Definition internal_sopfib_weq_internal_sfib {B : bicat} {e b : B} (p : e --> b) : @internal_sfib (op2_bicat B) e b p ≃ internal_sopfib p. Proof. use make_weq. - exact internal_sfib_is_internal_sopfib. - use isweq_iso. + exact internal_sopfib_is_internal_sfib. + exact internal_sopfib_weq_internal_sfib_inv_left. + exact internal_sopfib_weq_internal_sfib_inv_right. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Examples.OpCellBicat. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.UnivalenceOp. Require Import UniMath.Bicategories.Morphisms.InternalStreetFibration.