∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] (r : HomRel C) (A : Type u_3) [inst_1 : AddMonoid A]
  [inst_2 : CategoryTheory.HasShift C A] [r.IsCompatibleWithShift A] (a : A) (x x_1 : C) (x_2 x_3 : x ⟶ x_1),
  r x_2 x_3 →
    (CategoryTheory.Quotient.functor r).map ((CategoryTheory.shiftFunctor C a).map x_2) =
      (CategoryTheory.Quotient.functor r).map ((CategoryTheory.shiftFunctor C a).map x_3)