proposition: Lemma compose_functor_with_bifunctor_data {A B A' B' C : category} (F : functor A A') (G : functor B B') (H : bifunctor A' B' C) : bifunctor_data A B C.
proof: Proof. use make_bifunctor_data. - intros a b. exact ((F a) ⊗_{H} (G b)). - intros a b1 b2 g. exact ((F a) ⊗^{H}_{l} (#G g)). - intros b a1 a2 f. exact ((#F f) ⊗^{H}_{r} (G b)). Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.ProductCategory