fact: Definition subbicat_disp_binprod (HB : has_binprod B) (Hcone : ∏ (x y : subbicat P₀ P₁ Pid Pcomp), P₀ (pr1 (HB (pr1 x) (pr1 y)))) (Hπ₁ : ∏ (x y : subbicat P₀ P₁ Pid Pcomp), P₁ _ _ (Hcone x y) (pr12 x) (binprod_cone_pr1 (pr1 (HB (pr1 x) (pr1 y))))) (Hπ₂ : ∏ (x y : subbicat P₀ P₁ Pid Pcomp), P₁ _ _ (Hcone x y) (pr12 y) (binprod_cone_pr2 (pr1 (HB (pr1 x) (pr1 y))))) (Hpair : ∏ (x y : subbicat P₀ P₁ Pid Pcomp) (q : binprod_cone x y), P₁ _ _ (pr121 q) (Hcone x y) (binprod_ump_1cell (pr2 (HB (pr1 x) (pr1 y))) (pr1 (binprod_cone_pr1 q)) (pr1 (binprod_cone_pr2 q)))) : disp_has_binprod (disp_subbicat P₀ P₁ Pid Pcomp) HB.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.DisplayedCats.Core UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Univalence UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.DisplayedBicats.Examples.Sub1Cell UniMath.Bicategories.DisplayedBicats.Examples.MonadsLax UniMath.Bicategories.Limits.Final UniMath.Bicategories.Limits.Products UniMath.Bicategories.Limits.Pullbacks UniMath.Bicategories.Limits.EilenbergMooreObjects UniMath.Bicategories.Limits.Examples.TotalBicategoryLimits UniMath.Bicategories.Monads.Examples.MonadsInTotalBicat UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.PseudoFunctors.Examples.MonadInclusion