Definition invertible_to_opcartesian_unique (h : a --> b₁ ⊗ b₂) (β : f ==> h) (δp : g · π₁ ==> h · π₁) (q : β ▹ π₁ = (α ▹ π₁) • δp) : isaprop (∑ (δ : g ==> h), δ ▹ π₁ = δp × α • δ = β).
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.Morphisms.InternalStreetFibration. Require Import UniMath.Bicategories.Morphisms.InternalStreetOpFibration. Require Import UniMath.Bicategories.Limits.Products. Import Products.Notations.