Theorems · Definition · general topology
UniformEquiv.toEquiv
{α : Type u_4} → {β : Type u_5} → [inst : UniformSpace α] → [inst_1 : UniformSpace β] → α ≃ᵤ β → α ≃ β- Defined in
- Mathlib.Topology.UniformSpace.Equiv
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- UniformSpaceUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- UniformSpacestatement and proof · cited by 2,040
- UniformEquivstatement and proof · cited by 80
Cited by31
Results whose statement or proof uses this declaration.
- UniformEquiv.symmproof · cited by 28
- UniformEquiv.toHomeomorphproof · cited by 7
- UniformEquiv.piCongrRightproof · cited by 4
- LaurentSeries.ratfuncAdicComplRingEquivproof · cited by 3
- UniformEquiv.injectiveproof · cited by 2
- UniformEquiv.prodCongrproof · cited by 2
- UniformEquiv.subtypeproof · cited by 2
- UniformEquiv.apply_symm_applyproof · cited by 1
- UniformEquiv.symm_apply_applyproof · cited by 1
- UniformEquiv.toEquiv_injectivestatement and proof · cited by 1
- UniformEquiv.transproof · cited by 1
- UniformEquiv.uniformContinuous_invFunstatement · cited by 1