though"}, {"source": "peirce", "target": "result"}, {"source": "peirce", "target": "has"}, {"source": "peirce", "target": "no"}, {"source": "peirce", "target": "negation"}, {"source": "peirce", "target": "connectives"}, {"source": "peirce", "target": "wolf"}, {"source": "peirce", "target": "lammen,"}, {"source": "looinv", "target": "axiom"}, {"source": "looinv", "target": "logic"}, {"source": "looinv", "target": "lukasiewicz"}, {"source": "looinv", "target": "using"}, {"source": "looinv", "target": "we"}, {"source": "looinv", "target": "can"}, {"source": "looinv", "target": "see"}, {"source": "looinv", "target": "expresses"}, {"source": "looinv", "target": "[whiteheadrussell]"}, {"source": "looinv", "target": "108"}, {"source": "bijust", "target": "used"}, {"source": "bijust", "target": "definition"}, {"source": "bijust", "target": "biconditional"}, {"source": "bi1", "target": "property"}, {"source": "bi1", "target": "biconditional"}, {"source": "bi3", "target": "property"}, {"source": "bi3", "target": "biconditional"}, {"source": "impbii", "target": "infer"}, {"source": "impbii", "target": "equivalence"}, {"source": "impbii", "target": "implication"}, {"source": "impbii", "target": "converse"}, {"source": "impbidd", "target": "deduce"}, {"source": "impbidd", "target": "equivalence"}, {"source": "impbidd", "target": "implications"}, {"source": "impbidd", "target": "rodolfo"}, {"source": "impbidd", "target": "medina,"}, {"source": "impbid21d", "target": "deduce"}, {"source": "impbid21d", "target": "equivalence"}, {"source": "impbid21d", "target": "implications"}, {"source": "impbid21d", "target": "wolf"}, {"source": "impbid21d", "target": "lammen,"}, {"source": "impbid", "target": "deduce"}, {"source": "impbid", "target": "equivalence"}, {"source": "impbid", "target": "implications"}, {"source": "impbid", "target": "wolf"}, {"source": "impbid", "target": "lammen,"}, {"source": "dfbi1", "target": "relate"}, {"source": "dfbi1", "target": "biconditional"}, {"source": "dfbi1", "target": "primitive"}, {"source": "dfbi1", "target": "connectives"}, {"source": "dfbi1", "target": "see"}, {"source": "dfbi1", "target": "version"}, {"source": "dfbi1", "target": "proved"}, {"source": "dfbi1", "target": "directly"}, {"source": "dfbi1", "target": "axioms"}, {"source": "dfbi1gb", "target": "has"}, {"source": "dfbi1gb", "target": "several"}, {"source": "dfbi1gb", "target": "properties"}, {"source": "dfbi1gb", "target": "has"}, {"source": "dfbi1gb", "target": "only"}, {"source": "dfbi1gb", "target": "17"}, {"source": "dfbi1gb", "target": "steps"}, {"source": "dfbi1gb", "target": "directly"}, {"source": "dfbi1gb", "target": "axioms"}, {"source": "dfbi1gb", "target": "compared"}, {"source": "dfbi1gb", "target": "over"}, {"source": "dfbi1gb", "target": "steps"}, {"source": "dfbi1gb", "target": "were"}, {"source": "dfbi1gb", "target": "expanded"}, {"source": "dfbi1gb", "target": "into"}, {"source": "dfbi1gb", "target": "axioms"}, {"source": "dfbi1gb", "target": "step"}, {"source": "dfbi1gb", "target": "2"}, {"source": "dfbi1gb", "target": "only"}, {"source": "dfbi1gb", "target": "property"}, {"source": "dfbi1gb", "target": "any"}, {"source": "dfbi1gb", "target": "axiom"}, {"source": "dfbi1gb", "target": "could"}, {"source": "dfbi1gb", "target": "used"}, {"source": "dfbi1gb", "target": "might"}, {"source": "dfbi1gb", "target": "some"}, {"source": "dfbi1gb", "target": "sense"}, {"source": "dfbi1gb", "target": "but"}, {"source": "dfbi1gb", "target": "fact"}, {"source": "dfbi1gb", "target": "no"}, {"source": "dfbi1gb", "target": "shorter"}, {"source": "dfbi1gb", "target": "steps"}, {"source": "dfbi1gb", "target": "how"}, {"source": "dfbi1gb", "target": "intermediate"}, {"source": "dfbi1gb", "target": "steps"}, {"source": "dfbi1gb", "target": "can"}, {"source": "dfbi1gb", "target": "size"}, {"source": "dfbi1gb", "target": "even"}, {"source": "dfbi1gb", "target": "short"}, {"source": "dfbi1gb", "target": "proofs"}, {"source": "dfbi1gb", "target": "only"}, {"source": "dfbi1gb", "target": "17"}, {"source": "dfbi1gb", "target": "notation,"}, {"source": "dfbi1gb", "target": "but"}, {"source": "dfbi1gb", "target": "generated"}, {"source": "dfbi1gb", "target": "page"}, {"source": "dfbi1gb", "target": "over"}, {"source": "dfbi1gb", "target": "intermediate"}, {"source": "dfbi1gb", "target": "steps"}, {"source": "dfbi1gb", "target": "other"}, {"source": "dfbi1gb", "target": "there"}, {"source": "dfbi1gb", "target": "were"}, {"source": "dfbi1gb", "target": "would"}, {"source": "dfbi1gb", "target": "intermediate"}, {"source": "dfbi1gb", "target": "steps"}, {"source": "dfbi1gb", "target": "demonstrate"}, {"source": "dfbi1gb", "target": "using"}, {"source": "dfbi1gb", "target": "many"}, {"source": "dfbi1gb", "target": "intermediate"}, {"source": "dfbi1gb", "target": "theorems,"}, {"source": "dfbi1gb", "target": "since"}, {"source": "dfbi1gb", "target": "each"}, {"source": "dfbi1gb", "target": "easier"}, {"source": "biimpi", "target": "infer"}, {"source": "biimpi", "target": "implication"}, {"source": "biimpi", "target": "logical"}, {"source": "biimpi", "target": "equivalence"}, {"source": "sylbi", "target": "mixed"}, {"source": "sylbi", "target": "syllogism"}, {"source": "sylbi", "target": "inference"}, {"source": "sylbi", "target": "biconditional"}, {"source": "sylbi", "target": "implication"}, {"source": "sylbi", "target": "useful"}, {"source": "sylbi", "target": "substituting"}, {"source": "sylbi", "target": "antecedent"}, {"source": "sylbi", "target": "definition"}, {"source": "sylib", "target": "mixed"}, {"source": "sylib", "target": "syllogism"}, {"source": "sylib", "target": "inference"}, {"source": "sylib", "target": "implication"}, {"source": "sylib", "target": "biconditional"}, {"source": "bi2", "target": "property"}, {"source": "bi2", "target": "biconditional"}, {"source": "bi2", "target": "wolf"}, {"source": "bi2", "target": "lammen,"}, {"source": "bicom1", "target": "commutative"}, {"source": "bicom1", "target": "equivalence"}, {"source": "bicom1", "target": "wolf"}, {"source": "bicom1", "target": "lammen,"}, {"source": "bicom", "target": "commutative"}, {"source": "bicom", "target": "equivalence"}, {"source": "bicom", "target": "[whiteheadrussell]"}, {"source": "bicom", "target": "117"}, {"source": "bicomd", "target": "commute"}, {"source": "bicomd", "target": "sides"}, {"source": "bicomd", "target": "biconditional"}, {"source": "bicomi", "target": "inference"}, {"source": "bicomi", "target": "commutative"}, {"source": "bicomi", "target": "logical"}, {"source": "bicomi", "target": "equivalence"}, {"source": "impbid1", "target": "infer"}, {"source": "impbid1", "target": "equivalence"}, {"source": "impbid1", "target": "implications"}, {"source": "impbid2", "target": "infer"}, {"source": "impbid2", "target": "equivalence"}, {"source": "impbid2", "target": "implications"}, {"source": "impbid2", "target": "wolf"}, {"source": "impbid2", "target": "lammen,"}, {"source": "impcon4bid", "target": "variation"}, {"source": "impcon4bid", "target": "contraposition"}, {"source": "impcon4bid", "target": "hankins,"}, {"source": "biimpri", "target": "infer"}, {"source": "biimpri", "target": "converse"}, {"source": "biimpri", "target": "implication"}, {"source": "biimpri", "target": "logical"}, {"source": "biimpri", "target": "equivalence"}, {"source": "biimpri", "target": "wolf"}, {"source": "biimpri", "target": "lammen,"}, {"source": "biimpd", "target": "deduce"}, {"source": "biimpd", "target": "implication"}, {"source": "biimpd", "target": "logical"}, {"source": "biimpd", "target": "equivalence"}, {"source": "mpbi", "target": "inference"}, {"source": "mpbi", "target": "biconditional,"}, {"source": "mpbi", "target": "related"}, {"source": "mpbi", "target": "modus"}, {"source": "mpbi", "target": "ponens"}, {"source": "mpbir", "target": "inference"}, {"source": "mpbir", "target": "biconditional,"}, {"source": "mpbir", "target": "related"}, {"source": "mpbir", "target": "modus"}, {"source": "mpbir", "target": "ponens"}, {"source": "mpbid", "target": "biconditional,"}, {"source": "mpbid", "target": "related"}, {"source": "mpbid", "target": "modus"}, {"source": "mpbid", "target": "ponens"}, {"source": "mpbii", "target": "inference"}, {"source": "mpbii", "target": "nested"}, {"source": "mpbii", "target": "biconditional,"}, {"source": "mpbii", "target": "related"}, {"source": "mpbii", "target": "modus"}, {"source": "mpbii", "target": "ponens"}, {"source": "mpbii", "target": "wolf"}, {"source": "mpbii", "target": "lammen,"}, {"source": "sylibr", "target": "mixed"}, {"source": "sylibr", "target": "syllogism"}, {"source": "sylibr", "target": "inference"}, {"source": "sylibr", "target": "implication"}, {"source": "sylibr", "target": "biconditional"}, {"source": "sylibr", "target": "useful"}, {"source": "sylibr", "target": "substituting"}, {"source": "sylibr", "target": "consequent"}, {"source": "sylibr", "target": "definition"}, {"source": "sylbir", "target": "mixed"}, {"source": "sylbir", "target": "syllogism"}, {"source": "sylbir", "target": "inference"}, {"source": "sylbir", "target": "biconditional"}, {"source": "sylbir", "target": "implication"}, {"source": "sylibd", "target": "syllogism"}, {"source": "sylbid", "target": "syllogism"}, {"source": "mpbidi", "target": "biconditional,"}, {"source": "mpbidi", "target": "related"}, {"source": "mpbidi", "target": "modus"}, {"source": "mpbidi", "target": "ponens"}, {"source": "syl5bi", "target": "mixed"}, {"source": "syl5bi", "target": "syllogism"}, {"source": "syl5bi", "target": "inference"}, {"source": "syl5bi", "target": "nested"}, {"source": "syl5bi", "target": "implication"}, {"source": "syl5bi", "target": "biconditional"}, {"source": "syl5bi", "target": "useful"}, {"source": "syl5bi", "target": "substituting"}, {"source": "syl5bi", "target": "embedded"}, {"source": "syl5bi", "target": "antecedent"}, {"source": "syl5bi", "target": "definition"}, {"source": "syl5bir", "target": "mixed"}, {"source": "syl5bir", "target": "syllogism"}, {"source": "syl5bir", "target": "inference"}, {"source": "syl5bir", "target": "nested"}, {"source": "syl5bir", "target": "implication"}, {"source": "syl5bir", "target": "biconditional"}, {"source": "syl5ib", "target": "mixed"}, {"source": "syl5ib", "target": "syllogism"}, {"source": "syl5ib", "target": "inference"}, {"source": "syl5ibcom", "target": "mixed"}, {"source": "syl5ibcom", "target": "syllogism"}, {"source": "syl5ibcom", "target": "inference"}, {"source": "syl5ibr", "target": "mixed"}, {"source": "syl5ibr", "target": "syllogism"}, {"source": "syl5ibr", "target": "inference"}, {"source": "syl5ibrcom", "target": "mixed"}, {"source": "syl5ibrcom", "target": "syllogism"}, {"source": "syl5ibrcom", "target": "inference"}, {"source": "biimprd", "target": "deduce"}, {"source": "biimprd", "target": "converse"}, {"source": "biimprd", "target": "implication"}, {"source": "biimprd", "target": "logical"}, {"source": "biimprd", "target": "equivalence"}, {"source": "biimprd", "target": "wolf"}, {"source": "biimprd", "target": "lammen,"}, {"source": "biimpcd", "target": "deduce"}, {"source": "biimpcd", "target": "commuted"}, {"source": "biimpcd", "target": "implication"}, {"source": "biimpcd", "target": "logical"}, {"source": "biimpcd", "target": "equivalence"}, {"source": "biimpcd", "target": "wolf"}, {"source": "biimpcd", "target": "lammen,"}, {"source": "biimprcd", "target": "deduce"}, {"source": "biimprcd", "target": "converse"}, {"source": "biimprcd", "target": "commuted"}, {"source": "biimprcd", "target": "implication"}, {"source": "biimprcd", "target": "logical"}, {"source": "biimprcd", "target": "equivalence"}, {"source": "biimprcd", "target": "wolf"}, {"source": "biimprcd", "target": "lammen,"}, {"source": "syl6ib", "target": "mixed"}, {"source": "syl6ib", "target": "syllogism"}, {"source": "syl6ib", "target": "inference"}, {"source": "syl6ib", "target": "nested"}, {"source": "syl6ib", "target": "implication"}, {"source": "syl6ib", "target": "biconditional"}, {"source": "syl6ibr", "target": "mixed"}, {"source": "syl6ibr", "target": "syllogism"}, {"source": "syl6ibr", "target": "inference"}, {"source": "syl6ibr", "target": "nested"}, {"source": "syl6ibr", "target": "implication"}, {"source": "syl6ibr", "target": "biconditional"}, {"source": "syl6ibr", "target": "useful"}, {"source": "syl6ibr", "target": "substituting"}, {"source": "syl6ibr", "target": "embedded"}, {"source": "syl6ibr", "target": "consequent"}, {"source": "syl6ibr", "target": "definition"}, {"source": "syl6bi", "target": "mixed"}, {"source": "syl6bi", "target": "syllogism"}, {"source": "syl6bi", "target": "inference"}, {"source": "syl6bir", "target": "mixed"}, {"source": "syl6bir", "target": "syllogism"}, {"source": "syl6bir", "target": "inference"}, {"source": "syl7bi", "target": "mixed"}, {"source": "syl7bi", "target": "syllogism"}, {"source": "syl7bi", "target": "inference"}, {"source": "syl7bi", "target": "doubly"}, {"source": "syl7bi", "target": "nested"}, {"source": "syl7bi", "target": "implication"}, {"source": "syl7bi", "target": "biconditional"}, {"source": "syl8ib", "target": "syllogism"}, {"source": "syl8ib", "target": "rule"}, {"source": "syl8ib", "target": "inference"}, {"source": "syl8ib", "target": "second"}, {"source": "syl8ib", "target": "premise"}, {"source": "syl8ib", "target": "used"}, {"source": "syl8ib", "target": "replace"}, {"source": "syl8ib", "target": "consequent"}, {"source": "syl8ib", "target": "first"}, {"source": "syl8ib", "target": "premise"}, {"source": "mpbird", "target": "biconditional,"}, {"source": "mpbird", "target": "related"}, {"source": "mpbird", "target": "modus"}, {"source": "mpbird", "target": "ponens"}, {"source": "mpbiri", "target": "inference"}, {"source": "mpbiri", "target": "nested"}, {"source": "mpbiri", "target": "biconditional,"}, {"source": "mpbiri", "target": "related"}, {"source": "mpbiri", "target": "modus"}, {"source": "mpbiri", "target": "ponens"}, {"source": "mpbiri", "target": "wolf"}, {"source": "mpbiri", "target": "lammen,"}, {"source": "sylibrd", "target": "syllogism"}, {"source": "sylbird", "target": "syllogism"}, {"source": "biid", "target": "principle"}, {"source": "biid", "target": "identity"}, {"source": "biid", "target": "logical"}, {"source": "biid", "target": "equivalence"}, {"source": "biid", "target": "[whiteheadrussell]"}, {"source": "biid", "target": "117"}, {"source": "biidd", "target": "principle"}, {"source": "biidd", "target": "identity"}, {"source": "biidd", "target": "antecedent"}, {"source": "pm5.1im", "target": "equivalent"}, {"source": "pm5.1im", "target": "they"}, {"source": "pm5.1im", "target": "both"}, {"source": "pm5.1im", "target": "true"}, {"source": "pm5.1im", "target": "closed"}, {"source": "pm5.1im", "target": "form"}, {"source": "pm5.1im", "target": "equivalent"}, {"source": "pm5.1im", "target": "version"}, {"source": "pm5.1im", "target": "true,"}, {"source": "pm5.1im", "target": "no"}, {"source": "pm5.1im", "target": "matter"}, {"source": "pm5.1im", "target": "how"}, {"source": "pm5.1im", "target": "you"}, {"source": "pm5.1im", "target": "version"}, {"source": "pm5.1im", "target": "ps"}, {"source": "pm5.1im", "target": "ps"}, {"source": "pm5.1im", "target": "wolf"}, {"source": "pm5.1im", "target": "lammen,"}, {"source": "2th", "target": "equivalent"}, {"source": "2thd", "target": "equivalent"}, {"source": "2thd", "target": "rule"}, {"source": "ibi", "target": "inference"}, {"source": "ibi", "target": "biconditional"}, {"source": "ibi", "target": "implied"}, {"source": "ibi", "target": "one"}, {"source": "ibi", "target": "into"}, {"source": "ibi", "target": "implication"}, {"source": "ibir", "target": "inference"}, {"source": "ibir", "target": "biconditional"}, {"source": "ibir", "target": "implied"}, {"source": "ibir", "target": "one"}, {"source": "ibir", "target": "into"}, {"source": "ibir", "target": "implication"}, {"source": "ibd", "target": "biconditional"}, {"source": "ibd", "target": "implied"}, {"source": "ibd", "target": "one"}, {"source": "ibd", "target": "into"}, {"source": "ibd", "target": "implication"}, {"source": "pm5.74", "target": "distribution"}, {"source": "pm5.74", "target": "implication"}, {"source": "pm5.74", "target": "over"}, {"source": "pm5.74", "target": "biconditional"}, {"source": "pm5.74", "target": "[whiteheadrussell]"}, {"source": "pm5.74", "target": "wolf"}, {"source": "pm5.74", "target": "lammen,"}, {"source": "pm5.74i", "target": "distribution"}, {"source": "pm5.74i", "target": "implication"}, {"source": "pm5.74i", "target": "over"}, {"source": "pm5.74i", "target": "biconditional"}, {"source": "pm5.74i", "target": "inference"}, {"source": "pm5.74i", "target": "rule"}, {"source": "pm5.74ri", "target": "distribution"}, {"source": "pm5.74ri", "target": "implication"}, {"source": "pm5.74ri", "target": "over"}, {"source": "pm5.74ri", "target": "biconditional"}, {"source": "pm5.74ri", "target": "reverse"}, {"source": "pm5.74ri", "target": "inference"}, {"source": "pm5.74ri", "target": "rule"}, {"source": "pm5.74d", "target": "distribution"}, {"source": "pm5.74d", "target": "implication"}, {"source": "pm5.74d", "target": "over"}, {"source": "pm5.74d", "target": "biconditional"}, {"source": "pm5.74d", "target": "rule"}, {"source": "pm5.74rd", "target": "distribution"}, {"source": "pm5.74rd", "target": "implication"}, {"source": "pm5.74rd", "target": "over"}, {"source": "pm5.74rd", "target": "biconditional"}, {"source": "pm5.74rd", "target": "rule"}, {"source": "bitri", "target": "inference"}, {"source": "bitri", "target": "transitive"}, {"source": "bitri", "target": "logical"}, {"source": "bitri", "target": "equivalence"}, {"source": "bitri", "target": "wolf"}, {"source": "bitri", "target": "lammen,"}, {"source": "bitr2i", "target": "inference"}, {"source": "bitr2i", "target": "transitive"}, {"source": "bitr2i", "target": "logical"}, {"source": "bitr2i", "target": "equivalence"}, {"source": "bitr3i", "target": "inference"}, {"source": "bitr3i", "target": "transitive"}, {"source": "bitr3i", "target": "logical"}, {"source": "bitr3i", "target": "equivalence"}, {"source": "bitr4i", "target": "inference"}, {"source": "bitr4i", "target": "transitive"}, {"source": "bitr4i", "target": "logical"}, {"source": "bitr4i", "target": "equivalence"}, {"source": "bitrd", "target": "form"}, {"source": "bitrd", "target": "wolf"}, {"source": "bitrd", "target": "lammen,"}, {"source": "bitr2d", "target": "form"}, {"source": "bitr3d", "target": "form"}, {"source": "bitr4d", "target": "form"}, {"source": "syl5bb", "target": "syllogism"}, {"source": "syl5bb", "target": "inference"}, {"source": "syl5bb", "target": "biconditionals"}, {"source": "syl5rbb", "target": "syllogism"}, {"source": "syl5rbb", "target": "inference"}, {"source": "syl5rbb", "target": "biconditionals"}, {"source": "syl5bbr", "target": "syllogism"}, {"source": "syl5bbr", "target": "inference"}, {"source": "syl5bbr", "target": "biconditionals"}, {"source": "syl5rbbr", "target": "syllogism"}, {"source": "syl5rbbr", "target": "inference"}, {"source": "syl5rbbr", "target": "biconditionals"}, {"source": "syl6bb", "target": "syllogism"}, {"source": "syl6bb", "target": "inference"}, {"source": "syl6bb", "target": "biconditionals"}, {"source": "syl6rbb", "target": "syllogism"}, {"source": "syl6rbb", "target": "inference"}, {"source": "syl6rbb", "target": "biconditionals"}, {"source": "syl6bbr", "target": "syllogism"}, {"source": "syl6bbr", "target": "inference"}, {"source": "syl6bbr", "target": "biconditionals"}, {"source": "syl6rbbr", "target": "syllogism"}, {"source": "syl6rbbr", "target": "inference"}, {"source": "syl6rbbr", "target": "biconditionals"}, {"source": "3imtr3i", "target": "mixed"}, {"source": "3imtr3i", "target": "syllogism"}, {"source": "3imtr3i", "target": "inference,"}, {"source": "3imtr3i", "target": "useful"}, {"source": "3imtr3i", "target": "removing"}, {"source": "3imtr3i", "target": "definition"}, {"source": "3imtr3i", "target": "both"}, {"source": "3imtr3i", "target": "sides"}, {"source": "3imtr3i", "target": "implication"}, {"source": "3imtr4i", "target": "mixed"}, {"source": "3imtr4i", "target": "syllogism"}, {"source": "3imtr4i", "target": "inference,"}, {"source": "3imtr4