Definition slice_coprod_ump_1_map_inl : invertible_2cell (bincoprod_cocone_inl slice_coprod_cone · slice_coprod_ump_1_map) (bincoprod_cocone_inl q). Proof. use make_invertible_2cell. - use make_2cell_slice. + exact slice_coprod_ump_1_map_inl_cell. + exact slice_coprod_ump_1_map_inl_eq. - use is_invertible_2cell_in_slice_bicat. apply property_from_invertible_2cell. 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.Slice. Require Import UniMath.Bicategories.Colimits.Initial. Require Import UniMath.Bicategories.Colimits.Coproducts.