From d94f5d2a23a149c4efcb87fa8a8c04d6301e60ca Mon Sep 17 00:00:00 2001 From: Reynald Affeldt Date: Tue, 14 Nov 2023 22:16:11 +0900 Subject: [PATCH] fix --- CHANGELOG_UNRELEASED.md | 49 ----------------------------------------- theories/cantor.v | 18 +++++++-------- 2 files changed, 8 insertions(+), 59 deletions(-) diff --git a/CHANGELOG_UNRELEASED.md b/CHANGELOG_UNRELEASED.md index c1665ced71..55dedd5e49 100644 --- a/CHANGELOG_UNRELEASED.md +++ b/CHANGELOG_UNRELEASED.md @@ -4,55 +4,6 @@ ### Added -- in `kernel.v`: - + `kseries` is now an instance of `Kernel_isSFinite_subdef` -- in `classical_sets.v`: - + lemma `setU_id2r` -- in `lebesgue_measure.v`: - + lemma `compact_measurable` - -- in `measure.v`: - + lemmas `outer_measure_subadditive`, `outer_measureU2` - -- in `lebesgue_measure.v`: - + declare `lebesgue_measure` as a `SigmaFinite` instance - + lemma `lebesgue_regularity_inner_sup` -- in `convex.v`: - + lemmas `conv_gt0`, `convRE` - -- in `exp.v`: - + lemmas `concave_ln`, `conjugate_powR` - -- in file `lebesgue_integral.v`, - + new lemmas `integral_le_bound`, `continuous_compact_integrable`, and - `lebesgue_differentiation_continuous`. - -- in `normedtype.v`: - + lemmas `open_itvoo_subset`, `open_itvcc_subset` - -- in `lebesgue_measure.v`: - + lemma `measurable_ball` - -- in file `normedtype.v`, - + new lemmas `normal_openP`, `uniform_regular`, - `regular_openP`, and `pseudometric_normal`. -- in file `topology.v`, - + new definition `regular_space`. - + new lemma `ent_closure`. - -- in file `lebesgue_integral.v`, - + new lemmas `simple_bounded`, `measurable_bounded_integrable`, - `compact_finite_measure`, `approximation_continuous_integrable` - -- in `sequences.v`: - + lemma `cvge_harmonic` - -- in `mathcomp_extra.v`: - + lemmas `le_bigmax_seq`, `bigmax_sup_seq` - -- in `constructive_ereal.v`: - + lemma `bigmaxe_fin_num` - - in file `cantor.v`, + new definitions `cantor_space`, `cantor_like`, `pointedDiscrete`, and `tree_of`. diff --git a/theories/cantor.v b/theories/cantor.v index 6aca4ade5a..41268b1570 100644 --- a/theories/cantor.v +++ b/theories/cantor.v @@ -285,8 +285,7 @@ Let c_ind n (V : set T) (b : bool) := Local Lemma cantor_map : exists f : cantor_space -> T, [/\ continuous f, set_surj [set: cantor_space] [set: T] f & - set_inj [set: cantor_space] f - ]. + set_inj [set: cantor_space] f ]. Proof. have [] := @tree_map_props (fun=> [topologicalType of bool]) T c_ind c_invar cmptT hsdfT. @@ -390,14 +389,13 @@ Context (t0 t1 : T). Hypothesis T2e : t0 != t1. Local Lemma ent_balls' (E : set (T * T)) : - exists M : set (set T), - entourage E -> [/\ - finite_set M, - forall A, M A -> exists a, A a /\ - A `<=` closure [set y | split_ent E (a, y)], - exists A B : set T, M A /\ M B /\ A != B, - \bigcup_(A in M) A = [set: T] & - M `<=` closed]. + exists M : set (set T), entourage E -> [/\ + finite_set M, + forall A, M A -> exists a, A a /\ + A `<=` closure [set y | split_ent E (a, y)], + exists A B : set T, M A /\ M B /\ A != B, + \bigcup_(A in M) A = [set: T] & + M `<=` closed]. Proof. have [entE|?] := pselect (entourage E); last by exists point. move: cptT; rewrite compact_cover.