i", "target": "useful"}, {"source": "3imtr4i", "target": "applying"}, {"source": "3imtr4i", "target": "definition"}, {"source": "3imtr4i", "target": "both"}, {"source": "3imtr4i", "target": "sides"}, {"source": "3imtr4i", "target": "implication"}, {"source": "3imtr3d", "target": "more"}, {"source": "3imtr3d", "target": "general"}, {"source": "3imtr3d", "target": "version"}, {"source": "3imtr3d", "target": "useful"}, {"source": "3imtr3d", "target": "converting"}, {"source": "3imtr3d", "target": "conditional"}, {"source": "3imtr3d", "target": "definitions"}, {"source": "3imtr3d", "target": "formula"}, {"source": "3imtr4d", "target": "more"}, {"source": "3imtr4d", "target": "general"}, {"source": "3imtr4d", "target": "version"}, {"source": "3imtr4d", "target": "useful"}, {"source": "3imtr4d", "target": "converting"}, {"source": "3imtr4d", "target": "conditional"}, {"source": "3imtr4d", "target": "definitions"}, {"source": "3imtr4d", "target": "formula"}, {"source": "3imtr3g", "target": "more"}, {"source": "3imtr3g", "target": "general"}, {"source": "3imtr3g", "target": "version"}, {"source": "3imtr3g", "target": "useful"}, {"source": "3imtr3g", "target": "converting"}, {"source": "3imtr3g", "target": "definitions"}, {"source": "3imtr3g", "target": "formula"}, {"source": "3imtr3g", "target": "wolf"}, {"source": "3imtr3g", "target": "lammen,"}, {"source": "3imtr4g", "target": "more"}, {"source": "3imtr4g", "target": "general"}, {"source": "3imtr4g", "target": "version"}, {"source": "3imtr4g", "target": "useful"}, {"source": "3imtr4g", "target": "converting"}, {"source": "3imtr4g", "target": "definitions"}, {"source": "3imtr4g", "target": "formula"}, {"source": "3imtr4g", "target": "wolf"}, {"source": "3imtr4g", "target": "lammen,"}, {"source": "3bitri", "target": "chained"}, {"source": "3bitri", "target": "inference"}, {"source": "3bitri", "target": "transitive"}, {"source": "3bitri", "target": "logical"}, {"source": "3bitri", "target": "equivalence"}, {"source": "3bitrri", "target": "chained"}, {"source": "3bitrri", "target": "inference"}, {"source": "3bitrri", "target": "transitive"}, {"source": "3bitrri", "target": "logical"}, {"source": "3bitrri", "target": "equivalence"}, {"source": "3bitr2i", "target": "chained"}, {"source": "3bitr2i", "target": "inference"}, {"source": "3bitr2i", "target": "transitive"}, {"source": "3bitr2i", "target": "logical"}, {"source": "3bitr2i", "target": "equivalence"}, {"source": "3bitr2ri", "target": "chained"}, {"source": "3bitr2ri", "target": "inference"}, {"source": "3bitr2ri", "target": "transitive"}, {"source": "3bitr2ri", "target": "logical"}, {"source": "3bitr2ri", "target": "equivalence"}, {"source": "3bitr3i", "target": "chained"}, {"source": "3bitr3i", "target": "inference"}, {"source": "3bitr3i", "target": "transitive"}, {"source": "3bitr3i", "target": "logical"}, {"source": "3bitr3i", "target": "equivalence"}, {"source": "3bitr3ri", "target": "chained"}, {"source": "3bitr3ri", "target": "inference"}, {"source": "3bitr3ri", "target": "transitive"}, {"source": "3bitr3ri", "target": "logical"}, {"source": "3bitr3ri", "target": "equivalence"}, {"source": "3bitr4i", "target": "chained"}, {"source": "3bitr4i", "target": "inference"}, {"source": "3bitr4i", "target": "transitive"}, {"source": "3bitr4i", "target": "logical"}, {"source": "3bitr4i", "target": "equivalence"}, {"source": "3bitr4i", "target": "inference"}, {"source": "3bitr4i", "target": "frequently"}, {"source": "3bitr4i", "target": "used"}, {"source": "3bitr4i", "target": "apply"}, {"source": "3bitr4i", "target": "definition"}, {"source": "3bitr4i", "target": "both"}, {"source": "3bitr4i", "target": "sides"}, {"source": "3bitr4i", "target": "logical"}, {"source": "3bitr4i", "target": "equivalence"}, {"source": "3bitr4ri", "target": "chained"}, {"source": "3bitr4ri", "target": "inference"}, {"source": "3bitr4ri", "target": "transitive"}, {"source": "3bitr4ri", "target": "logical"}, {"source": "3bitr4ri", "target": "equivalence"}, {"source": "3bitrd", "target": "transitivity"}, {"source": "3bitrd", "target": "biconditional"}, {"source": "3bitrrd", "target": "transitivity"}, {"source": "3bitrrd", "target": "biconditional"}, {"source": "3bitr2d", "target": "transitivity"}, {"source": "3bitr2d", "target": "biconditional"}, {"source": "3bitr2rd", "target": "transitivity"}, {"source": "3bitr2rd", "target": "biconditional"}, {"source": "3bitr3d", "target": "transitivity"}, {"source": "3bitr3d", "target": "biconditional"}, {"source": "3bitr3d", "target": "useful"}, {"source": "3bitr3d", "target": "converting"}, {"source": "3bitr3d", "target": "conditional"}, {"source": "3bitr3d", "target": "definitions"}, {"source": "3bitr3d", "target": "formula"}, {"source": "3bitr3rd", "target": "transitivity"}, {"source": "3bitr3rd", "target": "biconditional"}, {"source": "3bitr4d", "target": "transitivity"}, {"source": "3bitr4d", "target": "biconditional"}, {"source": "3bitr4d", "target": "useful"}, {"source": "3bitr4d", "target": "converting"}, {"source": "3bitr4d", "target": "conditional"}, {"source": "3bitr4d", "target": "definitions"}, {"source": "3bitr4d", "target": "formula"}, {"source": "3bitr4rd", "target": "transitivity"}, {"source": "3bitr4rd", "target": "biconditional"}, {"source": "3bitr3g", "target": "more"}, {"source": "3bitr3g", "target": "general"}, {"source": "3bitr3g", "target": "version"}, {"source": "3bitr3g", "target": "useful"}, {"source": "3bitr3g", "target": "converting"}, {"source": "3bitr3g", "target": "definitions"}, {"source": "3bitr3g", "target": "formula"}, {"source": "3bitr4g", "target": "more"}, {"source": "3bitr4g", "target": "general"}, {"source": "3bitr4g", "target": "version"}, {"source": "3bitr4g", "target": "useful"}, {"source": "3bitr4g", "target": "converting"}, {"source": "3bitr4g", "target": "definitions"}, {"source": "3bitr4g", "target": "formula"}, {"source": "bi3ant", "target": "construct"}, {"source": "bi3ant", "target": "antecedent"}, {"source": "bi3ant", "target": "position"}, {"source": "bi3ant", "target": "wolf"}, {"source": "bi3ant", "target": "lammen,"}, {"source": "bisym", "target": "express"}, {"source": "bisym", "target": "theorems"}, {"source": "bisym", "target": "terms"}, {"source": "bisym", "target": "biconditionals"}, {"source": "bisym", "target": "wolf"}, {"source": "bisym", "target": "lammen,"}, {"source": "notnot", "target": "double"}, {"source": "notnot", "target": "negation"}, {"source": "notnot", "target": "[whiteheadrussell]"}, {"source": "notnot", "target": "117"}, {"source": "con34b", "target": "contraposition"}, {"source": "con34b", "target": "[whiteheadrussell]"}, {"source": "con34b", "target": "116"}, {"source": "con4bid", "target": "contraposition"}, {"source": "notbid", "target": "both"}, {"source": "notbid", "target": "sides"}, {"source": "notbid", "target": "logical"}, {"source": "notbid", "target": "equivalence"}, {"source": "notbi", "target": "contraposition"}, {"source": "notbi", "target": "[whiteheadrussell]"}, {"source": "notbi", "target": "117"}, {"source": "notbi", "target": "wolf"}, {"source": "notbi", "target": "lammen,"}, {"source": "notbii", "target": "both"}, {"source": "notbii", "target": "sides"}, {"source": "notbii", "target": "logical"}, {"source": "notbii", "target": "equivalence"}, {"source": "notbii", "target": "wolf"}, {"source": "notbii", "target": "lammen,"}, {"source": "con4bii", "target": "contraposition"}, {"source": "con4bii", "target": "inference"}, {"source": "mtbi", "target": "inference"}, {"source": "mtbi", "target": "biconditional,"}, {"source": "mtbi", "target": "related"}, {"source": "mtbi", "target": "modus"}, {"source": "mtbi", "target": "tollens"}, {"source": "mtbi", "target": "wolf"}, {"source": "mtbi", "target": "lammen,"}, {"source": "mtbir", "target": "inference"}, {"source": "mtbir", "target": "biconditional,"}, {"source": "mtbir", "target": "related"}, {"source": "mtbir", "target": "modus"}, {"source": "mtbir", "target": "tollens"}, {"source": "mtbir", "target": "wolf"}, {"source": "mtbir", "target": "lammen,"}, {"source": "mtbid", "target": "biconditional,"}, {"source": "mtbid", "target": "similar"}, {"source": "mtbid", "target": "modus"}, {"source": "mtbid", "target": "tollens"}, {"source": "mtbird", "target": "biconditional,"}, {"source": "mtbird", "target": "similar"}, {"source": "mtbird", "target": "modus"}, {"source": "mtbird", "target": "tollens"}, {"source": "mtbii", "target": "inference"}, {"source": "mtbii", "target": "biconditional,"}, {"source": "mtbii", "target": "similar"}, {"source": "mtbii", "target": "modus"}, {"source": "mtbii", "target": "tollens"}, {"source": "mtbiri", "target": "inference"}, {"source": "mtbiri", "target": "biconditional,"}, {"source": "mtbiri", "target": "similar"}, {"source": "mtbiri", "target": "modus"}, {"source": "mtbiri", "target": "tollens"}, {"source": "sylnib", "target": "mixed"}, {"source": "sylnib", "target": "syllogism"}, {"source": "sylnib", "target": "inference"}, {"source": "sylnib", "target": "implication"}, {"source": "sylnib", "target": "biconditional"}, {"source": "sylnib", "target": "wolf"}, {"source": "sylnib", "target": "lammen,"}, {"source": "sylnibr", "target": "mixed"}, {"source": "sylnibr", "target": "syllogism"}, {"source": "sylnibr", "target": "inference"}, {"source": "sylnibr", "target": "implication"}, {"source": "sylnibr", "target": "biconditional"}, {"source": "sylnibr", "target": "useful"}, {"source": "sylnibr", "target": "substituting"}, {"source": "sylnibr", "target": "consequent"}, {"source": "sylnibr", "target": "definition"}, {"source": "sylnibr", "target": "wolf"}, {"source": "sylnibr", "target": "lammen,"}, {"source": "sylnbi", "target": "mixed"}, {"source": "sylnbi", "target": "syllogism"}, {"source": "sylnbi", "target": "inference"}, {"source": "sylnbi", "target": "biconditional"}, {"source": "sylnbi", "target": "implication"}, {"source": "sylnbi", "target": "useful"}, {"source": "sylnbi", "target": "substituting"}, {"source": "sylnbi", "target": "antecedent"}, {"source": "sylnbi", "target": "definition"}, {"source": "sylnbi", "target": "wolf"}, {"source": "sylnbi", "target": "lammen,"}, {"source": "sylnbir", "target": "mixed"}, {"source": "sylnbir", "target": "syllogism"}, {"source": "sylnbir", "target": "inference"}, {"source": "sylnbir", "target": "biconditional"}, {"source": "sylnbir", "target": "implication"}, {"source": "sylnbir", "target": "wolf"}, {"source": "sylnbir", "target": "lammen,"}, {"source": "xchnxbi", "target": "replacement"}, {"source": "xchnxbi", "target": "equivalent"}, {"source": "xchnxbi", "target": "one"}, {"source": "xchnxbi", "target": "wolf"}, {"source": "xchnxbi", "target": "lammen,"}, {"source": "xchnxbir", "target": "replacement"}, {"source": "xchnxbir", "target": "equivalent"}, {"source": "xchnxbir", "target": "one"}, {"source": "xchnxbir", "target": "wolf"}, {"source": "xchnxbir", "target": "lammen,"}, {"source": "xchbinx", "target": "replacement"}, {"source": "xchbinx", "target": "equivalent"}, {"source": "xchbinx", "target": "one"}, {"source": "xchbinx", "target": "wolf"}, {"source": "xchbinx", "target": "lammen,"}, {"source": "xchbinxr", "target": "replacement"}, {"source": "xchbinxr", "target": "equivalent"}, {"source": "xchbinxr", "target": "one"}, {"source": "xchbinxr", "target": "wolf"}, {"source": "xchbinxr", "target": "lammen,"}, {"source": "imbi2i", "target": "introduce"}, {"source": "imbi2i", "target": "antecedent"}, {"source": "imbi2i", "target": "both"}, {"source": "imbi2i", "target": "sides"}, {"source": "imbi2i", "target": "logical"}, {"source": "imbi2i", "target": "equivalence"}, {"source": "imbi2i", "target": "wolf"}, {"source": "imbi2i", "target": "lammen,"}, {"source": "bibi2i", "target": "inference"}, {"source": "bibi2i", "target": "adding"}, {"source": "bibi2i", "target": "biconditional"}, {"source": "bibi2i", "target": "left"}, {"source": "bibi2i", "target": "equivalence"}, {"source": "bibi2i", "target": "wolf"}, {"source": "bibi2i", "target": "lammen,"}, {"source": "bibi1i", "target": "inference"}, {"source": "bibi1i", "target": "adding"}, {"source": "bibi1i", "target": "biconditional"}, {"source": "bibi1i", "target": "right"}, {"source": "bibi1i", "target": "equivalence"}, {"source": "bibi12i", "target": "equivalence"}, {"source": "bibi12i", "target": "equivalences"}, {"source": "imbi2d", "target": "adding"}, {"source": "imbi2d", "target": "antecedent"}, {"source": "imbi2d", "target": "both"}, {"source": "imbi2d", "target": "sides"}, {"source": "imbi2d", "target": "logical"}, {"source": "imbi2d", "target": "equivalence"}, {"source": "imbi1d", "target": "adding"}, {"source": "imbi1d", "target": "consequent"}, {"source": "imbi1d", "target": "both"}, {"source": "imbi1d", "target": "sides"}, {"source": "imbi1d", "target": "logical"}, {"source": "imbi1d", "target": "equivalence"}, {"source": "imbi1d", "target": "wolf"}, {"source": "imbi1d", "target": "lammen,"}, {"source": "bibi2d", "target": "adding"}, {"source": "bibi2d", "target": "biconditional"}, {"source": "bibi2d", "target": "left"}, {"source": "bibi2d", "target": "equivalence"}, {"source": "bibi2d", "target": "wolf"}, {"source": "bibi2d", "target": "lammen,"}, {"source": "bibi1d", "target": "adding"}, {"source": "bibi1d", "target": "biconditional"}, {"source": "bibi1d", "target": "right"}, {"source": "bibi1d", "target": "equivalence"}, {"source": "imbi12d", "target": "joining"}, {"source": "imbi12d", "target": "equivalences"}, {"source": "imbi12d", "target": "form"}, {"source": "imbi12d", "target": "equivalence"}, {"source": "imbi12d", "target": "implications"}, {"source": "bibi12d", "target": "joining"}, {"source": "bibi12d", "target": "equivalences"}, {"source": "bibi12d", "target": "form"}, {"source": "bibi12d", "target": "equivalence"}, {"source": "bibi12d", "target": "biconditionals"}, {"source": "imbi1", "target": "[whiteheadrussell]"}, {"source": "imbi1", "target": "122"}, {"source": "imbi2", "target": "[whiteheadrussell]"}, {"source": "imbi2", "target": "122"}, {"source": "imbi2", "target": "wolf"}, {"source": "imbi2", "target": "lammen,"}, {"source": "imbi1i", "target": "introduce"}, {"source": "imbi1i", "target": "consequent"}, {"source": "imbi1i", "target": "both"}, {"source": "imbi1i", "target": "sides"}, {"source": "imbi1i", "target": "logical"}, {"source": "imbi1i", "target": "equivalence"}, {"source": "imbi1i", "target": "wolf"}, {"source": "imbi1i", "target": "lammen,"}, {"source": "imbi12i", "target": "join"}, {"source": "imbi12i", "target": "logical"}, {"source": "imbi12i", "target": "equivalences"}, {"source": "imbi12i", "target": "form"}, {"source": "imbi12i", "target": "equivalence"}, {"source": "imbi12i", "target": "implications"}, {"source": "bibi1", "target": "[whiteheadrussell]"}, {"source": "bibi1", "target": "122"}, {"source": "con2bi", "target": "contraposition"}, {"source": "con2bi", "target": "[whiteheadrussell]"}, {"source": "con2bi", "target": "117"}, {"source": "con2bi", "target": "wolf"}, {"source": "con2bi", "target": "lammen,"}, {"source": "con2bid", "target": "contraposition"}, {"source": "con1bid", "target": "contraposition"}, {"source": "con1bii", "target": "contraposition"}, {"source": "con1bii", "target": "inference"}, {"source": "con1bii", "target": "wolf"}, {"source": "con1bii", "target": "lammen,"}, {"source": "con2bii", "target": "contraposition"}, {"source": "con2bii", "target": "inference"}, {"source": "con1b", "target": "contraposition"}, {"source": "con1b", "target": "bidirectional"}, {"source": "con1b", "target": "version"}, {"source": "con2b", "target": "contraposition"}, {"source": "con2b", "target": "bidirectional"}, {"source": "con2b", "target": "version"}, {"source": "biimt", "target": "wff"}, {"source": "biimt", "target": "equivalent"}, {"source": "biimt", "target": "itself"}, {"source": "biimt", "target": "true"}, {"source": "biimt", "target": "antecedent"}, {"source": "pm5.5", "target": "[whiteheadrussell]"}, {"source": "pm5.5", "target": "125"}, {"source": "a1bi", "target": "inference"}, {"source": "a1bi", "target": "rule"}, {"source": "a1bi", "target": "introducing"}, {"source": "a1bi", "target": "antecedent"}, {"source": "a1bi", "target": "wolf"}, {"source": "a1bi", "target": "lammen,"}, {"source": "mt2bi", "target": "false"}, {"source": "mt2bi", "target": "consequent"}, {"source": "mt2bi", "target": "antecedent"}, {"source": "mt2bi", "target": "wolf"}, {"source": "mt2bi", "target": "lammen,"}, {"source": "mtt", "target": "wolf"}, {"source": "mtt", "target": "lammen,"}, {"source": "pm5.501", "target": "[whiteheadrussell]"}, {"source": "pm5.501", "target": "125"}, {"source": "ibib", "target": "implication"}, {"source": "ibib", "target": "terms"}, {"source": "ibib", "target": "implication"}, {"source": "ibib", "target": "biconditional"}, {"source": "ibib", "target": "wolf"}, {"source": "ibib", "target": "lammen,"}, {"source": "ibibr", "target": "implication"}, {"source": "ibibr", "target": "terms"}, {"source": "ibibr", "target": "implication"}, {"source": "ibibr", "target": "biconditional"}, {"source": "ibibr", "target": "wolf"}, {"source": "ibibr", "target": "lammen,"}, {"source": "tbt", "target": "wff"}, {"source": "tbt", "target": "equivalent"}, {"source": "tbt", "target": "equivalence"}, {"source": "tbt", "target": "truth"}, {"source": "nbn2", "target": "negation"}, {"source": "nbn2", "target": "wff"}, {"source": "nbn2", "target": "equivalent"}, {"source": "nbn2", "target": "wff's"}, {"source": "nbn2", "target": "equivalence"}, {"source": "nbn2", "target": "falsehood"}, {"source": "nbn2", "target": "wolf"}, {"source": "nbn2", "target": "lammen,"}, {"source": "bibif", "target": "transfer"}, {"source": "bibif", "target": "negation"}, {"source": "bibif", "target": "via"}, {"source": "bibif", "target": "equivalence"}, {"source": "bibif", "target": "wolf"}, {"source": "bibif", "target": "lammen,"}, {"source": "nbn", "target": "negation"}, {"source": "nbn", "target": "wff"}, {"source": "nbn", "target": "equivalent"}, {"source": "nbn", "target": "wff's"}, {"source": "nbn", "target": "equivalence"}, {"source": "nbn", "target": "falsehood"}, {"source": "nbn", "target": "wolf"}, {"source": "nbn", "target": "lammen,"}, {"source": "nbn3", "target": "transfer"}, {"source": "nbn3", "target": "falsehood"}, {"source": "nbn3", "target": "via"}, {"source": "nbn3", "target": "equivalence"}, {"source": "pm5.21im", "target": "equivalent"}, {"source": "pm5.21im", "target": "they"}, {"source": "pm5.21im", "target": "both"}, {"source": "pm5.21im", "target": "false"}, {"source": "pm5.21im", "target": "closed"}, {"source": "pm5.21im", "target": "form"}, {"source": "pm5.21im", "target": "equivalent"}, {"source": "pm5.21im", "target": "version"}, {"source": "pm5.21im", "target": "wolf"}, {"source": "pm5.21im", "target": "lammen,"}, {"source": "2false", "target": "equivalent"}, {"source": "2false", "target": "wolf"}, {"source": "2false", "target": "lammen,"}, {"source": "2falsed", "target": "equivalent"}, {"source": "2falsed", "target": "rule"}, {"source": "pm5.21ni", "target": "implying"}, {"source": "pm5.21ni", "target": "false"}, {"source": "pm5.21ni", "target": "one"}, {"source": "pm5.21ni", "target": "equivalent"}, {"source": "pm5.21ni", "target": "wolf"}, {"source": "pm5.21ni", "target": "lammen,"}, {"source": "pm5.21nii", "target": "eliminate"}, {"source": "pm5.21nii", "target": "antecedent"}, {"source": "pm5.21nii", "target": "implied"}, {"source": "pm5.21nii", "target": "each"}, {"source": "pm5.21nii", "target": "side"}, {"source": "pm5.21nii", "target": "biconditional"}, {"source": "pm5.21ndd", "target": "eliminate"}, {"source": "pm5.21ndd", "target": "antecedent"}, {"source": "pm5.21ndd", "target": "implied"}, {"source": "pm5.21ndd", "target": "each"}, {"source": "pm5.21ndd", "target": "side"}, {"source": "pm5.21ndd", "target": "biconditional,"}, {"source": "pm5.21ndd", "target": "version"}, {"source": "pm5.21ndd", "target": "paul"}, {"source": "pm5.21ndd", "target": "chapman,"}, {"source": "pm5.21ndd", "target": "wolf"}, {"source": "pm5.21ndd", "target": "lammen,"}, {"source": "bija", "target": "combine"}, {"source": "bija", "target": "antecedents"}, {"source": "bija", "target": "into"}, {"source": "bija", "target": "single"}