Definition inserters_in_slice_bicat {B : bicat} (ins_B : has_inserters B) (eq_B : has_equifiers B) (b : B) : has_inserters (slice_bicat b). Proof. intros h₁ h₂ α β. simple refine (_ ,, _ ,, _ ,, _). - exact (inserter_slice ins_B eq_B α β). - exact (inserter_slice_pr1 ins_B eq_B α β). - exact (inserter_slice_cell ins_B eq_B α β). - exact (inserter_ump_slice ins_B eq_B α β). 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.Limits.Final. Require Import UniMath.Bicategories.Limits.Products. Require Import UniMath.Bicategories.Limits.Pullbacks. Require Import UniMath.Bicategories.Limits.Inserters. Require Import UniMath.Bicategories.Limits.Equifiers.