Theorems · Theorem · algebraic topology

ContinuousMap.Homotopy.extend_apply_of_one_le

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f₀ f₁ : C(X, Y)}
  (F : f₀.Homotopy f₁) {t : ℝ}, 1 ≤ t → ∀ (x : X), (F.extend t) x = f₁ x

Defined in

Mathlib.Topology.Homotopy.Basic

Cited by

0 results in Mathlib

Foundations

Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace