Definition disp_BinCoproduct {x y : C} (xx : D x) (yy : D y) (p : BinCoproduct x y) : UU := ∑ (pp : D p) (ιι₁ : xx -->[ BinCoproductIn1 p ] pp) (ιι₂ : yy -->[ BinCoproductIn2 p ] pp), disp_isBinCoproduct p pp ιι₁ ιι₂.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Limits.BinProducts. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.Limits.Equalizers. Require Import UniMath.CategoryTheory.Limits.Products. Require Import UniMath.CategoryTheory.Limits.Coequalizers. Require Import UniMath.CategoryTheory.Limits.BinCoproducts. Require Import UniMath.CategoryTheory.Limits.Coproducts. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Total.