Definition functor_from_eq {A : category} (F F' : functor_from A) (H1 : adjoint_equivalence (B := bicat_of_univ_cats) (target_category F) (target_category F')) (H2 : F ∙ (H1 : bicat_of_univ_cats⟦_, _⟧) = F') : F = F'.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.Bicategories.Core.Bicat. Require Import UniMath.Bicategories.Core.Examples.BicatOfUnivCats. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.RezkCompletions.RezkCompletions. Require Import UniMath.CategoryTheory.WeakEquivalences.Core.