Definition map_to_pb_prod : xy₁ --> pb. Proof. use PullbackArrow. - use BinProductArrow. + exact (π₁ · f). + exact π₂. - exact π₁. - abstract (exact (BinProductPr1Commutes _ _ _ _ _ _ _)). 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).