Lemma PullbackArrow_PullbackPr1 {a b c : C} {f : C⟦b, a⟧} {g : C⟦c, a⟧} (Pb : Pullback f g) e (h : C⟦e, b⟧) (k : C⟦e, c⟧)(H : h · f = k · g) : PullbackArrow Pb e h k H · PullbackPr1 Pb = h. Proof. exact (limArrowCommutes Pb e _ One). Qed.
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.