proposition: Lemma precomp_prod_functor_has_right_adjoint : is_left_adjoint precomp_prod_functor.
proof: Proof. apply RightKanExtension_from_limits. apply LimsHSET. Defined.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.exponentials UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.RightKanExtension UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.yoneda UniMath.CategoryTheory.YonedaBinproducts UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.Limits UniMath.CategoryTheory.Categories.HSET.Structures UniMath.CategoryTheory.Categories.HSET.MonoEpiIso UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Presheaf