Definition mor_of_internal_sopfib_over {B : bicat} {e₁ b₁ : B} (p₁ : e₁ --> b₁) {e₂ b₂ : B} (p₂ : e₂ --> b₂) (fb : b₁ --> b₂) : UU := ∑ (fe : e₁ --> e₂), mor_preserves_opcartesian p₁ p₂ fe × invertible_2cell (p₁ · fb) (fe · p₂).
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.