proposition: Lemma post_whisker_nat_z_iso {C D E : category} {G1 G2 : functor C D} (α : nat_z_iso G1 G2) (F : functor D E) : nat_z_iso (functor_composite G1 F) (functor_composite G2 F).
proof: Proof. exists (post_whisker α F). exact (post_whisker_z_iso_is_z_iso α F (pr2 α)). Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory