Theorems · Theorem · Lie groups
nhds_translation_mul_inv
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Group G] [IsTopologicalGroup G] (x : G),
Filter.comap (fun x_1 => x_1 * x⁻¹) (nhds 1) = nhds x- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement · cited by 8,121
- Groupstatement and proof · cited by 6,238
- nhdsstatement and proof · cited by 5,554
- one_mulproof · cited by 2,841
- Filter.comapstatement · cited by 546
- inv_invproof · cited by 494
- IsTopologicalGroupstatement and proof · cited by 469
- Homeomorph.comap_nhds_eqproof · cited by 23
- Homeomorph.mulRightproof · cited by 13
Cited by4
Results whose statement or proof uses this declaration.
- IsTopologicalGroup.extproof · cited by 1
- Filter.HasBasis.nhds_of_oneproof · cited by 1
- IsTopologicalGroup.isInducing_iff_nhds_oneproof · cited by 0
- nhds_translation_divproof · cited by 0