fact: Definition dispBinProduct (c d : C) (P : BinProduct C c d) (cc : D c) (dd : D d) : UU := ∑ pppp1pp2 : (∑ pp : D (BinProductObject _ P), (pp -->[BinProductPr1 _ P] cc) × (pp -->[BinProductPr2 _ P] dd)), is_dispBinProduct c d P cc dd (pr1 pppp1pp2) (pr1 (pr2 pppp1pp2)) (pr2 (pr2 pppp1pp2)).
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