fact: Definition disp_isCoproduct {d : I → C} (dd : ∏ (i : I), D (d i)) (p : Coproduct I C d) (pp : D p) (ππ : ∏ (i : I), dd i -->[ CoproductIn _ _ p i ] pp) : UU := ∏ (w : C) (ww : D w) (f : ∏ (i : I), d i --> w) (ff : ∏ (i : I), dd i -->[ f i ] ww), ∃! (hh : pp -->[ CoproductArrow _ _ p f ] ww), ∏ (i : I), transportf (λ z, _ -->[ z ] _) (CoproductInCommutes _ _ _ p _ f i) (ππ i ;; hh) = ff i.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.Limits.Products UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total