Proposition internal_funext (w x y : V) (f g : w --> x ⊸ y) (p : ∏ (a : V) (h : a --> x), f #⊗ h · internal_eval x y = g #⊗ h · internal_eval x y) : f = g. Proof. refine (internal_eta f @ _ @ !(internal_eta g)). apply maponpaths. exact (p x (identity x)). Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Import MonoidalNotations.