∀ {A : Type u_1} {A' : Type u_2} {B' : Type u_4} [inst : CategoryTheory.Category.{v_1, u_1} A]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} A'] [inst_2 : CategoryTheory.Category.{v_4, u_4} B'] {eA : A ≌ A'}
  {e' : A' ≌ B'} {F : CategoryTheory.Functor A B'} (hF : eA.functor.comp e'.functor ≅ F),
  AlgebraicTopology.DoldKan.Compatibility.equivalence₁ hF =
    (AlgebraicTopology.DoldKan.Compatibility.equivalence₀ eA e').changeFunctor hF