Theorems · Theorem · algebraic topology

Path.Homotopic.Quotient.mk_map

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {x₀ x₁ : X} (P₀ : Path x₀ x₁)
  (f : C(X, Y)), Path.Homotopic.Quotient.mk (P₀.map ⋯) = (Path.Homotopic.Quotient.mk P₀).map f

Defined in

Mathlib.Topology.Homotopy.Path

Cited by

3 results in Mathlib

Foundations

Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace