Theorems · Theorem · Lie groups
Filter.map_subLeft_nhdsNE
∀ {G : Type w} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [IsTopologicalAddGroup G] {c a : G},
Filter.map (fun x => c - x) (nhdsWithin a {a}ᶜ) = nhdsWithin (c - a) {c - a}ᶜ- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement and proof · cited by 8,121
- Set.imageproof · cited by 5,609
- AddGroupstatement and proof · cited by 4,410
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement and proof · cited by 1,912
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- Filter.mapstatement and proof · cited by 819
- Set.image_congrproof · cited by 533
- Homeomorph.isEmbeddingproof · cited by 73
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