changelog for version 1.16.0

CHANGELOG.md

@@ -1,6 +1,360 @@
 # Changelog
 
-Latest releases: [[1.15.0] - 2026-01-15](#1150---2026-01-15), [[1.14.0] - 2025-11-07](#1140---2025-11-07), and [[1.13.0] - 2025-08-16](#1130---2025-08-16)
+Latest releases: [[1.16.0] - 2026-03-17](#1160---2026-03-17), [[1.15.0] - 2026-01-15](#1150---2026-01-15), and [[1.14.0] - 2025-11-07](#1140---2025-11-07)
+
+## [1.16.0] - 2026-03-17
+
+### Added
+
+- in `unstable.v`:
+  + lemmas `oppr_itvNy`, `oppr_itvy`
+  + lemmas `ltr_norm_bound`, `real_ltr_bound`, `real_ltrNbound`, `ltr_bound`,
+    `ltrNbound`
+
+- in `classical_sets.v`
+  + lemma `in_set1_eq`
+
+- in `functions.v`:
+  + lemmas `fun_maxC`, `fun_minC`, `min_fun_to_max`, `max_fun_to_min`
+  + lemma `addBrfctE`
+
+- in set_interval.v
+  + lemmas `setUitv_set2`, `setDitv_set2`, `setDitvoo`, `setDitvoy`, `setDitvNyo`,
+    `setDccitv`, `setD_cbnd_bndy`, `setD_bndc_Nybnd`
+  + definitions `itv_is_closed_unbounded`, `itv_is_cc`, `itv_closed_ends`
+  + lemmas `opp_preimage_itvbndy`, `opp_preimage_itvbndbnd`
+
+- in `Rstruct.v`:
+  + lemmas `R0E` and `R1E`
+  + multirule `RealsE` to convert from Stdlib reals to Analysis ones
+
+- in `Rstruct_topology.v`:
+  + lemma `RlnE`
+
+- in `convex.v`:
+  + lemma `convex_setW`
+
+- in `topology_structure.v`
+  + lemma `interiorS`
+  + lemma `not_limit_pointE`
+
+- in `order_topology.v`
+  + lemma `itv_closed_ends_closed`
+
+- in `num_topology.v`:
+  + lemmas `cvg_dnbhs_at_right`, `cvg_dnbhs_at_left`
+
+- in `subtype_topology.v`:
+  + lemma `within_continuous_comp`
+
+- in `separation_axioms.v`:
+  + lemmas `limit_point_closed`
+
+- in `pseudometric_normed_Zmodule.v`:
+  + lemmas `within_continuousB`, `within_continuousD`
+
+- in `normed_module.v`:
+  + lemma `within_continuous_compN`
+  + lemma `compact_has_sup`
+
+- in `derive.v`:
+  + lemmas `derivable_mxP`, `derive_mx`
+  + lemmas `compact_EVT_max`, `compact_EVT_min`, `EVT_max_rV`, `EVT_min_rV`
+  + lemmas `derivable_max`, `derive_maxl`, `derive_maxr` `derivable_min`, `derive_minl`, `derive_minr`
+  + lemmas `derivable0`, `derive0`, `is_derive0`
+
+- in `numfun.v`:
+  + defintions `funrpos`, `funrneg` with notations `^\+` and `^\-`
+  + lemmas `funrpos_ge0`, `funrneg_ge0`, `funrposN`, `funrnegN`, `ge0_funrposE`,
+    `ge0_funrnegE`, `le0_funrposE`, `le0_funrnegE`, `ge0_funrposM`, `ge0_funrnegM`,
+    `le0_funrposM`, `le0_funrnegM`, `funrposDneg`, `funrposBneg`,
+    `funrD_posD`, `funrpos_le`, `funrneg_le`
+  + lemmas `funerpos`, `funerneg`
+
+- in `measurable_structure.v`:
+  + definitions `preimage_display`, `g_sigma_algebra_preimageType`,
+    `g_sigma_algebra_preimage`
+  +  notations `.-preimage`, `.-preimage.-measurable`
+
+- in `measurable_function.v`:
+  + lemma `preimage_set_system_compS`
+  + lemmas `lt_le_nbhsr`, `lt_le_nbhsl`
+
+- in `measurable_realfun.v`:
+  + definition `min_mfun`
+  + lemmas `emeasurable_fun_itv_obnd_cbndP`, `emeasurable_fun_itv_bndo_bndcP`,
+    `emeasurable_fun_itv_cc`
+  + lemmas `measurable_funrpos`, `measurable_funrneg`
+
+- in `lebesgue_measure.v`:
+  + lemma `lebesgue_measure_unique`
+
+- in `lebesgue_integral_nonneg.v`:
+  + lemmas `lebesgue_measureN`, `ge0_integration_by_substitution0`
+  + lemma `integral_setU`
+
+- in `lebesgue_integrable.v`:
+  + lemmas `integrable_funrpos`, `integrable_funrneg`
+
+- in `random_variable.v`
+  + lemma `pmf_ge0`
+  + lemmas `pmf_gt0_countable`, `pmf_measurable`
+  + lemmas `lebesgue_integral_pmf`, `cdf_measurable`, `ccdf_measurable`,
+    `le0_expectation_cdf`, `expectation_cdf_ccdf`
+
+### Changed
+
+- moved from `filter.v` to `classical_sets.v`:
+  + definition `set_system`
+
+- in classical_sets.v
+  + lemma `in_set1` (statement changed)
+
+- in set_interval.v
+  + `setUitv1`, `setU1itv`, `setDitv1l`, `setDitv1r` (generalized)
+  + `itv_is_closed_unbounded` (fix the definition)
+  + `itv_is_open_unbounded`, `itv_is_oo`, `itv_open_ends` (Prop to bool)
+
+- in `constructive_ereal.v`: fixed the infamous `%E` scope bug.
