Definition rezk_completion_2_presheaves (B : bicat) : ∑ RB : bicat, ∑ HB : psfunctor B RB, is_univalent_2 RB × weak_biequivalence HB. Proof. use rezk_completion_2. exact (λ C, _ ,, _ ,, Rezk_eta_essentially_surjective C ,, Rezk_eta_fully_faithful C). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.YonedaLemma. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor. Require Import UniMath.Bicategories.PseudoFunctors.Examples.Composition. Require Import UniMath.Bicategories.PseudoFunctors.Properties. Require Import UniMath.Bicategories.RezkCompletions.BicatToLocalUnivalentBicat. Require Import UniMath.CategoryTheory.RezkCompletions.Construction. Require Import UniMath.CategoryTheory.RezkCompletions.RezkCompletions.