Mathlib Map

Theorems · Definition · general topology

UniformEquiv.refl

(α : Type u_4) → [inst : UniformSpace α] → α ≃ᵤ α

Identity map as a uniform isomorphism.

Defined in
Mathlib.Topology.UniformSpace.Equiv
Cited by
5 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
UniformSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SpectrumRestricts.isClosedEmbedding_starAlgHom · cited by 1SpectrumRestricts.isClose…UniformEquiv.refl_apply · cited by 0UniformEquiv.refl_applyUniformEquiv.refl_symm · cited by 0UniformEquiv.refl_symmUniformEquiv.piCongrLeft_refl · cited by 0UniformEquiv.piCongrLeft_…UniformEquiv.piCongrRight_refl · cited by 0UniformEquiv.piCongrRight…Equiv · cited by 8337EquivUniformSpace · cited by 2040UniformSpaceEquiv.refl · cited by 274Equiv.reflUniformEquiv · cited by 80UniformEquivuniformContinuous_id · cited by 51uniformContinuous_idUniformEquiv.reflCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.