Definition isaprop_2cells_of_functors_into_cat {C₁ C₂ : bicat_of_strict_cats} {F₁ F₂ : C₁ --> C₂} (α : F₁ ==> F₂) {G₁ : disp_prebicat_data_of_functors_into_cat C₁} {G₂ : disp_prebicat_data_of_functors_into_cat C₂} (β₁ : G₁ -->[ F₁ ] G₂) (β₂ : G₁ -->[ F₂ ] G₂) : isaprop (β₁ ==>[ α ] β₂).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Categories.CategoryOfSetCategories. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Examples.StrictCats. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations.