fact: Definition make_dispBinProduct_locally_prop (c d : C) (P : BinProduct C c d) (cc : D c) (dd : D d) (LP : locally_propositional D) (dBP_data : ∑ pp : D (BinProductObject _ P), (pp -->[BinProductPr1 _ P] cc) × (pp -->[BinProductPr2 _ P] dd)) (mediating : ∏ (a : C) (f : a --> c) (g : a --> d) (aa : D a) (ff : aa -->[f] cc) (gg : aa -->[g] dd), aa -->[ BinProductArrow C P f g] pr1 dBP_data) : dispBinProduct c d P cc dd.
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