Definition make_BinProductCone (a b : C) : ∏ (c : C) (f : C⟦c,a⟧) (g : C⟦c,b⟧), isBinProductCone _ _ _ f g -> BinProductCone a b. Proof. intros. use tpair. - exists c. apply (ProdCone f g). - apply X. 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.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.Limits.Graphs.Limits.