+
+- moved from `convex.v` to `realfun.v`
+  + lemma `second_derivative_convex`
+
+- in `subspace_topology.v`:
+  + lemmas `open_subspaceP` and `closed_subspaceP` (use `exists2` instead of `exists`)
+
+- moved from `measurable_structure.v` to `classical_sets.v`:
+  + definitions `setI_closed`, `setU_closed`
+
+- moved from `theories` to `theories/topology_theory`:
+  + file `function_spaces.v`
+
+- moved from `theories` to `theories/normedtype_theory`:
+  + file `tvs.v`
+
+- moved from `tvs.v` to `pseudometric_normed_Zmodule.v`:
+  + definitions `NbhsNmodule`, `NbhsZmodule`, `PreTopologicalNmodule`,
+    `PreTopologicalZmodule`, `PreUniformNmodule`, `PreUniformZmodule`
+
+- in `tvs.v`, turned into `Let`'s:
+  + local lemmas `standard_add_continuous`, `standard_scale_continuous`,
+    `standard_locally_convex`
+
+- moved from `normed_module.v` to `pseudometric_normed_Zmodule.v` and
+  generalized from `normedModType` to `pseudoMetricNormedZmodType`
+  + lemma `ball_open` (`0 < r` hypothesis also not needed anymore)
+  + lemma `near_shift`
+  + lemma `cvg_comp_shift`
+  + lemma `ball_open_nbhs`
+
+- in `normed_module.v`, turned into `Let`'s:
+  + local lemmas `add_continuous`, `scale_continuous`, `locally_convex`
+
+- moved from `tvs.v` to `convex.v`
+  + definition `convex`, renamed to `convex_set`
+
+- moved from `realfun.v` to `metric_structure.v`:
+  + lemma `cvg_at_right_left_dnbhs` and generalized to `metricType R`
+
+- moved from `realfun.v` to `num_topology.v`:
+  + lemma `left_right_continuousP`
+
+- in `lebesgue_Rintegrable.v`:
+  + lemma `Rintegral_cst` (does not use `cst` anymore)
+
+- split `probability.v` into directory `probability_theory` and move contents as:
+  + file `probability.v`:
+  + file `bernoulli_distribution.v`:
+    * definitions `bernoulli_pmf`, `bernoulli_prob`
+    * lemmas `bernoulli_pmf_ge0`, `bernoulli_pmf1`, `measurable_bernoulli_pmf`,
+      `eq_bernoulli`, `bernoulli_dirac`, `eq_bernoulliV2`, `bernoulli_probE`,
+      `measurable_bernoulli_prob`, `measurable_bernoulli_prob2`
+  + file `beta_distribution.v`:
+    * lemmas `continuous_onemXn`, `onemXn_derivable`,
+      `derivable_oo_LRcontinuous_onemXnMr`, `derive_onemXn`, `Rintegral_onemXn`
+    * definition `XMonemX`
+    * lemmas `XMonemX_ge0`, `XMonemX_le1`, `XMonemX0n`, `XMonemXn0`, `XMonemX00`,
+      `XMonemXC`, `XMonemXM`, `continuous_XMonemX`, `within_continuous_XMonemX`,
+      `measurable_XMonemX`, `bounded_XMonemX`, `integrable_XMonemX`,
+      `integrable_XMonemX_restrict`, `integral_XMonemX_restrict`
+    * definition `beta_fun`
+    * lemmas `EFin_beta_fun`, `beta_fun_sym`, `beta_fun0n`, `beta_fun00`, `beta_fun1Sn`,
+      `beta_fun11`, `beta_funSSnSm`, `beta_funSnSm`, `beta_fun_fact`, `beta_funE`,
+      `beta_fun_gt0`, `beta_fun_ge0`
+    * definition `beta_pdf`
+    * lemmas `measurable_beta_pdf`, `beta_pdf_ge0`, `beta_pdf_le_beta_funV`,
+      `integrable_beta_pdf`, `bounded_beta_pdf_01`
+    * definition `beta_prob`
+    * lemmas `integral_beta_pdf`, `beta_prob01`, `beta_prob_fin_num`, `beta_prob_dom`,
+      `beta_prob_uniform`, `integral_beta_prob_bernoulli_prob_lty`,
+      `integral_beta_prob_bernoulli_prob_onemX_lty`,
+      `integral_beta_prob_bernoulli_prob_onem_lty`, `beta_prob_integrable`,
