Definition enriched_nat_trans_identity {A B : enriched_precat} (F : enriched_functor A B) : enriched_nat_trans F F. Proof. use make_enriched_nat_trans. - intro x. apply enriched_cat_identity. - abstract (intros x y; rewrite precompose_identity, postcompose_identity; reflexivity). Defined.
Require Import UniMath.Foundations.PartA. Require Import UniMath.Foundations.Propositions. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Core.Isos. Import MonoidalNotations.