Theorems · Theorem · general topology
Path.uniformContinuous
∀ {X : Type u_1} [inst : UniformSpace X] {x y : X} (γ : Path x y), UniformContinuous ⇑γ- Defined in
- Mathlib.Topology.UniformSpace.Path
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Set.Elemstatement · cited by 7,166
- UniformSpacestatement and proof · cited by 2,040
- unitIntervalstatement · cited by 607
- UniformContinuousstatement · cited by 410
- Pathstatement and proof · cited by 318
- ContinuousMapClass.map_continuousproof · cited by 119
- CompactSpace.uniformContinuous_of_continuousproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Path.uniformContinuous_extendproof · cited by 0