Mathlib Map

Theorems · Definition · general topology

UniformEquiv.prodPUnit

(α : Type u) → [inst : UniformSpace α] → α × PUnit.{u_4 + 1} ≃ᵤ α

α × {*} is uniformly isomorphic to α.

Defined in
Mathlib.Topology.UniformSpace.Equiv
Cited by
1 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

UniformEquiv.punitProd · cited by 1UniformEquiv.punitProdUniformEquiv.prodPUnit_apply · cited by 0UniformEquiv.prodPUnit_ap…UniformEquiv.prodPunit · cited by 0UniformEquiv.prodPunitEquiv · cited by 8337EquivUniformSpace · cited by 2040UniformSpaceUniformEquiv · cited by 80UniformEquivuniformContinuous_fst · cited by 8uniformContinuous_fstEquiv.prodPUnit · cited by 2Equiv.prodPUnitUniformEquiv.prodPUnitCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.