Theorems · Theorem · general topology
Path.uniformContinuous_trans
∀ {X : Type u_1} [inst : UniformSpace X] {x y z : X}, UniformContinuous (Function.uncurry Path.trans)The function Path.trans that concatenates two paths γ₁ : Path x y and γ₂ : Path y z
is uniformly continuous in (γ₁, γ₂).
- Defined in
- Mathlib.Topology.UniformSpace.Path
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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