Theorems · Theorem · Lie groups
Filter.inv_nhdsNE
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : InvolutiveInv G] [ContinuousInv G] {a : G},
(nhdsWithin a {a}ᶜ)⁻¹ = nhdsWithin a⁻¹ {a⁻¹}ᶜ- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites16
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
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement and proof · cited by 1,912
- Filter.mapproof · cited by 819
- InvolutiveInvstatement and proof · cited by 102
- ContinuousInvstatement and proof · cited by 89
- Homeomorph.isEmbeddingproof · cited by 73
- Set.image_inv_eq_invproof · cited by 44
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