Theorems · Theorem · general topology
UniformSpace.Completion.uniformContinuous_map
∀ {α : Type u_1} [inst : UniformSpace α] {β : Type u_2} [inst_1 : UniformSpace β] {f : α → β},
UniformContinuous (UniformSpace.Completion.map f)- Defined in
- Mathlib.Topology.UniformSpace.Completion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 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
- UniformSpace.Completionstatement · cited by 192
- UniformSpace.Completion.mapstatement · cited by 23
- UniformSpace.Completion.cPkgproof · cited by 23
- AbstractCompletion.uniformContinuous_mapproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.