Path.Homotopy.reflSymmTrans

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

For any path p from x₀ to x₁, we have a homotopy from the constant path based at x₁ to p.symm.trans p.

Defined in: Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.