Definition is_opcartesian_2cell_sopfib_precomp {B : bicat} {e b : B} (p : e --> b) {x : B} {f g h : x --> e} (α : f ==> g) {β : g ==> h} {γ : f ==> h} (Hα : is_opcartesian_2cell_sopfib p α) (Hγ : is_opcartesian_2cell_sopfib p γ) (q : α • β = γ) : is_opcartesian_2cell_sopfib p β. Proof. apply is_cartesian_to_is_opcartesian_sfib. refine (@is_cartesian_2cell_sfib_postcomp (op2_bicat B) _ _ _ _ _ _ _ β α γ _ _ _). - apply is_opcartesian_to_is_cartesian_sfib. exact Hα. - apply is_opcartesian_to_is_cartesian_sfib. exact Hγ. - exact q. 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.