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Theorems · Definition · algebraic topology

Path.Homotopy.eval

{X : Type u} →
  [inst : TopologicalSpace X] → {x₀ x₁ : X} → {p₀ p₁ : Path x₀ x₁} → p₀.Homotopy p₁ → ↑unitInterval → Path x₀ x₁

Evaluating a path homotopy at an intermediate point, giving us a Path.

Defined in
Mathlib.Topology.Homotopy.Path
Cited by
5 results in Mathlib
Foundations
Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

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