Definition map_from_pb_prod : pb --> xy₁. Proof. use BinProductArrow. - exact (PullbackPr2 pb). - exact (PullbackPr1 pb · ρ₂). 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).