Definition make_Pushout {a b c : C} (f : C⟦a, b⟧) (g : C⟦a, c⟧) (d : C) (in1 : C⟦b,d⟧) (in2 : C ⟦c,d⟧) (H : f · in1 = g · in2) (ispb : isPushout f g in1 in2 H) : Pushout f g. Proof. use tpair. - use tpair. + apply d. + exists in1. exact in2. - exists H. apply ispb. Defined.
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.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.TransportMorphisms. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Limits.Initial. Require Import UniMath.CategoryTheory.Limits.BinCoproducts. Require Import UniMath.CategoryTheory.Limits.Coequalizers. Require Import UniMath.CategoryTheory.Epis. Require Import UniMath.CategoryTheory.Core.Functors.