, {"source": "bija", "target": "inference,"}, {"source": "bija", "target": "hypotheses"}, {"source": "bija", "target": "can"}, {"source": "bija", "target": "conclusion"}, {"source": "bija", "target": "see"}, {"source": "bija", "target": "wolf"}, {"source": "bija", "target": "lammen,"}, {"source": "pm5.18", "target": "[whiteheadrussell]"}, {"source": "pm5.18", "target": "124"}, {"source": "pm5.18", "target": "says"}, {"source": "pm5.18", "target": "logical"}, {"source": "pm5.18", "target": "equivalence"}, {"source": "pm5.18", "target": "same"}, {"source": "pm5.18", "target": "negated"}, {"source": "pm5.18", "target": "wolf"}, {"source": "pm5.18", "target": "lammen,"}, {"source": "xor3", "target": "ways"}, {"source": "xor3", "target": "express"}, {"source": "nbbn", "target": "move"}, {"source": "nbbn", "target": "negation"}, {"source": "nbbn", "target": "outside"}, {"source": "nbbn", "target": "biconditional"}, {"source": "nbbn", "target": "compare"}, {"source": "nbbn", "target": "[whiteheadrussell]"}, {"source": "nbbn", "target": "124"}, {"source": "nbbn", "target": "wolf"}, {"source": "nbbn", "target": "lammen,"}, {"source": "biass", "target": "associative"}, {"source": "biass", "target": "biconditional"}, {"source": "biass", "target": "axiom"}, {"source": "biass", "target": "system"}, {"source": "biass", "target": "applied"}, {"source": "biass", "target": "logic,"}, {"source": "biass", "target": "was"}, {"source": "biass", "target": "included"}, {"source": "biass", "target": "but"}, {"source": "biass", "target": "was"}, {"source": "biass", "target": "first"}, {"source": "biass", "target": "lukasiewicz"}, {"source": "biass", "target": "1923"}, {"source": "biass", "target": "wolf"}, {"source": "biass", "target": "lammen,"}, {"source": "pm5.19", "target": "[whiteheadrussell]"}, {"source": "pm5.19", "target": "124"}, {"source": "bi2.04", "target": "logical"}, {"source": "bi2.04", "target": "equivalence"}, {"source": "bi2.04", "target": "commuted"}, {"source": "bi2.04", "target": "antecedents"}, {"source": "bi2.04", "target": "[whiteheadrussell]"}, {"source": "bi2.04", "target": "122"}, {"source": "pm5.4", "target": "antecedent"}, {"source": "pm5.4", "target": "absorption"}, {"source": "pm5.4", "target": "implication"}, {"source": "pm5.4", "target": "[whiteheadrussell]"}, {"source": "pm5.4", "target": "125"}, {"source": "imdi", "target": "distributive"}, {"source": "imdi", "target": "implication"}, {"source": "imdi", "target": "compare"}, {"source": "imdi", "target": "[whiteheadrussell]"}, {"source": "imdi", "target": "125"}, {"source": "pm5.41", "target": "[whiteheadrussell]"}, {"source": "pm5.41", "target": "125"}, {"source": "pm5.41", "target": "wolf"}, {"source": "pm5.41", "target": "lammen,"}, {"source": "pm4.8", "target": "[whiteheadrussell]"}, {"source": "pm4.8", "target": "122"}, {"source": "pm4.81", "target": "[whiteheadrussell]"}, {"source": "pm4.81", "target": "122"}, {"source": "imim21b", "target": "simplify"}, {"source": "imim21b", "target": "implication"}, {"source": "imim21b", "target": "between"}, {"source": "imim21b", "target": "implications"}, {"source": "imim21b", "target": "when"}, {"source": "imim21b", "target": "antecedent"}, {"source": "imim21b", "target": "first"}, {"source": "imim21b", "target": "consequence"}, {"source": "imim21b", "target": "antecedent"}, {"source": "imim21b", "target": "second"}, {"source": "imim21b", "target": "reverse"}, {"source": "imim21b", "target": "form"}, {"source": "imim21b", "target": "useful"}, {"source": "imim21b", "target": "successor"}, {"source": "imim21b", "target": "step"}, {"source": "imim21b", "target": "induction"}, {"source": "imim21b", "target": "proofs"}, {"source": "imim21b", "target": "paul"}, {"source": "imim21b", "target": "chapman,"}, {"source": "imim21b", "target": "wolf"}, {"source": "imim21b", "target": "lammen,"}, {"source": "pm4.64", "target": "[whiteheadrussell]"}, {"source": "pm4.64", "target": "120"}, {"source": "pm2.53", "target": "[whiteheadrussell]"}, {"source": "pm2.53", "target": "107"}, {"source": "pm2.54", "target": "[whiteheadrussell]"}, {"source": "pm2.54", "target": "107"}, {"source": "ori", "target": "infer"}, {"source": "ori", "target": "implication"}, {"source": "ori", "target": "disjunction"}, {"source": "orri", "target": "infer"}, {"source": "orri", "target": "implication"}, {"source": "orri", "target": "disjunction"}, {"source": "ord", "target": "deduce"}, {"source": "ord", "target": "implication"}, {"source": "ord", "target": "disjunction"}, {"source": "orrd", "target": "deduce"}, {"source": "orrd", "target": "implication"}, {"source": "orrd", "target": "disjunction"}, {"source": "jaoi", "target": "inference"}, {"source": "jaoi", "target": "antecedents"}, {"source": "jaoi", "target": "implications"}, {"source": "jaod", "target": "antecedents"}, {"source": "jaod", "target": "implications"}, {"source": "mpjaod", "target": "eliminate"}, {"source": "mpjaod", "target": "disjunction"}, {"source": "orel1", "target": "elimination"}, {"source": "orel1", "target": "disjunction"}, {"source": "orel1", "target": "disjunct"}, {"source": "orel1", "target": "[whiteheadrussell]"}, {"source": "orel1", "target": "107"}, {"source": "orel1", "target": "wolf"}, {"source": "orel1", "target": "lammen,"}, {"source": "orel2", "target": "elimination"}, {"source": "orel2", "target": "disjunction"}, {"source": "orel2", "target": "disjunct"}, {"source": "orel2", "target": "[whiteheadrussell]"}, {"source": "orel2", "target": "107"}, {"source": "orel2", "target": "wolf"}, {"source": "orel2", "target": "lammen,"}, {"source": "olc", "target": "introduction"}, {"source": "olc", "target": "disjunct"}, {"source": "olc", "target": "axiom"}, {"source": "olc", "target": "[whiteheadrussell]"}, {"source": "olc", "target": "96"}, {"source": "orc", "target": "introduction"}, {"source": "orc", "target": "disjunct"}, {"source": "orc", "target": "[whiteheadrussell]"}, {"source": "orc", "target": "104"}, {"source": "pm1.4", "target": "axiom"}, {"source": "pm1.4", "target": "[whiteheadrussell]"}, {"source": "pm1.4", "target": "96"}, {"source": "orcom", "target": "commutative"}, {"source": "orcom", "target": "disjunction"}, {"source": "orcom", "target": "[whiteheadrussell]"}, {"source": "orcom", "target": "118"}, {"source": "orcom", "target": "wolf"}, {"source": "orcom", "target": "lammen,"}, {"source": "orcomd", "target": "commutation"}, {"source": "orcomd", "target": "consequent"}, {"source": "orcoms", "target": "commutation"}, {"source": "orcoms", "target": "antecedent"}, {"source": "orci", "target": "introducing"}, {"source": "orci", "target": "disjunct"}, {"source": "orci", "target": "wolf"}, {"source": "orci", "target": "lammen,"}, {"source": "olci", "target": "introducing"}, {"source": "olci", "target": "disjunct"}, {"source": "olci", "target": "wolf"}, {"source": "olci", "target": "lammen,"}, {"source": "orcd", "target": "introducing"}, {"source": "orcd", "target": "disjunct"}, {"source": "orcd", "target": "translation"}, {"source": "orcd", "target": "natural"}, {"source": "orcd", "target": "rule"}, {"source": "orcd", "target": "\\/"}, {"source": "orcd", "target": "\\/"}, {"source": "orcd", "target": "see"}, {"source": "orcd", "target": "natded"}, {"source": "olcd", "target": "introducing"}, {"source": "olcd", "target": "disjunct"}, {"source": "olcd", "target": "translation"}, {"source": "olcd", "target": "natural"}, {"source": "olcd", "target": "rule"}, {"source": "olcd", "target": "\\/"}, {"source": "olcd", "target": "\\/"}, {"source": "olcd", "target": "see"}, {"source": "olcd", "target": "natded"}, {"source": "olcd", "target": "wolf"}, {"source": "olcd", "target": "lammen,"}, {"source": "orcs", "target": "eliminating"}, {"source": "orcs", "target": "disjunct"}, {"source": "orcs", "target": "we"}, {"source": "orcs", "target": "sometimes"}, {"source": "orcs", "target": "suffix"}, {"source": "orcs", "target": "label"}, {"source": "orcs", "target": "inference"}, {"source": "orcs", "target": "consequent"}, {"source": "orcs", "target": "unchanged"}, {"source": "orcs", "target": "means"}, {"source": "orcs", "target": "inference"}, {"source": "orcs", "target": "eliminates"}, {"source": "orcs", "target": "need"}, {"source": "orcs", "target": "syllogism"}, {"source": "orcs", "target": "syl"}, {"source": "orcs", "target": "inference"}, {"source": "olcs", "target": "eliminating"}, {"source": "olcs", "target": "disjunct"}, {"source": "olcs", "target": "wolf"}, {"source": "olcs", "target": "lammen,"}, {"source": "pm2.07", "target": "[whiteheadrussell]"}, {"source": "pm2.07", "target": "101"}, {"source": "pm2.45", "target": "[whiteheadrussell]"}, {"source": "pm2.45", "target": "106"}, {"source": "pm2.46", "target": "[whiteheadrussell]"}, {"source": "pm2.46", "target": "106"}, {"source": "pm2.47", "target": "[whiteheadrussell]"}, {"source": "pm2.47", "target": "107"}, {"source": "pm2.48", "target": "[whiteheadrussell]"}, {"source": "pm2.48", "target": "107"}, {"source": "pm2.49", "target": "[whiteheadrussell]"}, {"source": "pm2.49", "target": "107"}, {"source": "pm2.67-2", "target": "generalization"}, {"source": "pm2.67-2", "target": "[whiteheadrussell]"}, {"source": "pm2.67-2", "target": "107"}, {"source": "pm2.67", "target": "[whiteheadrussell]"}, {"source": "pm2.67", "target": "107"}, {"source": "pm2.25", "target": "[whiteheadrussell]"}, {"source": "pm2.25", "target": "104"}, {"source": "biorf", "target": "wff"}, {"source": "biorf", "target": "equivalent"}, {"source": "biorf", "target": "disjunction"}, {"source": "biorf", "target": "falsehood"}, {"source": "biorf", "target": "[whiteheadrussell]"}, {"source": "biorf", "target": "121"}, {"source": "biorf", "target": "wolf"}, {"source": "biorf", "target": "lammen,"}, {"source": "biortn", "target": "wff"}, {"source": "biortn", "target": "equivalent"}, {"source": "biortn", "target": "negated"}, {"source": "biortn", "target": "disjunction"}, {"source": "biortn", "target": "falsehood"}, {"source": "biorfi", "target": "wff"}, {"source": "biorfi", "target": "equivalent"}, {"source": "biorfi", "target": "disjunction"}, {"source": "biorfi", "target": "falsehood"}, {"source": "pm2.621", "target": "[whiteheadrussell]"}, {"source": "pm2.621", "target": "107"}, {"source": "pm2.62", "target": "[whiteheadrussell]"}, {"source": "pm2.62", "target": "107"}, {"source": "pm2.62", "target": "wolf"}, {"source": "pm2.62", "target": "lammen,"}, {"source": "pm2.68", "target": "[whiteheadrussell]"}, {"source": "pm2.68", "target": "108"}, {"source": "dfor2", "target": "logical"}, {"source": "dfor2", "target": "expressed"}, {"source": "dfor2", "target": "terms"}, {"source": "dfor2", "target": "implication"}, {"source": "dfor2", "target": "only"}, {"source": "dfor2", "target": "[whiteheadrussell]"}, {"source": "dfor2", "target": "124"}, {"source": "dfor2", "target": "wolf"}, {"source": "dfor2", "target": "lammen,"}, {"source": "imor", "target": "implication"}, {"source": "imor", "target": "terms"}, {"source": "imor", "target": "disjunction"}, {"source": "imor", "target": "[whiteheadrussell]"}, {"source": "imor", "target": "120"}, {"source": "imori", "target": "infer"}, {"source": "imori", "target": "disjunction"}, {"source": "imori", "target": "implication"}, {"source": "imorri", "target": "infer"}, {"source": "imorri", "target": "implication"}, {"source": "imorri", "target": "disjunction"}, {"source": "imorri", "target": "jonathan"}, {"source": "exmid", "target": "excluded"}, {"source": "exmid", "target": "also"}, {"source": "exmid", "target": "called"}, {"source": "exmid", "target": "principle"}, {"source": "exmid", "target": "[whiteheadrussell]"}, {"source": "exmid", "target": "101"}, {"source": "exmid", "target": "says"}, {"source": "exmid", "target": "something"}, {"source": "exmid", "target": "either"}, {"source": "exmid", "target": "true"}, {"source": "exmid", "target": "true,"}, {"source": "exmid", "target": "there"}, {"source": "exmid", "target": "no"}, {"source": "exmid", "target": "values"}, {"source": "exmid", "target": "truth"}, {"source": "exmid", "target": "our"}, {"source": "exmid", "target": "classical"}, {"source": "exmid", "target": "logic"}, {"source": "exmid", "target": "intuitionistic"}, {"source": "exmid", "target": "logic"}, {"source": "exmid", "target": "intuitionistic"}, {"source": "exmid", "target": "logic,"}, {"source": "exmid", "target": "statement"}, {"source": "exmid", "target": "true"}, {"source": "exmid", "target": "some"}, {"source": "exmid", "target": "then"}, {"source": "exmidd", "target": "excluded"}, {"source": "exmidd", "target": "middle"}, {"source": "exmidd", "target": "context"}, {"source": "pm2.1", "target": "[whiteheadrussell]"}, {"source": "pm2.1", "target": "101"}, {"source": "pm2.1", "target": "wolf"}, {"source": "pm2.1", "target": "lammen,"}, {"source": "pm2.13", "target": "[whiteheadrussell]"}, {"source": "pm2.13", "target": "101"}, {"source": "pm4.62", "target": "[whiteheadrussell]"}, {"source": "pm4.62", "target": "120"}, {"source": "pm4.66", "target": "[whiteheadrussell]"}, {"source": "pm4.66", "target": "120"}, {"source": "pm4.63", "target": "[whiteheadrussell]"}, {"source": "pm4.63", "target": "120"}, {"source": "imnan", "target": "express"}, {"source": "imnan", "target": "implication"}, {"source": "imnan", "target": "terms"}, {"source": "imnan", "target": "conjunction"}, {"source": "imnani", "target": "express"}, {"source": "imnani", "target": "implication"}, {"source": "imnani", "target": "terms"}, {"source": "imnani", "target": "conjunction"}, {"source": "iman", "target": "express"}, {"source": "iman", "target": "implication"}, {"source": "iman", "target": "terms"}, {"source": "iman", "target": "conjunction"}, {"source": "iman", "target": "[stoll]"}, {"source": "iman", "target": "wolf"}, {"source": "iman", "target": "lammen,"}, {"source": "annim", "target": "express"}, {"source": "annim", "target": "conjunction"}, {"source": "annim", "target": "terms"}, {"source": "annim", "target": "implication"}, {"source": "pm4.61", "target": "[whiteheadrussell]"}, {"source": "pm4.61", "target": "120"}, {"source": "pm4.65", "target": "[whiteheadrussell]"}, {"source": "pm4.65", "target": "120"}, {"source": "pm4.67", "target": "[whiteheadrussell]"}, {"source": "pm4.67", "target": "120"}, {"source": "imp", "target": "importation"}, {"source": "imp", "target": "inference"}, {"source": "imp", "target": "eric"}, {"source": "imp", "target": "schmidt,"}, {"source": "impcom", "target": "importation"}, {"source": "impcom", "target": "inference"}, {"source": "impcom", "target": "commuted"}, {"source": "impcom", "target": "antecedents"}, {"source": "imp3a", "target": "importation"}, {"source": "imp31", "target": "importation"}, {"source": "imp31", "target": "inference"}, {"source": "imp32", "target": "importation"}, {"source": "imp32", "target": "inference"}, {"source": "ex", "target": "exportation"}, {"source": "ex", "target": "inference"}, {"source": "ex", "target": "used"}, {"source": "ex", "target": "but"}, {"source": "ex", "target": "was"}, {"source": "ex", "target": "changed"}, {"source": "ex", "target": "so"}, {"source": "ex", "target": "metamath"}, {"source": "ex", "target": "change"}, {"source": "ex", "target": "translation"}, {"source": "ex", "target": "natural"}, {"source": "ex", "target": "rule"}, {"source": "ex", "target": "i"}, {"source": "ex", "target": "see"}, {"source": "ex", "target": "natded"}, {"source": "ex", "target": "eric"}, {"source": "ex", "target": "schmidt,"}, {"source": "expcom", "target": "exportation"}, {"source": "expcom", "target": "inference"}, {"source": "expcom", "target": "commuted"}, {"source": "expcom", "target": "antecedents"}, {"source": "exp3a", "target": "exportation"}, {"source": "expdimp", "target": "version"}, {"source": "expdimp", "target": "followed"}, {"source": "expdimp", "target": "importation"}, {"source": "impancom", "target": "mixed"}, {"source": "impancom", "target": "inference"}, {"source": "con3and", "target": "variant"}, {"source": "con3and", "target": "importation"}, {"source": "con3and", "target": "jonathan"}, {"source": "pm2.01da", "target": "based"}, {"source": "pm2.18da", "target": "based"}, {"source": "pm3.3", "target": "[whiteheadrussell]"}, {"source": "pm3.3", "target": "112"}, {"source": "pm3.3", "target": "wolf"}, {"source": "pm3.3", "target": "lammen,"}, {"source": "pm3.31", "target": "[whiteheadrussell]"}, {"source": "pm3.31", "target": "112"}, {"source": "pm3.31", "target": "wolf"}, {"source": "pm3.31", "target": "lammen,"}, {"source": "impexp", "target": "[whiteheadrussell]"}, {"source": "impexp", "target": "122"}, {"source": "impexp", "target": "wolf"}, {"source": "impexp", "target": "lammen,"}, {"source": "pm3.2", "target": "join"}, {"source": "pm3.2", "target": "antecedents"}, {"source": "pm3.2", "target": "conjunction"}, {"source": "pm3.2", "target": "[whiteheadrussell]"}, {"source": "pm3.2", "target": "111"}, {"source": "pm3.2", "target": "wolf"}, {"source": "pm3.2", "target": "lammen,"}, {"source": "pm3.21", "target": "join"}, {"source": "pm3.21", "target": "antecedents"}, {"source": "pm3.21", "target": "conjunction"}, {"source": "pm3.21", "target": "[whiteheadrussell]"}, {"source": "pm3.21", "target": "111"}, {"source": "pm3.22", "target": "[whiteheadrussell]"}, {"source": "pm3.22", "target": "111"}, {"source": "pm3.22", "target": "wolf"}, {"source": "pm3.22", "target": "lammen,"}, {"source": "ancom", "target": "commutative"}, {"source": "ancom", "target": "conjunction"}, {"source": "ancom", "target": "[whiteheadrussell]"}, {"source": "ancom", "target": "118"}, {"source": "ancom", "target": "wolf"}, {"source": "ancom", "target": "lammen,"}, {"source": "ancomd", "target": "commutation"}, {"source": "ancomd", "target": "conjuncts"}, {"source": "ancomd", "target": "consequent"}, {"source": "ancomd", "target": "hankins,"}, {"source": "ancoms", "target": "inference"}, {"source": "ancoms", "target": "commuting"}, {"source": "ancoms", "target": "conjunction"}, {"source": "ancoms", "target": "antecedent"}, {"source": "ancomsd", "target": "commuting"}, {"source": "ancomsd", "target": "conjunction"}, {"source": "ancomsd", "target": "antecedent"}, {"source": "pm3.2i", "target": "infer"}, {"source": "pm3.2i", "target": "conjunction"}, {"source": "pm3.43i", "target": "nested"}, {"source": "pm3.43i", "target": "conjunction"}, {"source": "pm3.43i", "target": "antecedents"}, {"source": "simpl", "target": "elimination"}, {"source": "simpl", "target": "conjunct"}, {"source": "simpl", "target": "[whiteheadrussell]"}, {"source": "simpl", "target": "112"}, {"source": "simpl", "target": "wolf"}, {"source": "simpl", "target": "lammen,"}, {"source": "simpli", "target": "inference"}, {"source": "simpli", "target": "eliminating"}, {"source": "simpli", "target": "conjunct"}, {"source": "simpld", "target": "eliminating"}, {"source": "simpld", "target": "conjunct"}, {"source": "simpld", "target": "translation"}, {"source": "simpld", "target": "natural"}, {"source": "simpld", "target": "rule"}, {"source": "simpld", "target": "elimination"}, {"source": "simpld", "target": "see"}, {"source": "simpld", "target": "natded"}, {"source": "simplbi", "target": "eliminating"}, {"source": "simplbi", "target": "conjunct"}, {"source": "simpr", "target": "elimination"}, {"source": "simpr", "target": "conjunct"}, {"source": "simpr", "target": "[whiteheadrussell]"}, {"source": "simpr", "target": "112"}, {"source": "simpr", "target": "wolf"}, {"source": "simpr", "target": "lammen,"}, {"source": "simpri", "target": "inference"}, {"source": "simpri", "target": "eliminating"}, {"source": "simpri", "target": "conjunct"}, {"source": "simprd", "target": "eliminating"}, {"source": "simprd", "target": "conjunct"}, {"source": "simprd", "target": "translation"}, {"source": "simprd", "target": "natural"}, {"source": "simprd", "target": "rule"}, {"source": "simprd", "target": "elimination"}, {"source": "simprd", "target": "see"}, {"source": "simprd", "target": "natded"}, {"source": "simprd", "target": "wolf"}, {"source": "simprd", "target": "lammen,"}, {"source": "simprbi", "target": "eliminating"}, {"source": "simprbi", "target": "conjunct"}, {"source": "adantr", "target": "inference"}, {"source": "adantr", "target": "adding"}, {"source