+      `beta_prob_integrable_onem`, `beta_prob_integrable_dirac`,
+      `beta_prob_integrable_onem_dirac`, `integral_beta_prob`
+    * definition `div_beta_fun`
+    * lemmas `div_beta_fun_ge0`, `div_beta_fun_le1`
+    * definition `beta_prob_bernoulli_prob`
+    * lemmas `beta_prob_bernoulli_probE`
+  + file `binomial_distribution.v`:
+    * definition `binomial_pmf`
+    * lemmas `measurable_binomial_pmf`
+    * definition `binomial_prob`
+    * definition `bin_prob`
+    * lemmas `bin_prob0`, `bin_prob1`, `binomial_msum`, `binomial_probE`,
+      `integral_binomial`, `integral_binomial_prob`, `measurable_binomial_prob`
+  + file `exponential_distribution.v`:
+    * definition `exponential_pdf`
+    * lemmas `exponential_pdf_ge0`, `lt0_exponential_pdf`, `measurable_exponential_pdf`,
+      `exponential_pdfE`, `in_continuous_exponential_pdf`,
+      `within_continuous_exponential_pdf`
+    * definition `exponential_prob`
+    * lemmas `derive1_exponential_pdf`, `exponential_prob_itv0c`,
+      `integral_exponential_pdf`, `integrable_exponential_pdf`
+  + file `normal_distribution.v`:
+    * definition `normal_fun`
+    * lemmas `measurable_normal_fun`, normal_fun_ge0`, `normal_fun_center`
+    * definition `normal_peak`
+    * lemmas `normal_peak_ge0`, `normal_peak_gt0`
+    * definition `normal_pdf`
+    * lemmas `normal_pdfE`, `measurable_normal_pdf`, `normal_pdf_ge0`,
+      `continuous_normal_pdf`, `normal_pdf_ub`
+    * definition `normal_prob`
+    * lemmas `integral_normal_pdf`, `integrable_normal_pdf`, `normal_prob_dominates`
+  + file `poisson_distribution.v`:
+    * definition `poisson_pmf`
+    * lemmas `poisson_pmf_ge0`, `measurable_poisson_pmf`
+    * definition `poisson_prob`
+    * lemma `measurable_poisson_prob`
+  + file `uniform_distribution.v`:
+    * definition `uniform_pdf`
+    * lemmas `uniform_pdf_ge0`, `measurable_uniform_pdf`, `integral_uniform_pdf`,
+      `integral_uniform_pdf1`
+    * definition `uniform_prob`
+    * lemmmas `integrable_uniform_pdf`, `dominates_uniform_prob`,
+      `integral_uniform`
+  + file `random_variable.v`:
+    * definition `random_variable`
+    * lemmas `notin_range_measure`, `probability_range`
+    * definition `distribution`
+    * lemmas `probability_distribution`, `ge0_integral_distribution`,
+      `integral_distribution`
+    * definition `cdf`
+    * lemmas `cdf_ge0`, `cdf_le1`, `cdf_nondecreasing`, `cvg_cdfy1`, `cvg_cdfNy0`,
+      `cdf_right_continuous`, `cdf_lebesgue_stieltjes_id`, `lebesgue_stieltjes_cdf_id`,
+    * definition `ccdf`
+    * lemmas `cdf_ccdf_1`
+    * corollaries `ccdf_cdf_1`, `ccdf_1_cdf`, `cdf_1_ccdf`
+    * lemmas `ccdf_nonincreasing`, `cvg_ccdfy0`, `cvg_ccdfNy1`, `ccdf_right_continuous`
+    * definition `expectation`
+    * lemmas `expectation_def`, `expectation_fin_num`, `expectation_cst`,
+      `expectation_indic`, `integrable_expectation`, `expectationZl`,
+      `expectation_ge0`, `expectation_le`, `expectationD`, `expectationB`,
+      `expectation_sum`, `ge0_expectation_ccdf`
+    * definition `covariance`
+    * lemmas `covarianceE`, `covarianceC`, `covariance_fin_num`,
+      `covariance_cst_l`, `covariance_cst_r`, `covarianceZl`, `covarianceZr`,
+      `covarianceNl`, `covarianceNr`, `covarianceNN`, `covarianceDl`, `covarianceDr`,
