Proposition stable_bincoproducts_from_pb_preserves_bincoproduct (H : ∏ (x y : C) (f : x --> y), preserves_bincoproduct (cod_pb PB f)) : stable_bincoproducts BC. Proof. intros a b x y ab bp f g₁ g₂ π₁ π₂ ρ₁ ρ₂ p q H₁ H₂. exact (stable_from_pb_preserves_bincoproduct H _ _ _ _ _ _ _ _ _ H₁ H₂). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Monics. Require Import UniMath.CategoryTheory.DisplayedCats.Codomain. Require Import UniMath.CategoryTheory.DisplayedCats.Codomain.FiberCod. Require Import UniMath.CategoryTheory.DisplayedCats.Codomain.CodColimits. Require Import UniMath.CategoryTheory.Limits.Initial. Require Import UniMath.CategoryTheory.Limits.BinCoproducts. Require Import UniMath.CategoryTheory.Limits.Pullbacks. Require Import UniMath.CategoryTheory.Limits.Preservation. Section FromStable. End FromStable.