Definition disp_map_slice_binprod {B : bicat} (D : disp_map_bicat B) (D_comp : arrow_subbicat_closed_composition D) (D_mor : arrow_subbicat_closed_prod_mor D) (pb_B : has_pb B) (b : B) : has_binprod (disp_map_slice_bicat D b). Proof. intros f₁ f₂. refine (_ ,, _). exact (binprod_ump_in_disp_map_slice _ D_comp D_mor _ _ _ _ _ (pr2 (pb_B _ _ _ (pr12 f₁) (pr12 f₂)))). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Require Import UniMath.Bicategories.DisplayedBicats.Examples.DisplayMapBicatSlice. Require Import UniMath.Bicategories.Limits.Final. Require Import UniMath.Bicategories.Limits.Products. Require Import UniMath.Bicategories.Limits.Pullbacks. Require Import UniMath.Bicategories.Limits.Examples.OpCellBicatLimits. Require Import UniMath.Bicategories.Logic.DisplayMapBicat.