Definition equalizer_from_pb_prod : Equalizer f g. Proof. use make_Equalizer. - exact e. - exact i. - exact equalizer_from_pb_prod_eq. - intros w h p. use iscontraprop1. + apply equalizer_from_pb_prod_unique. + refine (equalizer_from_pb_prod_map p ,, _). exact (equalizer_from_pb_prod_comm p). Defined.
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.Limits.BinProducts. Require Import UniMath.CategoryTheory.Limits.Equalizers. Require Import UniMath.CategoryTheory.Limits.Pullbacks. Section EqualizersFromPullbackProducts. End EqualizersFromPullbackProducts. - exact (BinProductsFromPullbacks PB T).