∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {X Y : Cᵒᵖ} {f : X ⟶ Y}
  [inst_1 : CategoryTheory.Limits.HasPushout f f],
  CategoryTheory.CategoryStruct.comp f (CategoryTheory.Limits.pushout.inl f f) =
    CategoryTheory.CategoryStruct.comp f (CategoryTheory.Limits.pushout.inr f f)