Theorems · Theorem · general topology
UniformEquiv.uniformContinuous
∀ {α : Type u} {β : Type u_1} [inst : UniformSpace α] [inst_1 : UniformSpace β] (h : α ≃ᵤ β), UniformContinuous ⇑h- Defined in
- Mathlib.Topology.UniformSpace.Equiv
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- UniformSpaceUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- UniformSpacestatement and proof · cited by 2,040
- UniformContinuousstatement · cited by 410
- UniformEquivstatement and proof · cited by 80
- UniformEquiv.uniformContinuous_toFunproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- UniformEquiv.isUniformInducingproof · cited by 3
- UniformEquiv.continuousproof · cited by 2
- AbstractCompletion.mapEquiv_coeproof · cited by 1
- Unitization.uniformContinuous_fstproof · cited by 1
- Unitization.uniformContinuous_sndproof · cited by 1
- UniformEquiv.changeInvproof · cited by 0