mathlib3
55d771df - feat(topology/*): add lemmas about `𝓝[⋃ i, s i] a` (#18321)

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2 years ago
feat(topology/*): add lemmas about `𝓝[⋃ i, s i] a` (#18321) * Add `theorem nhds_within_eq_nhds`, `nhds_within_bUnion`, `nhds_within_sUnion`, `nhds_within_Union`, `nhds_within_inter_of_mem'`. * Add `locally_finite.nhds_within_Union`, use it to golf `locally_finite.is_closed_Union` and `locally_finite.closure_Union`. * Reformulate `continuous_subtype_nhds_cover` in terms of `continuous_on`, rename to `continuous_of_cover_nhds`. * Reformulate `continuous_subtype_is_closed_cover` in terms of `continuous_on`, several versions are named `locally_finite.continuous_on_Union`, `locally_finite.continuous`, and primed versions of these lemmas. * Reorder imports. Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
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