∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_2 : CategoryTheory.Limits.HasCokernels C] ⦃X Y : CategoryTheory.Arrow C⦄ (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Arrow.rightFunc.map f) (CategoryTheory.Limits.cokernel.π Y.hom) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.cokernel.π X.hom) ((CategoryTheory.Limits.coker C).map f)