+      `covarianceBl`, `covarianceBr`
+    * definition `variance`
+    * lemmas `varianceE`, `variance_fin_num`, `variance_ge0`, `variance_cst`,
+      `varianceZ`, `varianceN`, `varianceD`, `varianceB`, `varianceD_cst_l`,
+      `varianceD_cst_r`, `varianceB_cst_l`, `varianceB_cst_r`, `covariance_le`
+    * definition `mmt_gen_fun`
+    * lemmas `markov`, `chernoff`, `chebyshev`, `cantelli`
+    * definition `discrete_random_variable`
+    * lemmas `dRV_dom_enum`
+    * definitions `dRV_dom`, `dRV_enum`, `enum_prob`
+    * lemmas `distribution_dRV_enum`, `distribution_dRV`, `sum_enum_prob`
+    * definition `pmf`
+    * lemmas `pmf_ge0`, `pmf_gt0_countable`, `pmf_measurable`, `dRV_expectation`,
+      `expectation_pmf`
+
+### Renamed
+
+- in `set_interval.v`:
+  + `itv_is_ray` -> `itv_is_open_unbounded`
+  + `itv_is_bd_open` -> `itv_is_oo`
+
+- in `topology_structure.v`
+  + `closure_subset` -> `closureS`
+  + `closed_comp` -> `preimage_closed`
+  + `clopen_comp` -> `preimage_clopen`
+
+- `weak_topology.v` -> `initial_topology.v`
+  + `weak_topology` -> `initial_topology`
+  + `weak_continuous` -> `initial_continuous`
+  + `weak_ent` -> `initial_ent`
+  + `weak_ball` -> `initial_ball`
+  + `weak_ballE` -> `initial_ballE`
+  + `open_order_weak` -> `open_order_initial`
+  + `continuous_comp_weak` -> `continuous_comp_initial`
+
+- in `subspace_topology.v`:
+  + `weak_subspace_open` -> `initial_subspace_open`
+  + `continuousFunType` -> `continuousSubspaceType`
+  + `ContinuousFun` -> `ContinuousSubspace`
+
+- in `functions_spaces.v`:
+  + `weak_sep_cvg` -> `initial_sep_cvg`
+  + `weak_sep_nbhsE` -> `initial_sep_nbhsE`
+  + `weak_sep_openE` -> `initial_sep_openE`
+  + `join_product_weak` -> `join_product_initial`
+
+- in `one_point_compactification.v`:
+  + `one_point_compactification_weak_topology` ->
+    `one_point_compactification_initial_topology`
+
+- in `lebesgue_integral_nonneg.v`:
+  + `integral_setD1_EFin` -> `integral_setD1`
+
+### Generalized
+
+- in `convex.v`:
+  + definition `convex_function` (from a `realType` as domain to a
+    `convex_lmodType` as domain)
+
+- in `num_topology.v`:
+  + lemma `lt_nbhsl`
+
+- in `derive.v`:
+  + lemmas `near_eq_growth_rate`, `near_eq_derivable`, `near_eq_derive`,
+    `near_eq_is_derive` (one less hypothesis)
+
+- in `exp.v`:
+  + lemma `derivable_powR`
+
+- in `lebesgue_integral_nonneg.v`:
+  + lemmas `integral_itv_bndo_bndc`, `integral_itv_obnd_cbnd`,
+    `integral_itv_bndoo`
+
+### Deprecated
+
+- in `classical_sets.v`:
+  + lemma `mem_setT`
+
+- in `lebesgue_integral_nonneg.v`:
+  + lemma `integral_setU_EFin`
+
+### Removed
+
+- in `boolp.v`:
+  + notation `eq_exists2` (was deprecated since version 1.10.0)
+
+- in `simple_functions.v`:
+  + definition `max_sfun`
+
+- in `weak_topology.v`:
+  + lemmas `weak_ent_filter`, `weak_ent_refl`, `weak_ent_inv`,
+    `weak_ent_split`, `weak_ent_nbhs`, `weak_pseudo_metric_ball_center`,
+    `weak_pseudo_metric_entourageE`
+    (now `Let`'s in `initial_topology.v`)
+
+- in `measurable_realfun.v`:
+  + lemma `max_mfun_subproof` (has become a `Let`)
+
+- in `lebesgue_integral_nonneg.v`:
+  + lemma `integral_setU` (was deprecated since version 1.0.1)
+
 
 ## [1.15.0] - 2026-01-15