Theorems · Theorem · algebraic topology
Path.Homotopy.hcomp_half
∀ {X : Type u} [inst : TopologicalSpace X] {x₀ x₁ x₂ : X} {p₀ q₀ : Path x₀ x₁} {p₁ q₁ : Path x₁ x₂} (F : p₀.Homotopy q₀)
(G : p₁.Homotopy q₁) (t : ↑unitInterval), (F.hcomp G) (t, ⟨1 / 2, ⋯⟩) = x₁- Defined in
- Mathlib.Topology.Homotopy.Path
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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- unitIntervalstatement and proof · cited by 607
- Pathstatement and proof · cited by 318
- Path.transstatement · cited by 54
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