proposition: Proposition change_of_base_precomp {x y : C} (w : C) (f : x --> y) : precomp_arr change_of_base_enrichment w f = #F (precomp_arr E w f).
proof: Proof. unfold precomp_arr ; cbn. rewrite !functor_comp. rewrite !assoc. apply maponpaths_2. rewrite mon_functor_rinvunitor. rewrite !assoc'. apply maponpaths. rewrite <- tensor_mon_functor_tensor. rewrite functor_id. rewrite !assoc. rewrite <- tensor_comp_id_l. apply idpath. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.EnrichedCats.Enrichment UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor UniMath.CategoryTheory.EnrichedCats.EnrichmentTransformation UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Functors