fact: Definition is_nat_iso_id {C D : precategory} {F G : C ⟶ D} (eq : F = G) (ν : nat_iso F G) : UU := ∏ (c : C), nat_comp_to_endo eq (nat_iso_to_trans ν c) = identity (F c).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Univalence