Theorems · Definition · Lie groups
UniformEquiv.inv
(G : Type u_1) → [inst : Group G] → [inst_1 : TopologicalSpace G] → [inst_2 : IsTopologicalGroup G] → G ≃ᵤ G
Inversion on a topological group, as a uniform equivalence between the right uniformity and the left uniformity.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Groupstatement and proof · cited by 6,238
- IsTopologicalGroupstatement and proof · cited by 469
- UniformContinuousproof · cited by 410
- UniformEquivstatement · cited by 80
- Equiv.invproof · cited by 23
- IsTopologicalGroup.rightUniformSpacestatement · cited by 16
- IsTopologicalGroup.leftUniformSpacestatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- IsTopologicalGroup.completeSpace_rightUniformSpace_iff_leftUniformSpaceproof · cited by 0