Definition invertible_is_opcartesian_2cell_sopfib {B : bicat} {e b : B} (p : e --> b) {x : B} {f g : x --> e} (α : f ==> g) (Hα : is_invertible_2cell α) : is_opcartesian_2cell_sopfib p α. Proof. apply is_cartesian_to_is_opcartesian_sfib. apply invertible_is_cartesian_2cell_sfib. apply to_op2_is_invertible_2cell. exact Hα. 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.