fact: Definition isPushout {a b c d : C} (f : a --> b) (g : a --> c) (in1 : b --> d) (in2 : c --> d) (H : f · in1 = g · in2) : UU := ∏ e (h : b --> e) (k : c --> e) (H : f · h = g · k), ∃! hk : d --> e, (in1 · hk = h) × (in2 · hk = k).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Core.Functors