": "adantr", "target": "conjunct"}, {"source": "adantr", "target": "right"}, {"source": "adantr", "target": "antecedent"}, {"source": "adantl", "target": "inference"}, {"source": "adantl", "target": "adding"}, {"source": "adantl", "target": "conjunct"}, {"source": "adantl", "target": "left"}, {"source": "adantl", "target": "antecedent"}, {"source": "adantl", "target": "wolf"}, {"source": "adantl", "target": "lammen,"}, {"source": "adantld", "target": "adding"}, {"source": "adantld", "target": "conjunct"}, {"source": "adantld", "target": "left"}, {"source": "adantld", "target": "antecedent"}, {"source": "adantld", "target": "wolf"}, {"source": "adantld", "target": "lammen,"}, {"source": "adantrd", "target": "adding"}, {"source": "adantrd", "target": "conjunct"}, {"source": "adantrd", "target": "right"}, {"source": "adantrd", "target": "antecedent"}, {"source": "mpan9", "target": "modus"}, {"source": "mpan9", "target": "ponens"}, {"source": "mpan9", "target": "conjoining"}, {"source": "mpan9", "target": "antecedents"}, {"source": "syldan", "target": "syllogism"}, {"source": "syldan", "target": "antecedents"}, {"source": "syldan", "target": "wolf"}, {"source": "syldan", "target": "lammen,"}, {"source": "sylan", "target": "syllogism"}, {"source": "sylan", "target": "inference"}, {"source": "sylan", "target": "wolf"}, {"source": "sylan", "target": "lammen,"}, {"source": "sylanb", "target": "syllogism"}, {"source": "sylanb", "target": "inference"}, {"source": "sylanbr", "target": "syllogism"}, {"source": "sylanbr", "target": "inference"}, {"source": "sylan2", "target": "syllogism"}, {"source": "sylan2", "target": "inference"}, {"source": "sylan2", "target": "wolf"}, {"source": "sylan2", "target": "lammen,"}, {"source": "sylan2b", "target": "syllogism"}, {"source": "sylan2b", "target": "inference"}, {"source": "sylan2br", "target": "syllogism"}, {"source": "sylan2br", "target": "inference"}, {"source": "syl2an", "target": "double"}, {"source": "syl2an", "target": "syllogism"}, {"source": "syl2an", "target": "inference"}, {"source": "syl2anr", "target": "double"}, {"source": "syl2anr", "target": "syllogism"}, {"source": "syl2anr", "target": "inference"}, {"source": "syl2anb", "target": "double"}, {"source": "syl2anb", "target": "syllogism"}, {"source": "syl2anb", "target": "inference"}, {"source": "syl2anbr", "target": "double"}, {"source": "syl2anbr", "target": "syllogism"}, {"source": "syl2anbr", "target": "inference"}, {"source": "syland", "target": "syllogism"}, {"source": "sylan2d", "target": "syllogism"}, {"source": "syl2and", "target": "syllogism"}, {"source": "biimpa", "target": "inference"}, {"source": "biimpa", "target": "logical"}, {"source": "biimpa", "target": "equivalence"}, {"source": "biimpar", "target": "inference"}, {"source": "biimpar", "target": "logical"}, {"source": "biimpar", "target": "equivalence"}, {"source": "biimpac", "target": "inference"}, {"source": "biimpac", "target": "logical"}, {"source": "biimpac", "target": "equivalence"}, {"source": "biimparc", "target": "inference"}, {"source": "biimparc", "target": "logical"}, {"source": "biimparc", "target": "equivalence"}, {"source": "ianor", "target": "negated"}, {"source": "ianor", "target": "conjunction"}, {"source": "ianor", "target": "terms"}, {"source": "ianor", "target": "disjunction"}, {"source": "ianor", "target": "de"}, {"source": "ianor", "target": "morgan's"}, {"source": "ianor", "target": "[whiteheadrussell]"}, {"source": "ianor", "target": "120"}, {"source": "anor", "target": "conjunction"}, {"source": "anor", "target": "terms"}, {"source": "anor", "target": "disjunction"}, {"source": "anor", "target": "de"}, {"source": "anor", "target": "morgan's"}, {"source": "anor", "target": "[whiteheadrussell]"}, {"source": "anor", "target": "120"}, {"source": "anor", "target": "wolf"}, {"source": "anor", "target": "lammen,"}, {"source": "ioran", "target": "negated"}, {"source": "ioran", "target": "disjunction"}, {"source": "ioran", "target": "terms"}, {"source": "ioran", "target": "conjunction"}, {"source": "ioran", "target": "de"}, {"source": "ioran", "target": "morgan's"}, {"source": "ioran", "target": "compare"}, {"source": "ioran", "target": "[whiteheadrussell]"}, {"source": "ioran", "target": "120"}, {"source": "pm4.52", "target": "[whiteheadrussell]"}, {"source": "pm4.52", "target": "120"}, {"source": "pm4.52", "target": "wolf"}, {"source": "pm4.52", "target": "lammen,"}, {"source": "pm4.53", "target": "[whiteheadrussell]"}, {"source": "pm4.53", "target": "120"}, {"source": "pm4.54", "target": "[whiteheadrussell]"}, {"source": "pm4.54", "target": "120"}, {"source": "pm4.54", "target": "wolf"}, {"source": "pm4.54", "target": "lammen,"}, {"source": "pm4.55", "target": "[whiteheadrussell]"}, {"source": "pm4.55", "target": "120"}, {"source": "pm4.56", "target": "[whiteheadrussell]"}, {"source": "pm4.56", "target": "120"}, {"source": "oran", "target": "disjunction"}, {"source": "oran", "target": "terms"}, {"source": "oran", "target": "conjunction"}, {"source": "oran", "target": "de"}, {"source": "oran", "target": "morgan's"}, {"source": "oran", "target": "compare"}, {"source": "oran", "target": "[whiteheadrussell]"}, {"source": "oran", "target": "120"}, {"source": "pm4.57", "target": "[whiteheadrussell]"}, {"source": "pm4.57", "target": "120"}, {"source": "pm3.1", "target": "[whiteheadrussell]"}, {"source": "pm3.1", "target": "111"}, {"source": "pm3.11", "target": "[whiteheadrussell]"}, {"source": "pm3.11", "target": "111"}, {"source": "pm3.12", "target": "[whiteheadrussell]"}, {"source": "pm3.12", "target": "111"}, {"source": "pm3.13", "target": "[whiteheadrussell]"}, {"source": "pm3.13", "target": "111"}, {"source": "pm3.14", "target": "[whiteheadrussell]"}, {"source": "pm3.14", "target": "111"}, {"source": "iba", "target": "introduction"}, {"source": "iba", "target": "antecedent"}, {"source": "iba", "target": "conjunct"}, {"source": "iba", "target": "[whiteheadrussell]"}, {"source": "iba", "target": "121"}, {"source": "ibar", "target": "introduction"}, {"source": "ibar", "target": "antecedent"}, {"source": "ibar", "target": "conjunct"}, {"source": "biantru", "target": "wff"}, {"source": "biantru", "target": "equivalent"}, {"source": "biantru", "target": "conjunction"}, {"source": "biantru", "target": "truth"}, {"source": "biantrur", "target": "wff"}, {"source": "biantrur", "target": "equivalent"}, {"source": "biantrur", "target": "conjunction"}, {"source": "biantrur", "target": "truth"}, {"source": "biantrud", "target": "wff"}, {"source": "biantrud", "target": "equivalent"}, {"source": "biantrud", "target": "conjunction"}, {"source": "biantrud", "target": "truth"}, {"source": "biantrud", "target": "wolf"}, {"source": "biantrud", "target": "lammen,"}, {"source": "biantrurd", "target": "wff"}, {"source": "biantrurd", "target": "equivalent"}, {"source": "biantrurd", "target": "conjunction"}, {"source": "biantrurd", "target": "truth"}, {"source": "jaao", "target": "inference"}, {"source": "jaao", "target": "conjoining"}, {"source": "jaao", "target": "antecedents"}, {"source": "jaao", "target": "implications"}, {"source": "jaoa", "target": "inference"}, {"source": "jaoa", "target": "conjoining"}, {"source": "jaoa", "target": "antecedents"}, {"source": "jaoa", "target": "implications"}, {"source": "jaoa", "target": "allan,"}, {"source": "pm3.44", "target": "[whiteheadrussell]"}, {"source": "pm3.44", "target": "113"}, {"source": "pm3.44", "target": "wolf"}, {"source": "pm3.44", "target": "lammen,"}, {"source": "jao", "target": "disjunction"}, {"source": "jao", "target": "antecedents"}, {"source": "jao", "target": "compare"}, {"source": "jao", "target": "[whiteheadrussell]"}, {"source": "jao", "target": "113"}, {"source": "jao", "target": "wolf"}, {"source": "jao", "target": "lammen,"}, {"source": "pm1.2", "target": "axiom"}, {"source": "pm1.2", "target": "[whiteheadrussell]"}, {"source": "pm1.2", "target": "which"}, {"source": "pm1.2", "target": "they"}, {"source": "pm1.2", "target": "call"}, {"source": "oridm", "target": "idempotent"}, {"source": "oridm", "target": "disjunction"}, {"source": "oridm", "target": "[whiteheadrussell]"}, {"source": "oridm", "target": "117"}, {"source": "oridm", "target": "wolf"}, {"source": "oridm", "target": "lammen,"}, {"source": "pm4.25", "target": "[whiteheadrussell]"}, {"source": "pm4.25", "target": "117"}, {"source": "orim12i", "target": "antecedents"}, {"source": "orim12i", "target": "consequents"}, {"source": "orim12i", "target": "wolf"}, {"source": "orim12i", "target": "lammen,"}, {"source": "orim1i", "target": "introduce"}, {"source": "orim1i", "target": "disjunct"}, {"source": "orim1i", "target": "both"}, {"source": "orim1i", "target": "sides"}, {"source": "orim1i", "target": "implication"}, {"source": "orim2i", "target": "introduce"}, {"source": "orim2i", "target": "disjunct"}, {"source": "orim2i", "target": "both"}, {"source": "orim2i", "target": "sides"}, {"source": "orim2i", "target": "implication"}, {"source": "orbi2i", "target": "inference"}, {"source": "orbi2i", "target": "adding"}, {"source": "orbi2i", "target": "left"}, {"source": "orbi2i", "target": "disjunct"}, {"source": "orbi2i", "target": "both"}, {"source": "orbi2i", "target": "sides"}, {"source": "orbi2i", "target": "logical"}, {"source": "orbi2i", "target": "equivalence"}, {"source": "orbi2i", "target": "wolf"}, {"source": "orbi2i", "target": "lammen,"}, {"source": "orbi1i", "target": "inference"}, {"source": "orbi1i", "target": "adding"}, {"source": "orbi1i", "target": "right"}, {"source": "orbi1i", "target": "disjunct"}, {"source": "orbi1i", "target": "both"}, {"source": "orbi1i", "target": "sides"}, {"source": "orbi1i", "target": "logical"}, {"source": "orbi1i", "target": "equivalence"}, {"source": "orbi12i", "target": "infer"}, {"source": "orbi12i", "target": "disjunction"}, {"source": "orbi12i", "target": "equivalences"}, {"source": "pm1.5", "target": "axiom"}, {"source": "pm1.5", "target": "[whiteheadrussell]"}, {"source": "pm1.5", "target": "96"}, {"source": "or12", "target": "swap"}, {"source": "or12", "target": "wolf"}, {"source": "or12", "target": "lammen,"}, {"source": "orass", "target": "associative"}, {"source": "orass", "target": "disjunction"}, {"source": "orass", "target": "[whiteheadrussell]"}, {"source": "orass", "target": "118"}, {"source": "pm2.31", "target": "[whiteheadrussell]"}, {"source": "pm2.31", "target": "104"}, {"source": "pm2.32", "target": "[whiteheadrussell]"}, {"source": "pm2.32", "target": "105"}, {"source": "or32", "target": "rearrangement"}, {"source": "or4", "target": "rearrangement"}, {"source": "or4", "target": "4"}, {"source": "or42", "target": "rearrangement"}, {"source": "or42", "target": "4"}, {"source": "orordi", "target": "distribution"}, {"source": "orordi", "target": "disjunction"}, {"source": "orordi", "target": "over"}, {"source": "orordi", "target": "disjunction"}, {"source": "orordir", "target": "distribution"}, {"source": "orordir", "target": "disjunction"}, {"source": "orordir", "target": "over"}, {"source": "orordir", "target": "disjunction"}, {"source": "jca", "target": "deduce"}, {"source": "jca", "target": "conjunction"}, {"source": "jca", "target": "consequents"}, {"source": "jca", "target": "implications"}, {"source": "jca", "target": "consequents"}, {"source": "jca", "target": "equivalent"}, {"source": "jca", "target": "natural"}, {"source": "jca", "target": "rule"}, {"source": "jca", "target": "i"}, {"source": "jca", "target": "see"}, {"source": "jca", "target": "natded"}, {"source": "jca", "target": "wolf"}, {"source": "jca", "target": "lammen,"}, {"source": "jcad", "target": "conjoining"}, {"source": "jcad", "target": "consequents"}, {"source": "jcad", "target": "implications"}, {"source": "jcad", "target": "wolf"}, {"source": "jcad", "target": "lammen,"}, {"source": "jca31", "target": "join"}, {"source": "jca31", "target": "three"}, {"source": "jca31", "target": "consequents"}, {"source": "jca31", "target": "hankins,"}, {"source": "jca32", "target": "join"}, {"source": "jca32", "target": "three"}, {"source": "jca32", "target": "consequents"}, {"source": "jca32", "target": "fl,"}, {"source": "jcai", "target": "replacing"}, {"source": "jcai", "target": "implication"}, {"source": "jcai", "target": "conjunction"}, {"source": "jctil", "target": "inference"}, {"source": "jctil", "target": "conjoining"}, {"source": "jctil", "target": "left"}, {"source": "jctil", "target": "consequent"}, {"source": "jctil", "target": "implication"}, {"source": "jctir", "target": "inference"}, {"source": "jctir", "target": "conjoining"}, {"source": "jctir", "target": "right"}, {"source": "jctir", "target": "consequent"}, {"source": "jctir", "target": "implication"}, {"source": "jctl", "target": "inference"}, {"source": "jctl", "target": "conjoining"}, {"source": "jctl", "target": "left"}, {"source": "jctl", "target": "consequent"}, {"source": "jctl", "target": "wolf"}, {"source": "jctl", "target": "lammen,"}, {"source": "jctr", "target": "inference"}, {"source": "jctr", "target": "conjoining"}, {"source": "jctr", "target": "right"}, {"source": "jctr", "target": "consequent"}, {"source": "jctr", "target": "wolf"}, {"source": "jctr", "target": "lammen,"}, {"source": "jctild", "target": "conjoining"}, {"source": "jctild", "target": "left"}, {"source": "jctild", "target": "consequent"}, {"source": "jctild", "target": "implication"}, {"source": "jctird", "target": "conjoining"}, {"source": "jctird", "target": "right"}, {"source": "jctird", "target": "consequent"}, {"source": "jctird", "target": "implication"}, {"source": "ancl", "target": "conjoin"}, {"source": "ancl", "target": "antecedent"}, {"source": "ancl", "target": "left"}, {"source": "ancl", "target": "consequent"}, {"source": "anclb", "target": "conjoin"}, {"source": "anclb", "target": "antecedent"}, {"source": "anclb", "target": "left"}, {"source": "anclb", "target": "consequent"}, {"source": "anclb", "target": "[whiteheadrussell]"}, {"source": "anclb", "target": "120"}, {"source": "anclb", "target": "wolf"}, {"source": "anclb", "target": "lammen,"}, {"source": "pm5.42", "target": "[whiteheadrussell]"}, {"source": "pm5.42", "target": "125"}, {"source": "ancr", "target": "conjoin"}, {"source": "ancr", "target": "antecedent"}, {"source": "ancr", "target": "right"}, {"source": "ancr", "target": "consequent"}, {"source": "ancrb", "target": "conjoin"}, {"source": "ancrb", "target": "antecedent"}, {"source": "ancrb", "target": "right"}, {"source": "ancrb", "target": "consequent"}, {"source": "ancrb", "target": "wolf"}, {"source": "ancrb", "target": "lammen,"}, {"source": "ancli", "target": "conjoining"}, {"source": "ancli", "target": "antecedent"}, {"source": "ancli", "target": "left"}, {"source": "ancli", "target": "consequent"}, {"source": "ancri", "target": "conjoining"}, {"source": "ancri", "target": "antecedent"}, {"source": "ancri", "target": "right"}, {"source": "ancri", "target": "consequent"}, {"source": "ancld", "target": "conjoining"}, {"source": "ancld", "target": "antecedent"}, {"source": "ancld", "target": "left"}, {"source": "ancld", "target": "consequent"}, {"source": "ancld", "target": "nested"}, {"source": "ancld", "target": "implication"}, {"source": "ancld", "target": "wolf"}, {"source": "ancld", "target": "lammen,"}, {"source": "ancrd", "target": "conjoining"}, {"source": "ancrd", "target": "antecedent"}, {"source": "ancrd", "target": "right"}, {"source": "ancrd", "target": "consequent"}, {"source": "ancrd", "target": "nested"}, {"source": "ancrd", "target": "implication"}, {"source": "ancrd", "target": "wolf"}, {"source": "ancrd", "target": "lammen,"}, {"source": "anc2l", "target": "conjoin"}, {"source": "anc2l", "target": "antecedent"}, {"source": "anc2l", "target": "left"}, {"source": "anc2l", "target": "consequent"}, {"source": "anc2l", "target": "nested"}, {"source": "anc2l", "target": "implication"}, {"source": "anc2l", "target": "wolf"}, {"source": "anc2l", "target": "lammen,"}, {"source": "anc2r", "target": "conjoin"}, {"source": "anc2r", "target": "antecedent"}, {"source": "anc2r", "target": "right"}, {"source": "anc2r", "target": "consequent"}, {"source": "anc2r", "target": "nested"}, {"source": "anc2r", "target": "implication"}, {"source": "anc2li", "target": "conjoining"}, {"source": "anc2li", "target": "antecedent"}, {"source": "anc2li", "target": "left"}, {"source": "anc2li", "target": "consequent"}, {"source": "anc2li", "target": "nested"}, {"source": "anc2li", "target": "implication"}, {"source": "anc2li", "target": "wolf"}, {"source": "anc2li", "target": "lammen,"}, {"source": "anc2ri", "target": "conjoining"}, {"source": "anc2ri", "target": "antecedent"}, {"source": "anc2ri", "target": "right"}, {"source": "anc2ri", "target": "consequent"}, {"source": "anc2ri", "target": "nested"}, {"source": "anc2ri", "target": "implication"}, {"source": "anc2ri", "target": "wolf"}, {"source": "anc2ri", "target": "lammen,"}, {"source": "pm3.41", "target": "[whiteheadrussell]"}, {"source": "pm3.41", "target": "113"}, {"source": "pm3.42", "target": "[whiteheadrussell]"}, {"source": "pm3.42", "target": "113"}, {"source": "pm3.4", "target": "conjunction"}, {"source": "pm3.4", "target": "implies"}, {"source": "pm3.4", "target": "implication"}, {"source": "pm3.4", "target": "[whiteheadrussell]"}, {"source": "pm3.4", "target": "113"}, {"source": "pm4.45im", "target": "conjunction"}, {"source": "pm4.45im", "target": "implication"}, {"source": "pm4.45im", "target": "compare"}, {"source": "pm4.45im", "target": "[whiteheadrussell]"}, {"source": "pm4.45im", "target": "119"}, {"source": "anim12d", "target": "conjoin"}, {"source": "anim12d", "target": "antecedents"}, {"source": "anim12d", "target": "consequents"}, {"source": "anim12d", "target": "wolf"}, {"source": "anim12d", "target": "lammen,"}, {"source": "anim1d", "target": "add"}, {"source": "anim1d", "target": "conjunct"}, {"source": "anim1d", "target": "right"}, {"source": "anim1d", "target": "antecedent"}, {"source": "anim1d", "target": "consequent"}, {"source": "anim2d", "target": "add"}, {"source": "anim2d", "target": "conjunct"}, {"source": "anim2d", "target": "left"}, {"source": "anim2d", "target": "antecedent"}, {"source": "anim2d", "target": "consequent"}, {"source": "anim12i", "target": "conjoin"}, {"source": "anim12i", "target": "antecedents"}, {"source": "anim12i", "target": "consequents"}, {"source": "anim12i", "target": "wolf"}, {"source": "anim12i", "target": "lammen,"}, {"source": "anim12ci", "target": "variant"}, {"source": "anim12ci", "target": "commutation"}, {"source": "anim12ci", "target": "jonathan"}, {"source": "anim1i", "target": "introduce"}, {"source": "anim1i", "target": "conjunct"}, {"source": "anim1i", "target": "both"}, {"source": "anim1i", "target": "sides"}, {"source": "anim1i", "target": "implication"}, {"source": "anim2i", "target": "introduce"}, {"source": "anim2i", "target": "conjunct"}, {"source": "anim2i", "target": "both"}, {"source": "anim2i", "target": "sides"}, {"source": "anim2i", "target": "implication"}, {"source": "anim12ii", "target": "conjoin"}, {"source": "anim12ii", "target": "antecedents"}, {"source": "anim12ii", "target": "consequents"}, {"source": "anim12ii", "target": "wolf"}, {"source": "anim12ii", "target": "lammen,"}, {"source": "prth", "target": "conjoin"}, {"source": "prth", "target": "antecedents"}, {"source": "prth", "target": "consequents"}, {"source": "prth", "target": "closed"}, {"source": "prth", "target": "form"}, {"source": "prth", "target": "[whiteheadrussell]"}, {"source": "prth", "target": "113"}, {"source": "prth", "target": "was"}, {"source": "prth", "target": "proved"}, {"source": "prth", "target": "enough"}, {"source": "prth", "target": "call"}, {"source": "prth", "target": "wolf"}, {"source": "prth", "target": "lammen,"}, {"source": "pm2.3", "target": "[whiteheadrussell]"}, {"source": "pm2.3", "target": "104"}, {"source": "pm2.41", "target": "[whiteheadrussell]"}, {"source": "pm2.41", "target": "106"}, {"source": "pm2.42", "target": "[whiteheadrussell]"}, {"source": "pm2.42", "target": "106"}, {"source": "pm2.4", "target": "[whiteheadrussell]"}, {"source": "pm2.4", "target": "106"}, {"source": "pm2.65da", "target": "rule"}, {"source": "pm2.65da