Definition isPushout {a b c d : C} (f : C ⟦a, b⟧) (g : C ⟦a, c⟧) (i1 : C⟦b, d⟧) (i2 : C⟦c, d⟧) (H : f · i1 = g · i2) : UU := isColimCocone (pushout_diagram f g) d (PushoutCocone f g d i1 i2 H).
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. Require Import UniMath.CategoryTheory.Limits.Pushouts.