Definition equiv_Pullbacks_1: @Limits.Pullbacks.Pullbacks C -> Pullbacks. Proof. intros X' a b c f g. set (X := X' a b c f g). exact (make_Pullback f g (Limits.Pullbacks.PullbackObject X) (Limits.Pullbacks.PullbackPr1 X) (Limits.Pullbacks.PullbackPr2 X) (Limits.Pullbacks.PullbackSqrCommutes X) (equiv_isPullback_1 _ _ _ _ _ (Limits.Pullbacks.isPullback_Pullback X))). Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.Combinatorics.StandardFiniteSets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Limits.Graphs.Limits. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits.