Definition is_invertible_2cell_id₂ {C : prebicat} {a b : C} (f : a --> b) : is_invertible_2cell (id2 f) := make_is_invertible_2cell (id2_left (id2 f)) (id2_left (id2 f)).
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.