∀ {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 f = Path.Homotopic.Quotient.mk (P₀.map ⋯)