", "target": "contradiction"}, {"source": "pm4.44", "target": "[whiteheadrussell]"}, {"source": "pm4.44", "target": "119"}, {"source": "pm4.14", "target": "[whiteheadrussell]"}, {"source": "pm4.14", "target": "117"}, {"source": "pm4.14", "target": "wolf"}, {"source": "pm4.14", "target": "lammen,"}, {"source": "pm3.37", "target": "[whiteheadrussell]"}, {"source": "pm3.37", "target": "112"}, {"source": "pm3.37", "target": "wolf"}, {"source": "pm3.37", "target": "lammen,"}, {"source": "nan", "target": "move"}, {"source": "nan", "target": "conjunct"}, {"source": "nan", "target": "out"}, {"source": "nan", "target": "negation"}, {"source": "pm4.15", "target": "[whiteheadrussell]"}, {"source": "pm4.15", "target": "117"}, {"source": "pm4.15", "target": "wolf"}, {"source": "pm4.15", "target": "lammen,"}, {"source": "pm4.78", "target": "implication"}, {"source": "pm4.78", "target": "distributes"}, {"source": "pm4.78", "target": "over"}, {"source": "pm4.78", "target": "disjunction"}, {"source": "pm4.78", "target": "[whiteheadrussell]"}, {"source": "pm4.78", "target": "121"}, {"source": "pm4.78", "target": "wolf"}, {"source": "pm4.78", "target": "lammen,"}, {"source": "pm4.79", "target": "[whiteheadrussell]"}, {"source": "pm4.79", "target": "121"}, {"source": "pm4.79", "target": "wolf"}, {"source": "pm4.79", "target": "lammen,"}, {"source": "pm4.87", "target": "[whiteheadrussell]"}, {"source": "pm4.87", "target": "122"}, {"source": "pm4.87", "target": "eric"}, {"source": "pm4.87", "target": "schmidt,"}, {"source": "pm3.33", "target": "[whiteheadrussell]"}, {"source": "pm3.33", "target": "112"}, {"source": "pm3.34", "target": "[whiteheadrussell]"}, {"source": "pm3.34", "target": "112"}, {"source": "pm3.35", "target": "[whiteheadrussell]"}, {"source": "pm3.35", "target": "112"}, {"source": "pm5.31", "target": "[whiteheadrussell]"}, {"source": "pm5.31", "target": "125"}, {"source": "imp4a", "target": "importation"}, {"source": "imp4a", "target": "inference"}, {"source": "imp4b", "target": "importation"}, {"source": "imp4b", "target": "inference"}, {"source": "imp4c", "target": "importation"}, {"source": "imp4c", "target": "inference"}, {"source": "imp4d", "target": "importation"}, {"source": "imp4d", "target": "inference"}, {"source": "imp41", "target": "importation"}, {"source": "imp41", "target": "inference"}, {"source": "imp42", "target": "importation"}, {"source": "imp42", "target": "inference"}, {"source": "imp43", "target": "importation"}, {"source": "imp43", "target": "inference"}, {"source": "imp44", "target": "importation"}, {"source": "imp44", "target": "inference"}, {"source": "imp45", "target": "importation"}, {"source": "imp45", "target": "inference"}, {"source": "imp5a", "target": "importation"}, {"source": "imp5a", "target": "inference"}, {"source": "imp5a", "target": "hankins,"}, {"source": "imp5d", "target": "importation"}, {"source": "imp5d", "target": "inference"}, {"source": "imp5d", "target": "hankins,"}, {"source": "imp5g", "target": "importation"}, {"source": "imp5g", "target": "inference"}, {"source": "imp5g", "target": "hankins,"}, {"source": "imp55", "target": "importation"}, {"source": "imp55", "target": "inference"}, {"source": "imp55", "target": "hankins,"}, {"source": "imp511", "target": "importation"}, {"source": "imp511", "target": "inference"}, {"source": "imp511", "target": "hankins,"}, {"source": "expimpd", "target": "exportation"}, {"source": "expimpd", "target": "followed"}, {"source": "expimpd", "target": "version"}, {"source": "expimpd", "target": "importation"}, {"source": "exp31", "target": "exportation"}, {"source": "exp31", "target": "inference"}, {"source": "exp32", "target": "exportation"}, {"source": "exp32", "target": "inference"}, {"source": "exp4a", "target": "exportation"}, {"source": "exp4a", "target": "inference"}, {"source": "exp4b", "target": "exportation"}, {"source": "exp4b", "target": "inference"}, {"source": "exp4b", "target": "wolf"}, {"source": "exp4b", "target": "lammen,"}, {"source": "exp4c", "target": "exportation"}, {"source": "exp4c", "target": "inference"}, {"source": "exp4d", "target": "exportation"}, {"source": "exp4d", "target": "inference"}, {"source": "exp41", "target": "exportation"}, {"source": "exp41", "target": "inference"}, {"source": "exp42", "target": "exportation"}, {"source": "exp42", "target": "inference"}, {"source": "exp43", "target": "exportation"}, {"source": "exp43", "target": "inference"}, {"source": "exp44", "target": "exportation"}, {"source": "exp44", "target": "inference"}, {"source": "exp45", "target": "exportation"}, {"source": "exp45", "target": "inference"}, {"source": "expr", "target": "wff"}, {"source": "expr", "target": "right"}, {"source": "expr", "target": "conjunct"}, {"source": "expr", "target": "hankins,"}, {"source": "exp5c", "target": "exportation"}, {"source": "exp5c", "target": "inference"}, {"source": "exp5c", "target": "hankins,"}, {"source": "exp53", "target": "exportation"}, {"source": "exp53", "target": "inference"}, {"source": "exp53", "target": "hankins,"}, {"source": "expl", "target": "wff"}, {"source": "expl", "target": "left"}, {"source": "expl", "target": "conjunct"}, {"source": "expl", "target": "hankins,"}, {"source": "impr", "target": "wff"}, {"source": "impr", "target": "into"}, {"source": "impr", "target": "right"}, {"source": "impr", "target": "conjunct"}, {"source": "impr", "target": "hankins,"}, {"source": "impl", "target": "wff"}, {"source": "impl", "target": "left"}, {"source": "impl", "target": "conjunct"}, {"source": "impac", "target": "importation"}, {"source": "impac", "target": "conjunction"}, {"source": "impac", "target": "consequent"}, {"source": "exbiri", "target": "inference"}, {"source": "exbiri", "target": "form"}, {"source": "exbiri", "target": "automatically"}, {"source": "exbiri", "target": "translated"}, {"source": "exbiri", "target": "minimized"}, {"source": "exbiri", "target": "alan"}, {"source": "exbiri", "target": "sare,"}, {"source": "exbiri", "target": "wolf"}, {"source": "exbiri", "target": "lammen,"}, {"source": "simprbda", "target": "eliminating"}, {"source": "simprbda", "target": "conjunct"}, {"source": "simplbda", "target": "eliminating"}, {"source": "simplbda", "target": "conjunct"}, {"source": "simplbi2", "target": "eliminating"}, {"source": "simplbi2", "target": "conjunct"}, {"source": "simplbi2", "target": "automatically"}, {"source": "simplbi2", "target": "derived"}, {"source": "simplbi2", "target": "alan"}, {"source": "simplbi2", "target": "sare,"}, {"source": "dfbi2", "target": "similar"}, {"source": "dfbi2", "target": "standard"}, {"source": "dfbi2", "target": "definition"}, {"source": "dfbi2", "target": "biconditional"}, {"source": "dfbi2", "target": "definition"}, {"source": "dfbi2", "target": "[margaris]"}, {"source": "dfbi2", "target": "49"}, {"source": "dfbi", "target": "definition"}, {"source": "dfbi", "target": "form"}, {"source": "dfbi", "target": "help"}, {"source": "dfbi", "target": "definition"}, {"source": "dfbi", "target": "note"}, {"source": "dfbi", "target": "conjunction"}, {"source": "dfbi", "target": "one"}, {"source": "dfbi", "target": "which"}, {"source": "dfbi", "target": "properties"}, {"source": "dfbi", "target": "follow"}, {"source": "dfbi", "target": "biconditional"}, {"source": "dfbi", "target": "one"}, {"source": "dfbi", "target": "which"}, {"source": "dfbi", "target": "properties"}, {"source": "dfbi", "target": "imply"}, {"source": "dfbi", "target": "biconditional"}, {"source": "pm4.71", "target": "implication"}, {"source": "pm4.71", "target": "terms"}, {"source": "pm4.71", "target": "biconditional"}, {"source": "pm4.71", "target": "conjunction"}, {"source": "pm4.71", "target": "[whiteheadrussell]"}, {"source": "pm4.71", "target": "120"}, {"source": "pm4.71", "target": "wolf"}, {"source": "pm4.71", "target": "lammen,"}, {"source": "pm4.71r", "target": "implication"}, {"source": "pm4.71r", "target": "terms"}, {"source": "pm4.71r", "target": "biconditional"}, {"source": "pm4.71r", "target": "conjunction"}, {"source": "pm4.71r", "target": "[whiteheadrussell]"}, {"source": "pm4.71r", "target": "120"}, {"source": "pm4.71r", "target": "conjunct"}, {"source": "pm4.71r", "target": "reversed"}, {"source": "pm4.71i", "target": "inference"}, {"source": "pm4.71i", "target": "converting"}, {"source": "pm4.71i", "target": "implication"}, {"source": "pm4.71i", "target": "biconditional"}, {"source": "pm4.71i", "target": "conjunction"}, {"source": "pm4.71i", "target": "inference"}, {"source": "pm4.71i", "target": "[whiteheadrussell]"}, {"source": "pm4.71i", "target": "120"}, {"source": "pm4.71ri", "target": "inference"}, {"source": "pm4.71ri", "target": "converting"}, {"source": "pm4.71ri", "target": "implication"}, {"source": "pm4.71ri", "target": "biconditional"}, {"source": "pm4.71ri", "target": "conjunction"}, {"source": "pm4.71ri", "target": "inference"}, {"source": "pm4.71ri", "target": "[whiteheadrussell]"}, {"source": "pm4.71ri", "target": "120"}, {"source": "pm4.71ri", "target": "conjunct"}, {"source": "pm4.71ri", "target": "reversed"}, {"source": "pm4.71d", "target": "converting"}, {"source": "pm4.71d", "target": "implication"}, {"source": "pm4.71d", "target": "biconditional"}, {"source": "pm4.71d", "target": "conjunction"}, {"source": "pm4.71d", "target": "[whiteheadrussell]"}, {"source": "pm4.71d", "target": "120"}, {"source": "pm4.71rd", "target": "converting"}, {"source": "pm4.71rd", "target": "implication"}, {"source": "pm4.71rd", "target": "biconditional"}, {"source": "pm4.71rd", "target": "conjunction"}, {"source": "pm4.71rd", "target": "[whiteheadrussell]"}, {"source": "pm4.71rd", "target": "120"}, {"source": "pm5.32", "target": "distribution"}, {"source": "pm5.32", "target": "implication"}, {"source": "pm5.32", "target": "over"}, {"source": "pm5.32", "target": "biconditional"}, {"source": "pm5.32", "target": "[whiteheadrussell]"}, {"source": "pm5.32", "target": "125"}, {"source": "pm5.32i", "target": "distribution"}, {"source": "pm5.32i", "target": "implication"}, {"source": "pm5.32i", "target": "over"}, {"source": "pm5.32i", "target": "biconditional"}, {"source": "pm5.32i", "target": "inference"}, {"source": "pm5.32i", "target": "rule"}, {"source": "pm5.32ri", "target": "distribution"}, {"source": "pm5.32ri", "target": "implication"}, {"source": "pm5.32ri", "target": "over"}, {"source": "pm5.32ri", "target": "biconditional"}, {"source": "pm5.32ri", "target": "inference"}, {"source": "pm5.32ri", "target": "rule"}, {"source": "pm5.32d", "target": "distribution"}, {"source": "pm5.32d", "target": "implication"}, {"source": "pm5.32d", "target": "over"}, {"source": "pm5.32d", "target": "biconditional"}, {"source": "pm5.32d", "target": "rule"}, {"source": "pm5.32rd", "target": "distribution"}, {"source": "pm5.32rd", "target": "implication"}, {"source": "pm5.32rd", "target": "over"}, {"source": "pm5.32rd", "target": "biconditional"}, {"source": "pm5.32rd", "target": "rule"}, {"source": "pm5.32da", "target": "distribution"}, {"source": "pm5.32da", "target": "implication"}, {"source": "pm5.32da", "target": "over"}, {"source": "pm5.32da", "target": "biconditional"}, {"source": "pm5.32da", "target": "rule"}, {"source": "biadan2", "target": "add"}, {"source": "biadan2", "target": "conjunction"}, {"source": "biadan2", "target": "equivalence"}, {"source": "biadan2", "target": "madsen,"}, {"source": "pm4.24", "target": "[whiteheadrussell]"}, {"source": "pm4.24", "target": "117"}, {"source": "anidm", "target": "idempotent"}, {"source": "anidm", "target": "conjunction"}, {"source": "anidm", "target": "wolf"}, {"source": "anidm", "target": "lammen,"}, {"source": "anidms", "target": "inference"}, {"source": "anidms", "target": "idempotent"}, {"source": "anidms", "target": "conjunction"}, {"source": "anidmdbi", "target": "conjunction"}, {"source": "anidmdbi", "target": "antecedent"}, {"source": "anasss", "target": "associative"}, {"source": "anasss", "target": "conjunction"}, {"source": "anasss", "target": "applied"}, {"source": "anasss", "target": "antecedent"}, {"source": "anasss", "target": "eliminates"}, {"source": "anasss", "target": "syllogism"}, {"source": "anassrs", "target": "associative"}, {"source": "anassrs", "target": "conjunction"}, {"source": "anassrs", "target": "applied"}, {"source": "anassrs", "target": "antecedent"}, {"source": "anassrs", "target": "eliminates"}, {"source": "anassrs", "target": "syllogism"}, {"source": "anass", "target": "associative"}, {"source": "anass", "target": "conjunction"}, {"source": "anass", "target": "[whiteheadrussell]"}, {"source": "anass", "target": "118"}, {"source": "anass", "target": "wolf"}, {"source": "anass", "target": "lammen,"}, {"source": "sylanl1", "target": "syllogism"}, {"source": "sylanl1", "target": "inference"}, {"source": "sylanl2", "target": "syllogism"}, {"source": "sylanl2", "target": "inference"}, {"source": "sylanr1", "target": "syllogism"}, {"source": "sylanr1", "target": "inference"}, {"source": "sylanr2", "target": "syllogism"}, {"source": "sylanr2", "target": "inference"}, {"source": "sylani", "target": "syllogism"}, {"source": "sylani", "target": "inference"}, {"source": "sylan2i", "target": "syllogism"}, {"source": "sylan2i", "target": "inference"}, {"source": "syl2ani", "target": "syllogism"}, {"source": "syl2ani", "target": "inference"}, {"source": "sylan9", "target": "nested"}, {"source": "sylan9", "target": "syllogism"}, {"source": "sylan9", "target": "inference"}, {"source": "sylan9", "target": "conjoining"}, {"source": "sylan9", "target": "antecedents"}, {"source": "sylan9r", "target": "nested"}, {"source": "sylan9r", "target": "syllogism"}, {"source": "sylan9r", "target": "inference"}, {"source": "sylan9r", "target": "conjoining"}, {"source": "sylan9r", "target": "antecedents"}, {"source": "mtand", "target": "modus"}, {"source": "mtand", "target": "tollens"}, {"source": "mtand", "target": "hankins,"}, {"source": "mtord", "target": "modus"}, {"source": "mtord", "target": "tollens"}, {"source": "mtord", "target": "involving"}, {"source": "mtord", "target": "disjunction"}, {"source": "mtord", "target": "hankins,"}, {"source": "syl2anc", "target": "syllogism"}, {"source": "syl2anc", "target": "inference"}, {"source": "syl2anc", "target": "combined"}, {"source": "syl2anc", "target": "contraction"}, {"source": "sylancl", "target": "syllogism"}, {"source": "sylancl", "target": "inference"}, {"source": "sylancl", "target": "combined"}, {"source": "sylancl", "target": "modus"}, {"source": "sylancl", "target": "ponens"}, {"source": "sylancl", "target": "madsen,"}, {"source": "sylancr", "target": "syllogism"}, {"source": "sylancr", "target": "inference"}, {"source": "sylancr", "target": "combined"}, {"source": "sylancr", "target": "modus"}, {"source": "sylancr", "target": "ponens"}, {"source": "sylancr", "target": "madsen,"}, {"source": "sylanbrc", "target": "syllogism"}, {"source": "sylanbrc", "target": "inference"}, {"source": "sylanbrc", "target": "madsen,"}, {"source": "sylancb", "target": "syllogism"}, {"source": "sylancb", "target": "inference"}, {"source": "sylancb", "target": "combined"}, {"source": "sylancb", "target": "contraction"}, {"source": "sylancbr", "target": "syllogism"}, {"source": "sylancbr", "target": "inference"}, {"source": "sylancbr", "target": "combined"}, {"source": "sylancbr", "target": "contraction"}, {"source": "sylancom", "target": "syllogism"}, {"source": "sylancom", "target": "inference"}, {"source": "sylancom", "target": "commutation"}, {"source": "sylancom", "target": "antecedents"}, {"source": "mpdan", "target": "inference"}, {"source": "mpdan", "target": "based"}, {"source": "mpdan", "target": "modus"}, {"source": "mpdan", "target": "ponens"}, {"source": "mpdan", "target": "wolf"}, {"source": "mpdan", "target": "lammen,"}, {"source": "mpancom", "target": "inference"}, {"source": "mpancom", "target": "based"}, {"source": "mpancom", "target": "modus"}, {"source": "mpancom", "target": "ponens"}, {"source": "mpancom", "target": "commutation"}, {"source": "mpancom", "target": "antecedents"}, {"source": "mpancom", "target": "wolf"}, {"source": "mpancom", "target": "lammen,"}, {"source": "mpan", "target": "inference"}, {"source": "mpan", "target": "based"}, {"source": "mpan", "target": "modus"}, {"source": "mpan", "target": "ponens"}, {"source": "mpan", "target": "wolf"}, {"source": "mpan", "target": "lammen,"}, {"source": "mpan2", "target": "inference"}, {"source": "mpan2", "target": "based"}, {"source": "mpan2", "target": "modus"}, {"source": "mpan2", "target": "ponens"}, {"source": "mpan2", "target": "wolf"}, {"source": "mpan2", "target": "lammen,"}, {"source": "mp2an", "target": "inference"}, {"source": "mp2an", "target": "based"}, {"source": "mp2an", "target": "modus"}, {"source": "mp2an", "target": "ponens"}, {"source": "mp4an", "target": "inference"}, {"source": "mp4an", "target": "based"}, {"source": "mp4an", "target": "modus"}, {"source": "mp4an", "target": "ponens"}, {"source": "mp4an", "target": "madsen,"}, {"source": "mpan2d", "target": "based"}, {"source": "mpan2d", "target": "modus"}, {"source": "mpan2d", "target": "ponens"}, {"source": "mpand", "target": "based"}, {"source": "mpand", "target": "modus"}, {"source": "mpand", "target": "ponens"}, {"source": "mpand", "target": "wolf"}, {"source": "mpand", "target": "lammen,"}, {"source": "mpani", "target": "inference"}, {"source": "mpani", "target": "based"}, {"source": "mpani", "target": "modus"}, {"source": "mpani", "target": "ponens"}, {"source": "mpani", "target": "wolf"}, {"source": "mpani", "target": "lammen,"}, {"source": "mpan2i", "target": "inference"}, {"source": "mpan2i", "target": "based"}, {"source": "mpan2i", "target": "modus"}, {"source": "mpan2i", "target": "ponens"}, {"source": "mpan2i", "target": "wolf"}, {"source": "mpan2i", "target": "lammen,"}, {"source": "mp2ani", "target": "inference"}, {"source": "mp2ani", "target": "based"}, {"source": "mp2ani", "target": "modus"}, {"source": "mp2ani", "target": "ponens"}, {"source": "mp2and", "target": "based"}, {"source": "mp2and", "target": "modus"}, {"source": "mp2and", "target": "ponens"}, {"source": "mpanl1", "target": "inference"}, {"source": "mpanl1", "target": "based"}, {"source": "mpanl1", "target": "modus"}, {"source": "mpanl1", "target": "ponens"}, {"source": "mpanl1", "target": "wolf"}, {"source": "mpanl1", "target": "lammen,"}, {"source": "mpanl2", "target": "inference"}, {"source": "mpanl2", "target": "based"}, {"source": "mpanl2", "target": "modus"}, {"source": "mpanl2", "target": "ponens"}, {"source": "mpanl12", "target": "inference"}, {"source": "mpanl12", "target": "based"}, {"source": "mpanl12", "target": "modus"}, {"source": "mpanl12", "target": "ponens"}, {"source": "mpanr1", "target": "inference"}, {"source": "mpanr1", "target": "based"}, {"source": "mpanr1", "target": "modus"}, {"source": "mpanr1", "target": "ponens"}, {"source": "mpanr2", "target": "inference"}, {"source": "mpanr2", "target": "based"}, {"source": "mpanr2", "target": "modus"}, {"source": "mpanr2", "target": "ponens"}, {"source": "mpanr2", "target": "wolf"}, {"source": "mpanr2", "target": "lammen,"}, {"source": "mpanr12", "target": "inference"}, {"source": "mpanr12", "target": "based"}, {"source": "mpanr12", "target": "modus"}, {"source": "mpanr12", "target": "ponens"}, {"source": "mpanlr1", "target": "inference"}, {"source": "mpanlr1", "target": "based"}, {"source": "mpanlr1", "target": "modus"}, {"source": "mpanlr1", "target": "ponens"}, {"source": "mpanlr1", "target": "wolf"}, {"source": "mpanlr1", "target": "lammen,"}, {"source": "pm5.74da", "target": "distribution"}, {"source": "pm5.74da", "target": "implication"}, {"source": "pm5.74da", "target": "over"}, {"source": "pm5.74da", "target": "biconditional"}, {"source": "pm5.74da", "target": "rule"}, {"source": "pm4.45", "target": "[whiteheadrussell]"}, {"source": "pm4.45", "target": "119"}, {"source": "imdistan", "target": "distribution"}, {"source": "imdistan", "target": "implication"}, {"source": "imdistan", "target": "conjunction"}, {"source": "imdistan", "target": "wolf"}, {"source": "imdistan", "target": "lammen,"}, {"source": "imdistani", "target": "distribution"}, {"source": "imdistani", "target": "implication"}, {"source": "