Proposition is_left_adjoint_slice_dom_comm : g = dom_mor is_left_adjoint_slice_dom_mor · BinProductPr2 C (BP x z). Proof. cbn. rewrite BinProductPr2Commutes. apply idpath. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Codomain. Require Import UniMath.CategoryTheory.DisplayedCats.Codomain.FiberCod. Require Import UniMath.CategoryTheory.Limits.BinProducts.