diff --git a/CHANGELOG_UNRELEASED.md b/CHANGELOG_UNRELEASED.md index 531fe28a7e..9fee1fd696 100644 --- a/CHANGELOG_UNRELEASED.md +++ b/CHANGELOG_UNRELEASED.md @@ -153,6 +153,9 @@ - in `Rstruct.v`: + lemma `RsqrtE` +- in `normedtype.v`: + + `cvg_at_right_filter`, `cvg_at_left_filter` + ### Deprecated ### Removed diff --git a/theories/normedtype.v b/theories/normedtype.v index 4ec2cd6271..686872e076 100644 --- a/theories/normedtype.v +++ b/theories/normedtype.v @@ -1514,10 +1514,12 @@ End open_itv_subset. Section at_left_right_topologicalType. Variables (R : numFieldType) (V : topologicalType) (f : R -> V) (x : R). -Lemma cvg_at_right_filter : f z @[z --> x] --> f x -> f z @[z --> x^'+] --> f x. +Lemma cvg_at_right_filter (l : V) : + f z @[z --> x] --> l -> f z @[z --> x^'+] --> l. Proof. exact: (@cvg_within_filter _ _ _ (nbhs x)). Qed. -Lemma cvg_at_left_filter : f z @[z --> x] --> f x -> f z @[z --> x^'-] --> f x. +Lemma cvg_at_left_filter (l : V) : + f z @[z --> x] --> l -> f z @[z --> x^'-] --> l. Proof. exact: (@cvg_within_filter _ _ _ (nbhs x)). Qed. Lemma cvg_at_right_within : f x @[x --> x^'+] --> f x -> @@ -2494,7 +2496,7 @@ End prod_NormedModule. Section example_of_sharing. Variables (K : numDomainType). -Example matrix_triangke m n (M N : 'M[K]_(m.+1, n.+1)) : +Example matrix_triangle m n (M N : 'M[K]_(m.+1, n.+1)) : `|M + N| <= `|M| + `|N|. Proof. exact: ler_normD. Qed. diff --git a/theories/topology_theory/topology_structure.v b/theories/topology_theory/topology_structure.v index 5bbcd306c6..1b6b57aae1 100644 --- a/theories/topology_theory/topology_structure.v +++ b/theories/topology_theory/topology_structure.v @@ -919,7 +919,6 @@ Proof. by rewrite -interiorC interiorEbigcup. Qed. #[deprecated(since="mathcomp-analysis 1.7.0", note="use `interiorC` and `interiorEbigcup` instead")] Notation closureC := closureC_deprecated (only parsing). - Definition dense (T : topologicalType) (S : set T) := forall (O : set T), O !=set0 -> open O -> O `&` S !=set0.