Lemma equiv_isInitial1 (c : C) : Limits.Initial.isInitial C c -> isInitial c. Proof. intros X. use make_isInitial. intros b. apply (X b). Qed.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.Limits.Graphs.EqDiag. Require Import UniMath.CategoryTheory.Limits.Initial. Lemma ArrowsFromInitial (I : Initial) (a : C) (f g : C⟦InitialObject I,a⟧) : f = g.