fact: 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)).
imports: UniMath.Tactics.EnsureStructuredProofs UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.PrecategoryBinProduct