{X : Type u} →
  {Y : Type v} →
    [inst : TopologicalSpace X] →
      [inst_1 : TopologicalSpace Y] →
        {x₀ x₁ : X} → Path.Homotopic.Quotient x₀ x₁ → (f : C(X, Y)) → Path.Homotopic.Quotient (f x₀) (f x₁)