Theorems · Theorem · algebraic topology

ContinuousMap.Homotopy.extend_of_mem_I

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f₀ f₁ : C(X, Y)}
  (F : f₀.Homotopy f₁) {t : ℝ} (ht : t ∈ unitInterval), F.extend t = F.curry ⟨t, ht⟩

Defined in

Mathlib.Topology.Homotopy.Basic

Cited by

4 results in Mathlib

Foundations

Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace