Proposition pairing_tensor_r {a x y y2 : C} (f : a --> x) (g : a --> y) (g2 : y --> y2) : ⟨f,g⟩ · (identity _ #⊗ g2) = ⟨f , g · g2⟩. Proof. rewrite pairing_tensor. rewrite id_right. reflexivity. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Cartesian. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Require Import UniMath.CategoryTheory.Monoidal.Structure.SymmetricDiagonal. Import MonoidalNotations.