Definition rep_internal_sfib_weq_internal_sfib : rep_internal_sfib ≃ internal_sfib. Proof. use make_weq. - exact rep_internal_sfib_to_internal_sfib. - use isweq_iso. + exact internal_sfib_to_rep_internal_sfib. + exact internal_sfib_to_rep_to_sfib. + exact rep_sfib_to_internal_to_rep. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.StreetFibration. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence.