Theorems · Theorem · algebraic topology

ContinuousMap.Homotopy.apply_zero

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f₀ f₁ : C(X, Y)}
  (F : f₀.Homotopy f₁) (x : X), F (0, x) = f₀ x

Defined in

Mathlib.Topology.Homotopy.Basic

Cited by

8 results in Mathlib

Foundations

Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace