Theorems · Theorem · general topology
SeparationQuotient.uniformContinuous_map
∀ {α : Type u} {β : Type v} [inst : UniformSpace α] [inst_1 : UniformSpace β] (f : α → β),
UniformContinuous (SeparationQuotient.map f)- Defined in
- Mathlib.Topology.UniformSpace.Separation
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement and proof · cited by 2,040
- UniformContinuousstatement · cited by 410
- SeparationQuotientstatement · cited by 128
- SeparationQuotient.mkproof · cited by 94
- SeparationQuotient.mapstatement · cited by 5
- SeparationQuotient.uniformContinuous_lift'proof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.