Definition locally_grpd_opcartesian {B : bicat} (HB : locally_groupoid B) {e b : B} (p : e --> b) {x : B} {f g : x --> e} (γ : f ==> g) : is_opcartesian_2cell_sopfib p γ. Proof. apply invertible_is_opcartesian_2cell_sopfib. apply HB. 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.