imdistani", "target": "conjunction"}, {"source": "imdistanri", "target": "distribution"}, {"source": "imdistanri", "target": "implication"}, {"source": "imdistanri", "target": "conjunction"}, {"source": "imdistand", "target": "distribution"}, {"source": "imdistand", "target": "implication"}, {"source": "imdistand", "target": "conjunction"}, {"source": "imdistand", "target": "rule"}, {"source": "imdistanda", "target": "distribution"}, {"source": "imdistanda", "target": "implication"}, {"source": "imdistanda", "target": "conjunction"}, {"source": "imdistanda", "target": "version"}, {"source": "imdistanda", "target": "antecedent"}, {"source": "imdistanda", "target": "madsen,"}, {"source": "anbi2i", "target": "introduce"}, {"source": "anbi2i", "target": "left"}, {"source": "anbi2i", "target": "conjunct"}, {"source": "anbi2i", "target": "both"}, {"source": "anbi2i", "target": "sides"}, {"source": "anbi2i", "target": "logical"}, {"source": "anbi2i", "target": "equivalence"}, {"source": "anbi2i", "target": "wolf"}, {"source": "anbi2i", "target": "lammen,"}, {"source": "anbi1i", "target": "introduce"}, {"source": "anbi1i", "target": "right"}, {"source": "anbi1i", "target": "conjunct"}, {"source": "anbi1i", "target": "both"}, {"source": "anbi1i", "target": "sides"}, {"source": "anbi1i", "target": "logical"}, {"source": "anbi1i", "target": "equivalence"}, {"source": "anbi1i", "target": "wolf"}, {"source": "anbi1i", "target": "lammen,"}, {"source": "anbi2ci", "target": "variant"}, {"source": "anbi2ci", "target": "commutation"}, {"source": "anbi2ci", "target": "jonathan"}, {"source": "anbi12i", "target": "conjoin"}, {"source": "anbi12i", "target": "both"}, {"source": "anbi12i", "target": "sides"}, {"source": "anbi12i", "target": "equivalences"}, {"source": "anbi12ci", "target": "variant"}, {"source": "anbi12ci", "target": "commutation"}, {"source": "anbi12ci", "target": "jonathan"}, {"source": "sylan9bb", "target": "nested"}, {"source": "sylan9bb", "target": "syllogism"}, {"source": "sylan9bb", "target": "inference"}, {"source": "sylan9bb", "target": "conjoining"}, {"source": "sylan9bb", "target": "antecedents"}, {"source": "sylan9bbr", "target": "nested"}, {"source": "sylan9bbr", "target": "syllogism"}, {"source": "sylan9bbr", "target": "inference"}, {"source": "sylan9bbr", "target": "conjoining"}, {"source": "sylan9bbr", "target": "antecedents"}, {"source": "orbi2d", "target": "adding"}, {"source": "orbi2d", "target": "left"}, {"source": "orbi2d", "target": "disjunct"}, {"source": "orbi2d", "target": "both"}, {"source": "orbi2d", "target": "sides"}, {"source": "orbi2d", "target": "logical"}, {"source": "orbi2d", "target": "equivalence"}, {"source": "orbi1d", "target": "adding"}, {"source": "orbi1d", "target": "right"}, {"source": "orbi1d", "target": "disjunct"}, {"source": "orbi1d", "target": "both"}, {"source": "orbi1d", "target": "sides"}, {"source": "orbi1d", "target": "logical"}, {"source": "orbi1d", "target": "equivalence"}, {"source": "anbi2d", "target": "adding"}, {"source": "anbi2d", "target": "left"}, {"source": "anbi2d", "target": "conjunct"}, {"source": "anbi2d", "target": "both"}, {"source": "anbi2d", "target": "sides"}, {"source": "anbi2d", "target": "logical"}, {"source": "anbi2d", "target": "equivalence"}, {"source": "anbi2d", "target": "wolf"}, {"source": "anbi2d", "target": "lammen,"}, {"source": "anbi1d", "target": "adding"}, {"source": "anbi1d", "target": "right"}, {"source": "anbi1d", "target": "conjunct"}, {"source": "anbi1d", "target": "both"}, {"source": "anbi1d", "target": "sides"}, {"source": "anbi1d", "target": "logical"}, {"source": "anbi1d", "target": "equivalence"}, {"source": "anbi1d", "target": "wolf"}, {"source": "anbi1d", "target": "lammen,"}, {"source": "orbi1", "target": "[whiteheadrussell]"}, {"source": "orbi1", "target": "118"}, {"source": "anbi1", "target": "introduce"}, {"source": "anbi1", "target": "right"}, {"source": "anbi1", "target": "conjunct"}, {"source": "anbi1", "target": "both"}, {"source": "anbi1", "target": "sides"}, {"source": "anbi1", "target": "logical"}, {"source": "anbi1", "target": "equivalence"}, {"source": "anbi1", "target": "[whiteheadrussell]"}, {"source": "anbi1", "target": "118"}, {"source": "anbi2", "target": "introduce"}, {"source": "anbi2", "target": "left"}, {"source": "anbi2", "target": "conjunct"}, {"source": "anbi2", "target": "both"}, {"source": "anbi2", "target": "sides"}, {"source": "anbi2", "target": "logical"}, {"source": "anbi2", "target": "equivalence"}, {"source": "bitr", "target": "[whiteheadrussell]"}, {"source": "bitr", "target": "117"}, {"source": "orbi12d", "target": "joining"}, {"source": "orbi12d", "target": "equivalences"}, {"source": "orbi12d", "target": "form"}, {"source": "orbi12d", "target": "equivalence"}, {"source": "anbi12d", "target": "joining"}, {"source": "anbi12d", "target": "equivalences"}, {"source": "anbi12d", "target": "form"}, {"source": "anbi12d", "target": "equivalence"}, {"source": "pm5.3", "target": "[whiteheadrussell]"}, {"source": "pm5.3", "target": "125"}, {"source": "pm5.61", "target": "[whiteheadrussell]"}, {"source": "pm5.61", "target": "125"}, {"source": "pm5.61", "target": "wolf"}, {"source": "pm5.61", "target": "lammen,"}, {"source": "adantll", "target": "adding"}, {"source": "adantll", "target": "conjunct"}, {"source": "adantll", "target": "antecedent"}, {"source": "adantll", "target": "wolf"}, {"source": "adantll", "target": "lammen,"}, {"source": "adantlr", "target": "adding"}, {"source": "adantlr", "target": "conjunct"}, {"source": "adantlr", "target": "antecedent"}, {"source": "adantlr", "target": "wolf"}, {"source": "adantlr", "target": "lammen,"}, {"source": "adantrl", "target": "adding"}, {"source": "adantrl", "target": "conjunct"}, {"source": "adantrl", "target": "antecedent"}, {"source": "adantrl", "target": "wolf"}, {"source": "adantrl", "target": "lammen,"}, {"source": "adantrr", "target": "adding"}, {"source": "adantrr", "target": "conjunct"}, {"source": "adantrr", "target": "antecedent"}, {"source": "adantrr", "target": "wolf"}, {"source": "adantrr", "target": "lammen,"}, {"source": "adantlll", "target": "adding"}, {"source": "adantlll", "target": "conjunct"}, {"source": "adantlll", "target": "antecedent"}, {"source": "adantlll", "target": "wolf"}, {"source": "adantlll", "target": "lammen,"}, {"source": "adantllr", "target": "adding"}, {"source": "adantllr", "target": "conjunct"}, {"source": "adantllr", "target": "antecedent"}, {"source": "adantllr", "target": "wolf"}, {"source": "adantllr", "target": "lammen,"}, {"source": "adantlrl", "target": "adding"}, {"source": "adantlrl", "target": "conjunct"}, {"source": "adantlrl", "target": "antecedent"}, {"source": "adantlrl", "target": "wolf"}, {"source": "adantlrl", "target": "lammen,"}, {"source": "adantlrr", "target": "adding"}, {"source": "adantlrr", "target": "conjunct"}, {"source": "adantlrr", "target": "antecedent"}, {"source": "adantlrr", "target": "wolf"}, {"source": "adantlrr", "target": "lammen,"}, {"source": "adantrll", "target": "adding"}, {"source": "adantrll", "target": "conjunct"}, {"source": "adantrll", "target": "antecedent"}, {"source": "adantrll", "target": "wolf"}, {"source": "adantrll", "target": "lammen,"}, {"source": "adantrlr", "target": "adding"}, {"source": "adantrlr", "target": "conjunct"}, {"source": "adantrlr", "target": "antecedent"}, {"source": "adantrlr", "target": "wolf"}, {"source": "adantrlr", "target": "lammen,"}, {"source": "adantrrl", "target": "adding"}, {"source": "adantrrl", "target": "conjunct"}, {"source": "adantrrl", "target": "antecedent"}, {"source": "adantrrl", "target": "wolf"}, {"source": "adantrrl", "target": "lammen,"}, {"source": "adantrrr", "target": "adding"}, {"source": "adantrrr", "target": "conjunct"}, {"source": "adantrrr", "target": "antecedent"}, {"source": "adantrrr", "target": "wolf"}, {"source": "adantrrr", "target": "lammen,"}, {"source": "ad2antrr", "target": "adding"}, {"source": "ad2antrr", "target": "conjuncts"}, {"source": "ad2antrr", "target": "antecedent"}, {"source": "ad2antrr", "target": "wolf"}, {"source": "ad2antrr", "target": "lammen,"}, {"source": "ad2antlr", "target": "adding"}, {"source": "ad2antlr", "target": "conjuncts"}, {"source": "ad2antlr", "target": "antecedent"}, {"source": "ad2antlr", "target": "wolf"}, {"source": "ad2antlr", "target": "lammen,"}, {"source": "ad2antrl", "target": "adding"}, {"source": "ad2antrl", "target": "conjuncts"}, {"source": "ad2antrl", "target": "antecedent"}, {"source": "ad2antll", "target": "adding"}, {"source": "ad2antll", "target": "conjuncts"}, {"source": "ad2antll", "target": "antecedent"}, {"source": "ad3antrrr", "target": "adding"}, {"source": "ad3antrrr", "target": "three"}, {"source": "ad3antrrr", "target": "conjuncts"}, {"source": "ad3antrrr", "target": "antecedent"}, {"source": "ad3antlr", "target": "adding"}, {"source": "ad3antlr", "target": "three"}, {"source": "ad3antlr", "target": "conjuncts"}, {"source": "ad3antlr", "target": "antecedent"}, {"source": "ad4antr", "target": "adding"}, {"source": "ad4antr", "target": "4"}, {"source": "ad4antr", "target": "conjuncts"}, {"source": "ad4antr", "target": "antecedent"}, {"source": "ad4antlr", "target": "adding"}, {"source": "ad4antlr", "target": "4"}, {"source": "ad4antlr", "target": "conjuncts"}, {"source": "ad4antlr", "target": "antecedent"}, {"source": "ad5antr", "target": "adding"}, {"source": "ad5antr", "target": "5"}, {"source": "ad5antr", "target": "conjuncts"}, {"source": "ad5antr", "target": "antecedent"}, {"source": "ad5antlr", "target": "adding"}, {"source": "ad5antlr", "target": "5"}, {"source": "ad5antlr", "target": "conjuncts"}, {"source": "ad5antlr", "target": "antecedent"}, {"source": "ad6antr", "target": "adding"}, {"source": "ad6antr", "target": "6"}, {"source": "ad6antr", "target": "conjuncts"}, {"source": "ad6antr", "target": "antecedent"}, {"source": "ad6antlr", "target": "adding"}, {"source": "ad6antlr", "target": "6"}, {"source": "ad6antlr", "target": "conjuncts"}, {"source": "ad6antlr", "target": "antecedent"}, {"source": "ad7antr", "target": "adding"}, {"source": "ad7antr", "target": "7"}, {"source": "ad7antr", "target": "conjuncts"}, {"source": "ad7antr", "target": "antecedent"}, {"source": "ad7antlr", "target": "adding"}, {"source": "ad7antlr", "target": "7"}, {"source": "ad7antlr", "target": "conjuncts"}, {"source": "ad7antlr", "target": "antecedent"}, {"source": "ad8antr", "target": "adding"}, {"source": "ad8antr", "target": "8"}, {"source": "ad8antr", "target": "conjuncts"}, {"source": "ad8antr", "target": "antecedent"}, {"source": "ad8antlr", "target": "adding"}, {"source": "ad8antlr", "target": "8"}, {"source": "ad8antlr", "target": "conjuncts"}, {"source": "ad8antlr", "target": "antecedent"}, {"source": "ad9antr", "target": "adding"}, {"source": "ad9antr", "target": "9"}, {"source": "ad9antr", "target": "conjuncts"}, {"source": "ad9antr", "target": "antecedent"}, {"source": "ad9antlr", "target": "adding"}, {"source": "ad9antlr", "target": "9"}, {"source": "ad9antlr", "target": "conjuncts"}, {"source": "ad9antlr", "target": "antecedent"}, {"source": "ad10antr", "target": "adding"}, {"source": "ad10antr", "target": "10"}, {"source": "ad10antr", "target": "conjuncts"}, {"source": "ad10antr", "target": "antecedent"}, {"source": "ad10antlr", "target": "adding"}, {"source": "ad10antlr", "target": "10"}, {"source": "ad10antlr", "target": "conjuncts"}, {"source": "ad10antlr", "target": "antecedent"}, {"source": "ad2ant2l", "target": "adding"}, {"source": "ad2ant2l", "target": "conjuncts"}, {"source": "ad2ant2l", "target": "antecedent"}, {"source": "ad2ant2r", "target": "adding"}, {"source": "ad2ant2r", "target": "conjuncts"}, {"source": "ad2ant2r", "target": "antecedent"}, {"source": "ad2ant2lr", "target": "adding"}, {"source": "ad2ant2lr", "target": "conjuncts"}, {"source": "ad2ant2lr", "target": "antecedent"}, {"source": "ad2ant2rl", "target": "adding"}, {"source": "ad2ant2rl", "target": "conjuncts"}, {"source": "ad2ant2rl", "target": "antecedent"}, {"source": "simpll", "target": "simplification"}, {"source": "simpll", "target": "conjunction"}, {"source": "simplr", "target": "simplification"}, {"source": "simplr", "target": "conjunction"}, {"source": "simprl", "target": "simplification"}, {"source": "simprl", "target": "conjunction"}, {"source": "simprr", "target": "simplification"}, {"source": "simprr", "target": "conjunction"}, {"source": "simplll", "target": "simplification"}, {"source": "simplll", "target": "conjunction"}, {"source": "simplll", "target": "hankins,"}, {"source": "simpllr", "target": "simplification"}, {"source": "simpllr", "target": "conjunction"}, {"source": "simpllr", "target": "hankins,"}, {"source": "simplrl", "target": "simplification"}, {"source": "simplrl", "target": "conjunction"}, {"source": "simplrl", "target": "hankins,"}, {"source": "simplrr", "target": "simplification"}, {"source": "simplrr", "target": "conjunction"}, {"source": "simplrr", "target": "hankins,"}, {"source": "simprll", "target": "simplification"}, {"source": "simprll", "target": "conjunction"}, {"source": "simprll", "target": "hankins,"}, {"source": "simprlr", "target": "simplification"}, {"source": "simprlr", "target": "conjunction"}, {"source": "simprlr", "target": "hankins,"}, {"source": "simprrl", "target": "simplification"}, {"source": "simprrl", "target": "conjunction"}, {"source": "simprrl", "target": "hankins,"}, {"source": "simprrr", "target": "simplification"}, {"source": "simprrr", "target": "conjunction"}, {"source": "simprrr", "target": "hankins,"}, {"source": "simp-4l", "target": "simplification"}, {"source": "simp-4l", "target": "conjunction"}, {"source": "simp-4r", "target": "simplification"}, {"source": "simp-4r", "target": "conjunction"}, {"source": "simp-5l", "target": "simplification"}, {"source": "simp-5l", "target": "conjunction"}, {"source": "simp-5r", "target": "simplification"}, {"source": "simp-5r", "target": "conjunction"}, {"source": "simp-6l", "target": "simplification"}, {"source": "simp-6l", "target": "conjunction"}, {"source": "simp-6r", "target": "simplification"}, {"source": "simp-6r", "target": "conjunction"}, {"source": "simp-7l", "target": "simplification"}, {"source": "simp-7l", "target": "conjunction"}, {"source": "simp-7r", "target": "simplification"}, {"source": "simp-7r", "target": "conjunction"}, {"source": "simp-8l", "target": "simplification"}, {"source": "simp-8l", "target": "conjunction"}, {"source": "simp-8r", "target": "simplification"}, {"source": "simp-8r", "target": "conjunction"}, {"source": "simp-9l", "target": "simplification"}, {"source": "simp-9l", "target": "conjunction"}, {"source": "simp-9r", "target": "simplification"}, {"source": "simp-9r", "target": "conjunction"}, {"source": "simp-10l", "target": "simplification"}, {"source": "simp-10l", "target": "conjunction"}, {"source": "simp-10r", "target": "simplification"}, {"source": "simp-10r", "target": "conjunction"}, {"source": "simp-11l", "target": "simplification"}, {"source": "simp-11l", "target": "conjunction"}, {"source": "simp-11r", "target": "simplification"}, {"source": "simp-11r", "target": "conjunction"}, {"source": "jaob", "target": "disjunction"}, {"source": "jaob", "target": "antecedents"}, {"source": "jaob", "target": "compare"}, {"source": "jaob", "target": "[whiteheadrussell]"}, {"source": "jaob", "target": "121"}, {"source": "jaob", "target": "wolf"}, {"source": "jaob", "target": "lammen,"}, {"source": "jaoian", "target": "inference"}, {"source": "jaoian", "target": "antecedents"}, {"source": "jaoian", "target": "implications"}, {"source": "jaodan", "target": "antecedents"}, {"source": "jaodan", "target": "implications"}, {"source": "mpjaodan", "target": "eliminate"}, {"source": "mpjaodan", "target": "disjunction"}, {"source": "mpjaodan", "target": "translation"}, {"source": "mpjaodan", "target": "natural"}, {"source": "mpjaodan", "target": "rule"}, {"source": "mpjaodan", "target": "\\/"}, {"source": "mpjaodan", "target": "\\/"}, {"source": "mpjaodan", "target": "see"}, {"source": "mpjaodan", "target": "natded"}, {"source": "pm4.77", "target": "[whiteheadrussell]"}, {"source": "pm4.77", "target": "121"}, {"source": "pm2.63", "target": "[whiteheadrussell]"}, {"source": "pm2.63", "target": "107"}, {"source": "pm2.64", "target": "[whiteheadrussell]"}, {"source": "pm2.64", "target": "107"}, {"source": "pm2.61ian", "target": "elimination"}, {"source": "pm2.61ian", "target": "antecedent"}, {"source": "pm2.61dan", "target": "elimination"}, {"source": "pm2.61dan", "target": "antecedent"}, {"source": "pm2.61ddan", "target": "elimination"}, {"source": "pm2.61ddan", "target": "antecedents"}, {"source": "pm2.61dda", "target": "elimination"}, {"source": "pm2.61dda", "target": "antecedents"}, {"source": "condan", "target": "contradiction"}, {"source": "condan", "target": "wolf"}, {"source": "condan", "target": "lammen,"}, {"source": "abai", "target": "introduce"}, {"source": "abai", "target": "one"}, {"source": "abai", "target": "conjunct"}, {"source": "abai", "target": "antecedent"}, {"source": "abai", "target": "other"}, {"source": "abai", "target": "biconditional,"}, {"source": "abai", "target": "wolf"}, {"source": "abai", "target": "lammen,"}, {"source": "pm5.53", "target": "[whiteheadrussell]"}, {"source": "pm5.53", "target": "125"}, {"source": "an12", "target": "swap"}, {"source": "an12", "target": "conjuncts"}, {"source": "an12", "target": "note"}, {"source": "an12", "target": "first"}, {"source": "an12", "target": "digit"}, {"source": "an12", "target": "label"}, {"source": "an12", "target": "outer"}, {"source": "an12", "target": "conjunct"}, {"source": "an12", "target": "next"}, {"source": "an12", "target": "digit"}, {"source": "an12", "target": "2"}, {"source": "an12", "target": "inner"}, {"source": "an12", "target": "conjunct"}, {"source": "an12", "target": "position"}, {"source": "an32", "target": "rearrangement"}, {"source": "an32", "target": "conjuncts"}, {"source": "an32", "target": "wolf"}, {"source": "an32", "target": "lammen,"}, {"source": "an13", "target": "rearrangement"}, {"source": "an13", "target": "conjuncts"}, {"source": "an13", "target": "wolf"}, {"source": "an13", "target": "lammen,"}, {"source": "an31", "target": "rearrangement"}, {"source": "an31", "target": "conjuncts"}, {"source": "an31", "target": "wolf"}, {"source": "an31", "target": "lammen,"}, {"source": "an12s", "target": "swap"}, {"source": "an12s", "target": "conjuncts"}, {"source": "an12s", "target": "antecedent"}, {"source": "an12s", "target": "label"}, {"source": "an12s", "target": "suffix"}, {"source": "an12s", "target": "means"}, {"source": "an12s", "target": "combined"}, {"source": "an12s", "target": "syl"}, {"source": "an12s", "target": "variant"}, {"source": "ancom2s", "target": "inference"}, {"source": "ancom2s", "target": "commuting"}, {"source": "ancom2s", "target": "nested"}, {"source": "ancom2s", "target": "conjunction"}, {"source": "ancom2s", "target": "antecedent"}, {"source": "ancom2s", "target": "wolf"}, {"source": "ancom2s", "target": "lammen,"}, {"source": "an13s", "target": "swap"}, {"source": "an13s", "target": "conjuncts"}, {"source": "an13s", "target": "antecedent"}, {"source": "an32s", "target": "swap"}, {"source": "an32s", "target": "conjuncts"}, {"source": "an32s", "target": "antecedent"}, {"source": "ancom1s", "target": "inference"}, {"source": "ancom1s", "target": "commuting"}, {"source": "ancom1s", "target": "nested"}, {"source": "ancom1s", "target": "conjunction"}, {"source": "ancom1s", "target": "antecedent"}, {"source": "ancom1s", "target": "wolf"}, {"source": "ancom1s", "target": "lammen,"}, {"source": "an31s", "target": "swap"}, {"source": "an31s", "target": "conjuncts"}, {"source": "an31s", "target": "antecedent"}, {"source": "anass1rs", "target": "conjunction"}, {"source": "anass1rs", "target": "antecedent"}, {"source": "anass1rs", "target": "madsen,"}, {"source": "anabs1", "target": "absorption"}, {"source": "anabs1", "target": "into"}, {"source": "anabs1", "target": "embedded"}, {"source": "anabs1", "target": "conjunct"}, {"source": "anabs1", "target": "wolf"}, {"source": "anabs1", "target": "lammen,"}, {"source": "anabs5", "target": "absorption"}, {"source": "anabs5", "target": "into"}, {"source": "anabs5", "target": "embedded"}, {"source": "anabs5", "target": "conjunct"}, {"source": "anabs5", "target": "wolf"}, {"source": "anabs5", "target": "lammen,"}, {"source": "anabs7", "target": "absorption"}, {"source": "anabs7", "target": "into"}, {"source": "anabs7", "target": "embedded"}, {"source": "anabs7", "target": "conjunct"}, {"source": "anabs7", "target": "wolf"}, {"source": "anabs7", "target": "lammen,"}, {"source": "anabsan", "target": "absorption"}, {"source": "anabsan", "target": "antecedent"}, {"source": "anabsan", "target": "conjunction"}, {"source": "anabss1", "target": "absorption"}, {"source": "anabss1", "target": "antecedent"}, {"source": "anabss1", "target": "into"}, {"source": "anabss1", "target": "conjunction"}, {"source": "anabss1", "target": "wolf"}, {"source": "anabss1", "target": "lammen,"}, {"source": "anabss4", "target": "absorption"}, {"source": "anabss4", "target": "antecedent"}, {"source": "anabss4", "target": "into"}, {"source": "anabss4", "target": "conjunction"}, {"source": "anabss5", "target": "absorption"}, {"source": "anabss5", "target": "antecedent"}, {"source": "anabss5", "target": "into"}, {"source": "anabss5", "target": "conjunction"}, {"source": "anabss5", "target": "wolf"}, {"source": "anabss5", "target": "lammen,"}, {"source": "anabsi5", "target": "absorption"}, {"source": "anabsi5", "target": "antecedent"}, {"source": "anabsi5", "target": "into"}, {"source": "anabsi5", "target": "conjunction"}, {"source": "anabsi5", "target": "wolf"}, {"source": "anabsi5", "target": "lammen,"}, {"source": "anabsi6", "target": "absorption"}, {"source": "anabsi6", "target": "antecedent"}, {"source": "anabsi6", "target": "into"}, {"source": "anabsi6", "target": "conjunction"}, {"source": "anabsi7", "target": "absorption"}, {"source": "anabsi7", "target": "antecedent"}, {"source": "anabsi7", "target": "into"}, {"source": "anabsi7", "target": "conjunction"}, {"source": "anabsi7", "target": "wolf"}, {"source": "anabsi7", "target": "lammen,"}, {"source": "anabsi8", "target": "absorption"}, {"source": "anabsi8", "target": "antecedent"}, {"source": "anabsi8", "target": "into"}, {"source": "anabsi8", "target": "conjunction"}, {"source": "anabss7", "target": "absorption"}, {"source": "anabss7", "target": "antecedent"}, {"source": "anabss7", "target": "into"}, {"source": "anabss7", "target": "conjunction"}, {"source": "anabss7", "target": "wolf"}, {"source": "anabss7", "target": "lammen,"}, {"source": "anabsan2", "target": "absorption"}, {"source": "anabsan2", "target": "antecedent"}, {"source": "anabsan2", "target": "conjunction"}, {"source": "anabss3", "target": "absorption"}, {"source": "anabss3", "target": "antecedent"}, {"source": "anabss3", "target": "into"}, {"source": "anabss3", "target": "conjunction"}, {"source": "anabss3", "target": "wolf"}, {"source": "anabss3", "target": "lammen,"}, {"source": "an4", "target": "rearrangement"}, {"source": "an4", "target": "4"}, {"source": "an4", "target": "conjuncts"}, {"source": "an42", "target": "rearrangement"}, {"source": "an42", "target": "4"}, {"source": "an42", "target": "conjuncts"}, {"source": "an4s", "target": "inference"}, {"source": "an4s", "target": "4"}, {"source": "an4s", "target": "conjuncts"}, {"source": "an4s", "target": "antecedent"}, {"source": "an42s", "target": "inference"}, {"source": "an42s", "target": "4"}, {"source": "an42s", "target": "conjuncts"}, {"source": "an42s", "target": "antecedent"}, {"source": "anandi", "target": "distribution"}, {"source": "anandi", "target": "conjunction"}, {"source": "anandi", "target": "over"}, {"source": "anandi", "target": "conjunction"}, {"source": "anandir", "target": "distribution"}, {"source": "anandir", "target": "conjunction"}, {"source": "anandir", "target": "over"}, {"source": "anandir", "target": "conjunction"}, {"source": "anandis", "target": "inference"}, {"source": "anandis", "target": "conjunction"}, {"source": "anandis", "target": "antecedent"}, {"source": "anandirs", "target": "inference"}, {"source": "anandirs", "target": "conjunction"}, {"source": "anandirs", "target": "antecedent"}, {"source": "impbida", "target": "deduce"}, {"source": "impbida", "target": "equivalence"}, {"source": "impbida", "target": "implications"}, {"source": "pm3.48", "target": "[whiteheadrussell]"}, {"source": "pm3.48", "target": "114"}, {"source": "pm3.45", "target": "fact"}, {"source": "pm3.45", "target": "[whiteheadrussell]"}, {"source": "pm3.45", "target": "113"}, {"source": "im2anan9", "target": "joining"}, {"source": "im2anan9", "target": "nested"}, {"source": "im2anan9", "target": "implications"}, {"source": "im2anan9", "target": "form"}, {"source": "im2anan9", "target": "implication"}, {"source": "im2anan9r", "target": "joining"}, {"source": "im2anan9r", "target": "nested"}, {"source": "im2anan9r", "target": "implications"}, {"source": "im2anan9r", "target": "form"}, {"source": "im2anan9r", "target": "implication"}, {"source": "anim12dan", "target": "conjoin"}, {"source": "anim12dan", "target": "antecedents"}, {"source": "anim12dan", "target": "consequents"}, {"source": "orim12d", "target": "antecedents"}, {"source": "orim12d", "target": "consequents"}, {"source": "orim1d", "target": "antecedents"}, {"source": "orim1d", "target": "consequents"}, {"source": "orim2d", "target": "antecedents"}, {"source": "orim2d", "target": "consequents"}, {"source": "orim2", "target": "axiom"}, {"source": "orim2", "target": "sum"}, {"source": "orim2", "target": "[whiteheadrussell]"}, {"source": "orim2", "target": "97"}, {"source": "pm2.38", "target": "[whiteheadrussell]"}, {"source": "pm2.38", "target": "105"}, {"source": "pm2.36", "target": "[whiteheadrussell]"}, {"source": "pm2.36", "target": "105"}, {"source": "pm2.37", "target": "[whiteheadrussell]"}, {"source": "pm2.37", "target": "105"}, {"source": "pm2.73", "target": "[whiteheadrussell]"}, {"source": "pm2.73", "target": "108"}, {"source": "pm2.74", "target": "[whiteheadrussell]"}, {"source": "pm2.74", "target": "108"}, {"source": "orimdi", "target": "disjunction"}, {"source": "orimdi", "target": "distributes"}, {"source": "orimdi", "target": "over"}, {"source": "orimdi", "target": "implication"}, {"source": "orimdi", "target": "wolf"}, {"source": "orimdi", "target": "lammen,"}, {"source": "pm2.76", "target": "[whiteheadrussell]"}, {"source": "pm2.76", "target": "108"}, {"source": "pm2.75", "target": "[whiteheadrussell]"}, {"source": "pm2.75", "target": "108"}, {"source": "pm2.75", "target": "wolf"}, {"source": "pm2.75", "target": "lammen,"}, {"source": "pm2.8", "target": "[whiteheadrussell]"}, {"source": "pm2.8", "target": "108"}, {"source": "pm2.8", "target": "wolf"}, {"source": "pm2.8", "target": "lammen,"}, {"source": "pm2.81", "target": "[whiteheadrussell]"}, {"source": "pm2.81", "target": "108"}, {"source": "pm2.82", "target": "[whiteheadrussell]"}, {"source": "pm2.82", "target": "108"}, {"source": "pm2.85", "target": "[whiteheadrussell]"}, {"source": "pm2.85", "target": "108"}, {"source": "pm2.85", "target": "wolf"}, {"source": "pm2.85", "target": "lammen,"}, {"source": "pm3.2ni", "target": "infer"}, {"source": "pm3.2ni", "target": "negated"}, {"source": "pm3.2ni", "target": "disjunction"}, {"source": "pm3.2ni", "target": "negated"}, {"source": "orabs", "target": "absorption"}, {"source": "orabs", "target": "redundant"}, {"source": "orabs", "target": "internal"}, {"source": "orabs", "target": "disjunct"}, {"source": "orabs", "target": "compare"}, {"source": "orabs", "target": "[whiteheadrussell]"}, {"source": "orabs", "target": "119"}, {"source": "orabs", "target": "wolf"}, {"source": "orabs", "target": "lammen,"}, {"source": "oranabs", "target": "disjunct"}, {"source": "oranabs", "target": "into"}, {"source": "oranabs", "target": "conjunct"}, {"source": "oranabs", "target": "wolf"}, {"source": "oranabs", "target": "lammen,"}, {"source": "pm5.1", "target": "equivalent"}, {"source": "pm5.1", "target": "they"}, {"source": "pm5.1", "target": "both"}, {"source": "pm5.1", "target": "true"}, {"source": "pm5.1", "target": "[whiteheadrussell]"}, {"source": "pm5.1", "target": "123"}, {"source": "pm5.21", "target": "equivalent"}, {"source": "pm5.21", "target": "they"}, {"source": "pm5.21", "target": "both"}, {"source": "pm5.21", "target": "false"}, {"source": "pm5.21", "target": "[whiteheadrussell]"}, {"source": "pm5.21", "target": "124"}, {"source": "pm3.43", "target": "[whiteheadrussell]"}, {"source": "pm3.43", "target": "113"}, {"source": "jcab", "target": "distributive"}, {"source": "jcab", "target": "implication"}, {"source": "jcab", "target": "over"}, {"source": "jcab", "target": "conjunction"}, {"source": "jcab", "target": "compare"}, {"source": "jcab", "target": "[whiteheadrussell]"}, {"source": "jcab", "target": "121"}, {"source": "jcab", "target": "wolf"}, {"source": "jcab", "target": "lammen,"}, {"source": "ordi", "target": "distributive"}, {"source": "ordi", "target": "disjunction"}, {"source": "ordi", "target": "[whiteheadrussell]"}, {"source": "ordi", "target": "119"}, {"source": "ordi", "target": "wolf"}, {"source": "ordi", "target": "lammen,"}, {"source": "ordir", "target": "distributive"}, {"source": "ordir", "target": "disjunction"}, {"source": "pm4.76", "target": "[whiteheadrussell]"}, {"source": "pm4.76", "target": "121"}, {"source": "andi", "target": "distributive"}, {"source": "andi", "target": "conjunction"}, {"source": "andi", "target": "[whiteheadrussell]"}, {"source": "andi", "target": "118"}, {"source": "andi", "target": "wolf"}, {"source": "andi", "target": "lammen,"}, {"source": "andir", "target": "distributive"}, {"source": "andir", "target": "conjunction"}, {"source": "orddi", "target": "double"}, {"source": "orddi", "target": "distributive"}, {"source": "orddi", "target": "disjunction"}, {"source": "anddi", "target": "double"}, {"source": "anddi", "target": "distributive"}, {"source": "anddi", "target": "conjunction"}, {"source": "pm4.39", "target": "[whiteheadrussell]"}, {"source": "pm4.39", "target": "118"}, {"source": "pm4.38", "target": "[whiteheadrussell]"}, {"source": "pm4.38", "target": "118"}, {"source": "bi2anan9", "target": "joining"}, {"source": "bi2anan9", "target": "equivalences"}, {"source": "bi2anan9", "target": "form"}, {"source": "bi2anan9", "target": "equivalence"}, {"source": "bi2anan9r", "target": "joining"}, {"source": "bi2anan9r", "target": "equivalences"}, {"source": "bi2anan9r", "target": "form"}, {"source": "bi2anan9r", "target": "equivalence"}, {"source": "bi2bian9", "target": "joining"}, {"source": "bi2bian9", "target": "biconditionals"}, {"source": "bi2bian9", "target": "different"}, {"source": "bi2bian9", "target": "antecedents"}, {"source": "pm4.72", "target": "implication"}, {"source": "pm4.72", "target": "terms"}, {"source": "pm4.72", "target": "biconditional"}, {"source": "pm4.72", "target": "disjunction"}, {"source": "pm4.72", "target": "[whiteheadrussell]"}, {"source": "pm4.72", "target": "121"}, {"source": "pm4.72", "target": "wolf"}, {"source": "pm4.72", "target": "lammen,"}, {"source": "imimorb", "target": "simplify"}, {"source": "imimorb", "target": "implication"}, {"source": "imimorb", "target": "between"}, {"source": "imimorb", "target": "implications"}, {"source": "imimorb", "target": "paul"}, {"source": "imimorb", "target": "chapman,"}, {"source": "imimorb", "target": "wolf"}, {"source": "imimorb", "target": "lammen,"}, {"source": "pm5.33", "target": "[whiteheadrussell]"}, {"source": "pm5.33", "target": "125"}, {"source": "pm5.36", "target": "[whiteheadrussell]"}, {"source": "pm5.36", "target": "125"}, {"source": "bianabs", "target": "hypothesis"}, {"source": "bianabs", "target": "into"}, {"source": "bianabs", "target": "second"}, {"source": "bianabs", "target": "member"}, {"source": "bianabs", "target": "biconditional"}, {"source": "bianabs", "target": "fl,"}, {"source": "oibabs", "target": "absorption"}, {"source": "oibabs", "target": "disjunction"}, {"source": "oibabs", "target": "into"}, {"source": "oibabs", "target": "equivalence"}, {"source": "oibabs", "target": "wolf"}, {"source": "oibabs", "target": "lammen,"}, {"source": "pm3.24", "target": "[whiteheadrussell]"}, {"source": "pm3.24", "target": "111"}, {"source": "pm3.24", "target": "who"}, {"source": "pm3.24", "target": "call"}, {"source": "pm3.24", "target": "wolf"}, {"source": "pm3.24", "target": "lammen,"}, {"source": "pm2.26", "target": "[whiteheadrussell]"}, {"source": "pm2.26", "target": "104"}, {"source": "pm2.26", "target": "wolf"}, {"source": "pm2.26", "target": "lammen,"}, {"source": "pm5.11", "target": "[whiteheadrussell]"}, {"source": "pm5.11", "target": "123"}, {"source": "pm5.12", "target": "[whiteheadrussell]"}, {"source": "pm5.12", "target": "123"}, {"source": "pm5.14", "target": "[whiteheadrussell]"}, {"source": "pm5.14", "target": "123"}, {"source": "pm5.13", "target": "[whiteheadrussell]"}, {"source": "pm5.13", "target": "123"}, {"source": "pm5.13", "target": "wolf"}, {"source": "pm5.13", "target": "lammen,"}, {"source": "pm5.17", "target": "[whiteheadrussell]"}, {"source": "pm5.17", "target": "124"}, {"source": "pm5.17", "target": "wolf"}, {"source": "pm5.17", "target": "lammen,"}, {"source": "pm5.15", "target": "[whiteheadrussell]"}, {"source": "pm5.15", "target": "124"}, {"source": "pm5.15", "target": "wolf"}, {"source": "pm5.15", "target": "lammen,"}, {"source": "pm5.16", "target": "[whiteheadrussell]"}, {"source": "pm5.16", "target": "124"}, {"source": "pm5.16", "target": "wolf"}, {"source": "pm5.16", "target": "lammen,"}, {"source": "xor", "target": "ways"}, {"source": "xor", "target": "express"}, {"source": "xor", "target": "[whiteheadrussell]"}, {"source": "xor", "target": "124"}, {"source": "xor", "target": "wolf"}, {"source": "xor", "target": "lammen,"}, {"source": "nbi2", "target": "ways"}, {"source": "nbi2", "target": "express"}, {"source": "nbi2", "target": "wolf"}, {"source": "nbi2", "target": "lammen,"}, {"source": "dfbi3", "target": "alternate"}, {"source": "dfbi3", "target": "definition"}, {"source": "dfbi3", "target": "biconditional"}, {"source": "dfbi3", "target": "[whiteheadrussell]"}, {"source": "dfbi3", "target": "124"}, {"source": "dfbi3", "target": "wolf"}, {"source": "dfbi3", "target": "lammen,"}, {"source": "pm5.24", "target": "[whiteheadrussell]"}, {"source": "pm5.24", "target": "124"}, {"source": "xordi", "target": "conjunction"}, {"source": "xordi", "target": "distributes"}, {"source": "xordi", "target": "over"}, {"source": "xordi", "target": "using"}, {"source": "xordi", "target": "ps"}, {"source": "xordi", "target": "express"}, {"source": "xordi", "target": "one"}, {"source": "xordi", "target": "way"}, {"source": "xordi", "target": "distributive"}, {"source": "xordi", "target": "multiplication"}, {"source": "xordi", "target": "over"}, {"source": "xordi", "target": "addition"}, {"source": "xordi", "target": "modulo"}, {"source": "xordi", "target": "2"}, {"source": "xordi", "target": "arithmetic"}, {"source": "xordi", "target": "necessarily"}, {"source": "xordi", "target": "true"}, {"source": "xordi", "target": "intuitionistic"}, {"source": "xordi", "target": "logic,"}, {"source": "xordi", "target": "though"}, {"source": "xordi", "target": "does"}, {"source": "xordi", "target": "hold"}, {"source": "biort", "target": "wff"}, {"source": "biort", "target": "truth"}, {"source": "biort", "target": "true"}, {"source": "pm5.55", "target": "[whiteheadrussell]"}, {"source": "pm5.55", "target": "125"}, {"source": "pm5.55", "target": "wolf"}, {"source": "pm5.55", "target": "lammen,"}, {"source": "pm5.21nd", "target": "eliminate"}, {"source": "pm5.21nd", "target": "antecedent"}, {"source": "pm5.21nd", "target": "implied"}, {"source": "pm5.21nd", "target": "each"}, {"source": "pm5.21nd", "target": "side"}, {"source": "pm5.21nd", "target": "biconditional"}, {"source": "pm5.21nd", "target": "wolf"}, {"source": "pm5.21nd", "target": "lammen,"}, {"source": "pm5.35", "target": "[whiteheadrussell]"}, {"source": "pm5.35", "target": "125"}, {"source": "pm5.54", "target": "[whiteheadrussell]"}, {"source": "pm5.54", "target": "125"}, {"source": "pm5.54", "target": "wolf"}, {"source": "pm5.54", "target": "lammen,"}, {"source": "baib", "target": "move"}, {"source": "baib", "target": "conjunction"}, {"source": "baib", "target": "outside"}, {"source": "baib", "target": "biconditional"}, {"source": "baibr", "target": "move"}, {"source": "baibr", "target": "conjunction"}, {"source": "baibr", "target": "outside"}, {"source": "baibr", "target": "biconditional"}, {"source": "rbaib", "target": "move"}, {"source": "rbaib", "target": "conjunction"}, {"source": "rbaib", "target": "outside"}, {"source": "rbaib", "target": "biconditional"}, {"source": "rbaibr", "target": "move"}, {"source": "rbaibr", "target": "conjunction"}, {"source": "rbaibr", "target": "outside"}, {"source": "rbaibr", "target": "biconditional"}, {"source": "baibd", "target": "move"}, {"source": "baibd", "target": "conjunction"}, {"source": "baibd", "target": "outside"}, {"source": "baibd", "target": "biconditional"}, {"source": "rbaibd", "target": "move"}, {"source": "rbaibd", "target": "conjunction"}, {"source": "rbaibd", "target": "outside"}, {"source": "rbaibd", "target": "biconditional"}, {"source": "pm5.44", "target": "[whiteheadrussell]"}, {"source": "pm5.44", "target": "125"}, {"source": "pm5.6", "target": "conjunction"}, {"source": "pm5.6", "target": "antecedent"}, {"source": "pm5.6", "target": "disjunction"}, {"source": "pm5.6", "target": "consequent"}, {"source": "pm5.6", "target": "[whiteheadrussell]"}, {"source": "pm5.6", "target": "125"}, {"source": "orcanai", "target": "change"}, {"source": "orcanai", "target": "disjunction"}, {"source": "orcanai", "target": "consequent"}, {"source": "orcanai", "target": "conjunction"}, {"source": "orcanai", "target": "antecedent"}, {"source": "intnan", "target": "introduction"}, {"source": "intnan", "target": "conjunct"}, {"source": "intnan", "target": "inside"}, {"source": "intnan", "target": "contradiction"}, {"source": "intnanr", "target": "introduction"}, {"source": "intnanr", "target": "conjunct"}, {"source": "intnanr", "target": "inside"}, {"source": "intnanr", "target": "contradiction"}, {"source": "intnand", "target": "introduction"}, {"source": "intnand", "target": "conjunct"}, {"source": "intnand", "target": "inside"}, {"source": "intnand", "target": "contradiction"}, {"source": "intnanrd", "target": "introduction"}, {"source": "intnanrd", "target": "conjunct"}, {"source": "intnanrd", "target": "inside"}, {"source": "intnanrd", "target": "contradiction"}, {"source": "mpbiran", "target": "truth"}, {"source": "mpbiran", "target": "conjunction"}, {"source": "mpbiran", "target": "biconditional"}, {"source": "mpbiran2", "target": "truth"}, {"source": "mpbiran2", "target": "conjunction"}, {"source": "mpbiran2", "target": "biconditional"}, {"source": "mpbir2an", "target": "conjunction"}, {"source": "mpbir2an", "target": "biconditional"}, {"source": "mpbi2and", "target": "conjunction"}, {"source": "mpbi2and", "target": "biconditional"}, {"source": "mpbi2and", "target": "wolf"}, {"source": "mpbi2and", "target": "lammen,"}, {"source": "mpbir2and", "target": "conjunction"}, {"source": "mpbir2and", "target": "biconditional"}, {"source": "mpbir2and", "target": "wolf"}, {"source": "mpbir2and", "target": "lammen,"}, {"source": "pm5.62", "target": "[whiteheadrussell]"}, {"source": "pm5.62", "target": "125"}, {"source": "pm5.63", "target": "[whiteheadrussell]"}, {"source": "pm5.63", "target": "125"}, {"source": "pm5.63", "target": "wolf"}, {"source": "pm5.63", "target": "lammen,"}, {"source": "bianfi", "target": "wff"}, {"source": "bianfi", "target": "falsehood"}, {"source": "bianfi", "target": "false"}, {"source": "bianfi", "target": "wolf"}, {"source": "bianfi", "target": "lammen,"}, {"source": "bianfd", "target": "wff"}, {"source": "bianfd", "target": "falsehood"}, {"source": "bianfd", "target": "false"}, {"source": "bianfd", "target": "wolf"}, {"source": "bianfd", "target": "lammen,"}, {"source": "pm4.43", "target": "[whiteheadrussell]"}, {"source": "pm4.43", "target": "119"}, {"source": "pm4.43", "target": "wolf"}, {"source": "pm4.43", "target": "lammen,"}, {"source": "pm4.82", "target": "[whiteheadrussell]"}, {"source": "pm4.82", "target": "122"}, {"source": "pm4.83", "target": "[whiteheadrussell]"}, {"source": "pm4.83", "target": "122"}, {"source": "pclem6", "target": "negation"}, {"source": "pclem6", "target": "inferred"}, {"source": "pclem6", "target": "embedded"}, {"source": "pclem6", "target": "conjunct"}, {"source": "pclem6", "target": "wolf"}, {"source": "pclem6", "target": "lammen,"}, {"source": "biantr", "target": "transitive"}, {"source": "biantr", "target": "equivalence"}, {"source": "biantr", "target": "compare"}, {"source": "biantr", "target": "[whiteheadrussell]"}, {"source": "biantr", "target": "117"}, {"source": "orbidi", "target": "disjunction"}, {"source": "orbidi", "target": "distributes"}, {"source": "orbidi", "target": "over"}, {"source": "orbidi", "target": "biconditional"}, {"source": "orbidi", "target": "axiom"}, {"source": "orbidi", "target": "system"}, {"source": "orbidi", "target": "wolf"}, {"source": "orbidi", "target": "lammen,"}, {"source": "biluk", "target": "axiom"}, {"source": "biluk", "target": "calculus"}, {"source": "biluk", "target": "logic"}, {"source": "biluk", "target": "96"}, {"source": "pm5.7", "target": "disjunction"}, {"source": "pm5.7", "target": "distributes"}, {"source": "pm5.7", "target": "over"}, {"source": "pm5.7", "target": "biconditional"}, {"source": "pm5.7", "target": "[whiteheadrussell]"}, {"source": "pm5.7", "target": "125"}, {"source": "pm5.7", "target": "similar"}, {"source": "bigolden", "target": "rule"}, {"source": "bigolden", "target": "proofs"}, {"source": "pm5.71", "target": "[whiteheadrussell]"}, {"source": "pm5.71", "target": "125"}, {"source": "pm5.75", "target": "[whiteheadrussell]"}, {"source": "pm5.75", "target": "wolf"}, {"source": "pm5.75", "target": "lammen,"}, {"source": "bimsc1", "target": "conjunct"}, {"source": "bimsc1", "target": "one"}, {"source": "bimsc1", "target": "side"}, {"source": "bimsc1", "target": "equivalence"}, {"source": "4exmid", "target": "disjunction"}, {"source": "4exmid", "target": "four"}, {"source": "4exmid", "target": "possible"}, {"source": "4exmid", "target": "combinations"}, {"source": "4exmid", "target": "their"}, {"source": "4exmid", "target": "always"}, {"source": "4exmid", "target": "true"}, {"source": "4exmid", "target": "david"}, {"source": "4exmid", "target": "abernethy,"}, {"source": "ecase2d", "target": "elimination"}, {"source": "ecase2d", "target": "cases"}, {"source": "ecase2d", "target": "wolf"}, {"source": "ecase2d", "target": "lammen,"}, {"source": "ecase3", "target": "inference"}, {"source": "ecase3", "target": "elimination"}, {"source": "ecase3", "target": "cases"}, {"source": "ecase3", "target": "wolf"}, {"source": "ecase3", "target": "lammen,"}, {"source": "ecase", "target": "inference"}, {"source": "ecase", "target": "elimination"}, {"source": "ecase", "target": "cases"}, {"source": "ecase3d", "target": "elimination"}, {"source": "ecase3d", "target": "cases"}, {"source": "ecased", "target": "elimination"}, {"source": "ecased", "target": "cases"}, {"source": "ecase3ad", "target": "elimination"}, {"source": "ecase3ad", "target": "cases"}, {"source": "ccase", "target": "inference"}, {"source": "ccase", "target": "combining"}, {"source": "ccase", "target": "cases"}, {"source": "ccase", "target": "wolf"}, {"source": "ccase", "target": "lammen,"}, {"source": "ccased", "target": "combining"}, {"source": "ccased", "target": "cases"}, {"source": "ccase2", "target": "inference"}, {"source": "ccase2", "target": "combining"}, {"source": "ccase2", "target": "cases"}, {"source": "4cases", "target": "inference"}, {"source": "4cases", "target": "eliminating"}, {"source": "4cases", "target": "antecedents"}, {"source": "4cases", "target": "four"}, {"source": "4cases", "target": "possible"}, {"source": "4cases", "target": "cases"}, {"source": "4cases", "target": "result"}, {"source": "4cases", "target": "their"}, {"source": "4cases", "target": "combinations"}, {"source": "4casesdan", "target": "eliminating"}, {"source": "4casesdan", "target": "antecedents"}, {"source": "4casesdan", "target": "four"}, {"source": "4casesdan", "target": "possible"}, {"source": "4casesdan", "target": "cases"}, {"source": "4casesdan", "target": "result"}, {"source": "4casesdan", "target": "their"}, {"source": "4casesdan", "target": "combinations"}, {"source": "niabn", "target": "inference"}, {"source": "dedlem0a", "target": "alternate"}, {"source": "dedlem0a", "target": "version"}, {"source": "dedlem0a", "target": "weak"}, {"source": "dedlem0a", "target": "wolf"}, {"source": "dedlem0a", "target": "lammen,"}, {"source": "dedlem0b", "target": "alternate"}, {"source": "dedlem0b", "target": "version"}, {"source": "dedlem0b", "target": "weak"}, {"source": "dedlema", "target": "weak"}, {"source": "dedlemb", "target": "weak"}, {"source": "elimh", "target": "hypothesis"}, {"source": "elimh", "target": "builder"}, {"source": "elimh", "target": "weak"}, {"source": "elimh", "target": "more"}, {"source": "elimh", "target": "see"}, {"source": "elimh", "target": "link"}, {"source": "elimh", "target": "metamath"}, {"source": "elimh", "target": "explorer"}, {"source": "elimh", "target": "page"}, {"source": "dedt", "target": "weak"}, {"source": "dedt", "target": "more"}, {"source": "dedt", "target": "see"}, {"source": "dedt", "target": "link"}, {"source": "dedt", "target": "metamath"}, {"source": "dedt", "target": "explorer"}, {"source": "dedt", "target": "page"}, {"source": "con3th", "target": "contraposition"}, {"source": "con3th", "target": "[whiteheadrussell]"}, {"source": "con3th", "target": "103"}, {"source": "con3th", "target": "version"}, {"source": "con3th", "target": "use"}, {"source": "con3th", "target": "weak"}, {"source": "con3th", "target": "derive"}, {"source": "consensus", "target": "dual"}, {"source": "consensus", "target": "\\/"}, {"source": "consensus", "target": "commonly"}, {"source": "consensus", "target": "used"}, {"source": "consensus", "target": "logic"}, {"source": "consensus", "target": "eliminate"}, {"source": "consensus", "target": "redundant"}, {"source": "consensus", "target": "terms"}, {"source": "consensus", "target": "expressions"}, {"source": "consensus", "target": "we"}, {"source": "consensus", "target": "prove"}, {"source": "consensus", "target": "term"}, {"source": "consensus", "target": "ps"}, {"source": "consensus", "target": "ch"}, {"source": "consensus", "target": "side"}, {"source": "consensus", "target": "redundant"}, {"source": "consensus", "target": "wolf"}, {"source": "consensus", "target": "lammen,"}, {"source": "pm4.42", "target": "[whiteheadrussell]"}, {"source": "pm4.42", "target": "119"}, {"source": "ninba", "target": "inference"}, {"source": "prlem1", "target": "specialized"}, {"source": "prlem1", "target": "theory"}, {"source": "prlem1", "target": "derive"}, {"source": "prlem1", "target": "axiom"}, {"source": "prlem1", "target": "pairing"}, {"source": "prlem1", "target": "wolf"}, {"source": "prlem1", "target": "lammen,"}, {"source": "prlem2", "target": "specialized"}, {"source": "prlem2", "target": "theory"}, {"source": "prlem2", "target": "derive"}, {"source": "prlem2", "target": "axiom"}, {"source": "prlem2", "target": "pairing"}, {"source": "prlem2", "target": "wolf"}, {"source": "prlem2", "target": "lammen,"}, {"source": "oplem1", "target": "specialized"}, {"source": "oplem1", "target": "theory"}, {"source": "oplem1", "target": "ordered"}, {"source": "oplem1", "target": "pair"}, {"source": "oplem1", "target": "wolf"}, {"source": "oplem1", "target": "lammen,"}, {"source": "rnlem", "target": "used"}, {"source": "rnlem", "target": "construction"}, {"source": "rnlem", "target": "numbers"}, {"source": "dn1", "target": "single"}, {"source": "dn1", "target": "axiom"}, {"source": "dn1", "target": "algebra"}, {"source": "dn1", "target": "known"}, {"source": "dn1", "target": "see"}, {"source": "dn1", "target": "jeffrey"}, {"source": "dn1", "target": "hankins,"}, {"source": "dn1", "target": "wolf"}, {"source": "dn1", "target": "lammen,"}, {"source": "jaoi2", "target": "inference"}, {"source": "jaoi2", "target": "removing"}, {"source": "jaoi2", "target": "negated"}, {"source": "jaoi2", "target": "conjunct"}, {"source": "jaoi2", "target": "disjunction"}, {"source": "jaoi2", "target": "antecedent"}, {"source": "jaoi2", "target": "conjunct"}, {"source": "jaoi2", "target": "disjunction"}, {"source": "jaoi2", "target": "wolf"}, {"source": "jaoi2", "target": "lammen,"}, {"source": "jaoi2OLD", "target": "obsolete"}, {"source": "jaoi3", "target": "inference"}, {"source": "jaoi3", "target": "disjunct"}, {"source": "jaoi3", "target": "antecedent"}, {"source": "3orass", "target": "associative"}, {"source": "3orass", "target": "triple"}, {"source": "3orass", "target": "disjunction"}, {"source": "3anass", "target": "associative"}, {"source": "3anass", "target": "triple"}, {"source": "3anass", "target": "conjunction"}, {"source": "3anrot", "target": "triple"}, {"source": "3anrot", "target": "conjunction"}, {"source": "3orrot", "target": "triple"}, {"source": "3orrot", "target": "disjunction"}, {"source": "3ancoma", "target": "commutation"}, {"source": "3ancoma", "target": "triple"}, {"source": "3ancoma", "target": "conjunction"}, {"source": "3orcoma", "target": "commutation"}, {"source": "3orcoma", "target": "triple"}, {"source": "3orcoma", "target": "disjunction"}, {"source": "3ancomb", "target": "commutation"}, {"source": "3ancomb", "target": "triple"}, {"source": "3ancomb", "target": "conjunction"}, {"source": "3orcomb", "target": "commutation"}, {"source": "3orcomb", "target": "triple"}, {"source": "3orcomb", "target": "disjunction"}, {"source": "3anrev", "target": "reversal"}, {"source": "3anrev", "target": "triple"}, {"source": "3anrev", "target": "conjunction"}, {"source": "3anan32", "target": "convert"}, {"source": "3anan32", "target": "triple"}, {"source": "3anan32", "target": "conjunction"}, {"source": "3anan32", "target": "then"}, {"source": "3anan32", "target": "commute"}, {"source": "3anan32", "target": "jonathan"}, {"source": "3anan12", "target": "convert"}, {"source": "3anan12", "target": "triple"}, {"source": "3anan12", "target": "conjunction"}, {"source": "3anan12", "target": "then"}, {"source": "3anan12", "target": "commute"}, {"source": "3anan12", "target": "jonathan"}, {"source": "anandi3", "target": "distribution"}, {"source": "anandi3", "target": "triple"}, {"source": "anandi3", "target": "conjunction"}, {"source": "anandi3", "target": "over"}, {"source": "anandi3", "target": "conjunction"}, {"source": "anandi3", "target": "david"}, {"source": "anandi3", "target": "wheeler,"}, {"source": "anandi3r", "target": "distribution"}, {"source": "anandi3r", "target": "triple"}, {"source": "anandi3r", "target": "conjunction"}, {"source": "anandi3r", "target": "over"}, {"source": "anandi3r", "target": "conjunction"}, {"source": "anandi3r", "target": "david"}, {"source": "anandi3r", "target": "wheeler,"}, {"source": "3anor", "target": "triple"}, {"source": "3anor", "target": "conjunction"}, {"source": "3anor", "target": "expressed"}, {"source": "3anor", "target": "terms"}, {"source": "3anor", "target": "triple"}, {"source": "3anor", "target": "disjunction"}, {"source": "3anor", "target": "hankins,"}, {"source": "3ianor", "target": "negated"}, {"source": "3ianor", "target": "triple"}, {"source": "3ianor", "target": "conjunction"}, {"source": "3ianor", "target": "expressed"}, {"source": "3ianor", "target": "terms"}, {"source": "3ianor", "target": "triple"}, {"source": "3ianor", "target": "disjunction"}, {"source": "3ianor", "target": "hankins,"}, {"source": "3ioran", "target": "negated"}, {"source": "3ioran", "target": "triple"}, {"source": "3ioran", "target": "disjunction"}, {"source": "3ioran", "target": "triple"}, {"source": "3ioran", "target": "conjunction"}, {"source": "3oran", "target": "triple"}, {"source": "3oran", "target": "disjunction"}, {"source": "3oran", "target": "terms"}, {"source": "3oran", "target": "triple"}, {"source": "3oran", "target": "conjunction"}, {"source": "3simpa", "target": "simplification"}, {"source": "3simpa", "target": "triple"}, {"source": "3simpa", "target": "conjunction"}, {"source": "3simpb", "target": "simplification"}, {"source": "3simpb", "target": "triple"}, {"source": "3simpb", "target": "conjunction"}, {"source": "3simpc", "target": "simplification"}, {"source": "3simpc", "target": "triple"}, {"source": "3simpc", "target": "conjunction"}, {"source": "simp1", "target": "simplification"}, {"source": "simp1", "target": "triple"}, {"source": "simp1", "target": "conjunction"}, {"source": "simp2", "target": "simplification"}, {"source": "simp2", "target": "triple"}, {"source": "simp2", "target": "conjunction"}, {"source": "simp3", "target": "simplification"}, {"source": "simp3", "target": "triple"}, {"source": "simp3", "target": "conjunction"}, {"source": "simpl1", "target": "simplification"}, {"source": "simpl1", "target": "rule"}, {"source": "simpl1", "target": "hankins,"}, {"source": "simpl2", "target": "simplification"}, {"source": "simpl2", "target": "rule"}, {"source": "simpl2", "target": "hankins,"}, {"source": "simpl3", "target": "simplification"}, {"source": "simpl3", "target": "rule"}, {"source": "simpl3", "target": "hankins,"}, {"source": "simpr1", "target": "simplification"}, {"source": "simpr1", "target": "rule"}, {"source": "simpr1", "target": "hankins,"}, {"source": "simpr2", "target": "simplification"}, {"source": "simpr2", "target": "rule"}, {"source": "simpr2", "target": "hankins,"}, {"source": "simpr3", "target": "simplification"}, {"source": "simpr3", "target": "rule"}, {"source": "simpr3", "target": "hankins,"}, {"source": "simp1i", "target": "infer"}, {"source": "simp1i", "target": "conjunct"}, {"source": "simp1i", "target": "triple"}, {"source": "simp1i", "target": "conjunction"}, {"source": "simp2i", "target": "infer"}, {"source": "simp2i", "target": "conjunct"}, {"source": "simp2i", "target": "triple"}, {"source": "simp2i", "target": "conjunction"}, {"source": "simp3i", "target": "infer"}, {"source": "simp3i", "target": "conjunct"}, {"source": "simp3i", "target": "triple"}, {"source": "simp3i", "target": "conjunction"}, {"source": "simp1d", "target": "deduce"}, {"source": "simp1d", "target": "conjunct"}, {"source": "simp1d", "target": "triple"}, {"source": "simp1d", "target": "conjunction"}, {"source": "simp2d", "target": "deduce"}, {"source": "simp2d", "target": "conjunct"}, {"source": "simp2d", "target": "triple"}, {"source": "simp2d", "target": "conjunction"}, {"source": "simp3d", "target": "deduce"}, {"source": "simp3d", "target": "conjunct"}, {"source": "simp3d", "target": "triple"}, {"source": "simp3d", "target": "conjunction"}, {"source": "simp1bi", "target": "deduce"}, {"source": "simp1bi", "target": "conjunct"}, {"source": "simp1bi", "target": "triple"}, {"source": "simp1bi", "target": "conjunction"}, {"source": "simp1bi", "target": "jonathan"}, {"source": "simp2bi", "target": "deduce"}, {"source": "simp2bi", "target": "conjunct"}, {"source": "simp2bi", "target": "triple"}, {"source": "simp2bi", "target": "conjunction"}, {"source": "simp2bi", "target": "jonathan"}, {"source": "simp3bi", "target": "deduce"}, {"source": "simp3bi", "target": "conjunct"}, {"source": "simp3bi", "target": "triple"}, {"source": "simp3bi", "target": "conjunction"}, {"source": "simp3bi", "target": "jonathan"}, {"source": "3adant1", "target": "adding"}, {"source": "3adant1", "target": "conjunct"}, {"source": "3adant1", "target": "antecedent"}, {"source": "3adant2", "target": "adding"}, {"source": "3adant2", "target": "conjunct"}, {"source": "3adant2", "target": "antecedent"}, {"source": "3adant3", "target": "adding"}, {"source": "3adant3", "target": "conjunct"}, {"source": "3adant3", "target": "antecedent"}, {"source": "3ad2ant1", "target": "adding"}, {"source": "3ad2ant1", "target": "conjuncts"}, {"source": "3ad2ant1", "target": "antecedent"}, {"source": "3ad2ant2", "target": "adding"}, {"source": "3ad2ant2", "target": "conjuncts"}, {"source": "3ad2ant2", "target": "antecedent"}, {"source": "3ad2ant3", "target": "adding"}, {"source": "3ad2ant3", "target": "conjuncts"}, {"source": "3ad2ant3", "target": "antecedent"}, {"source": "simp1l", "target": "simplification"}, {"source": "simp1l", "target": "triple"}, {"source": "simp1l", "target": "conjunction"}, {"source": "simp1r", "target": "simplification"}, {"source": "simp1r", "target": "triple"}, {"source": "simp1r", "target": "conjunction"}, {"source": "simp2l", "target": "simplification"}, {"source": "simp2l", "target": "triple"}, {"source": "simp2l", "target": "conjunction"}, {"source": "simp2r", "target": "simplification"}, {"source": "simp2r", "target": "triple"}, {"source": "simp2r", "target": "conjunction"}, {"source": "simp3l", "target": "simplification"}, {"source": "simp3l", "target": "triple"}, {"source": "simp3l", "target": "conjunction"}, {"source": "simp3r", "target": "simplification"}, {"source": "simp3r", "target": "triple"}, {"source": "simp3r", "target": "conjunction"}, {"source": "simp11", "target": "simplification"}, {"source": "simp11", "target": "doubly"}, {"source": "simp11", "target": "triple"}, {"source": "simp11", "target": "conjunction"}, {"source": "simp12", "target": "simplification"}, {"source": "simp12", "target": "doubly"}, {"source": "simp12", "target": "triple"}, {"source": "simp12", "target": "conjunction"}, {"source": "simp13", "target": "simplification"}, {"source": "simp13", "target": "doubly"}, {"source": "simp13", "target": "triple"}, {"source": "simp13", "target": "conjunction"}, {"source": "simp21", "target": "simplification"}, {"source": "simp21", "target": "doubly"}, {"source": "simp21", "target": "triple"}, {"source": "simp21", "target": "conjunction"}, {"source": "simp22", "target": "simplification"}, {"source": "simp22", "target": "doubly"}, {"source": "simp22", "target": "triple"}, {"source": "simp22", "target": "conjunction"}, {"source": "simp23", "target": "simplification"}, {"source": "simp23", "target": "doubly"}, {"source": "simp23", "target": "triple"}, {"source": "simp23", "target": "conjunction"}, {"source": "simp31", "target": "simplification"}, {"source": "simp31", "target": "doubly"}, {"source": "simp31", "target": "triple"}, {"source": "simp31", "target": "conjunction"}, {"source": "simp32", "target": "simplification"}, {"source": "simp32", "target": "doubly"}, {"source": "simp32", "target": "triple"}, {"source": "simp32", "target": "conjunction"}, {"source": "simp33", "target": "simplification"}, {"source": "simp33", "target": "doubly"}, {"source": "simp33", "target": "triple"}, {"source": "simp33", "target": "conjunction"}, {"source": "simpll1", "target": "simplification"}, {"source": "simpll1", "target": "conjunction"}, {"source": "simpll2", "target": "simplification"}, {"source": "simpll2", "target": "conjunction"}, {"source": "simpll3", "target": "simplification"}, {"source": "simpll3", "target": "conjunction"}, {"source": "simplr1", "target": "simplification"}, {"source": "simplr1", "target": "conjunction"}, {"source": "simplr2", "target": "simplification"}, {"source": "simplr2", "target": "conjunction"}, {"source": "simplr3", "target": "simplification"}, {"source": "simplr3", "target": "conjunction"}, {"source": "simprl1", "target": "simplification"}, {"source": "simprl1", "target": "conjunction"}, {"source": "simprl2", "target": "simplification"}, {"source": "simprl2", "target": "conjunction"}, {"source": "simprl3", "target": "simplification"}, {"source": "simprl3", "target": "conjunction"}, {"source": "simprr1", "target": "simplification"}, {"source": "simprr1", "target": "conjunction"}, {"source": "simprr2", "target": "simplification"}, {"source": "simprr2", "target": "conjunction"}, {"source": "simprr3", "target": "simplification"}, {"source": "simprr3", "target": "conjunction"}, {"source": "simpl1l", "target": "simplification"}, {"source": "simpl1l", "target": "conjunction"}, {"source": "simpl1r", "target": "simplification"}, {"source": "simpl1r", "target": "conjunction"}, {"source": "simpl2l", "target": "simplification"}, {"source": "simpl2l", "target": "conjunction"}, {"source": "simpl2r", "target": "simplification"}, {"source": "simpl2r", "target": "conjunction"}]}