Path.Homotopy.reflTrans

{X : Type u_1} → [inst : TopologicalSpace X] → {x₀ x₁ : X} → (p : Path x₀ x₁) → ((Path.refl x₀).trans p).Homotopy p

For any path p from x₀ to x₁, we have a homotopy from (Path.refl x₀).trans p to p.

Defined in: Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic
Cited by: 4 results in Mathlib
Foundations: Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace

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