Definition invertible_to_cartesian_unique (h : a --> b₁ ⊗ b₂) (β : h ==> g) (δp : h · π₁ ==> f · π₁) (q : β ▹ π₁ = δp • (α ▹ π₁)) : isaprop (∑ (δ : h ==> f), δ ▹ π₁ = δp × δ • α = 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.