Theorems · Theorem · algebraic topology

Path.Homotopic.Quotient.map_comp

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {x₀ x₁ : X} {Z : Type u_1}
  [inst_2 : TopologicalSpace Z] {p : Path.Homotopic.Quotient x₀ x₁} {f : C(X, Y)} {g : C(Y, Z)},
  p.map (g.comp f) = (p.map f).map g

Defined in

Mathlib.Topology.Homotopy.Path

Cited by

1 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace