Definition make_is_invertible_2cell {C : prebicat_data} {a b : C} {f g : a --> b} {η : f ==> g} {φ : g ==> f} (ηφ : η • φ = id2 f) (φη : φ • η = id2 g) : is_invertible_2cell η := φ,, make_dirprod ηφ φη.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.PrecategoryBinProduct.