∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  {X Y₁ Y₂ : C} (p₁ : CategoryTheory.ExactPairing X Y₁) (p₂ : CategoryTheory.ExactPairing X Y₂),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.CategoryStruct.id Xᘁ) (CategoryTheory.CategoryStruct.id Xᘁ) =
    CategoryTheory.CategoryStruct.id Y₂