proposition: Lemma Ff_right_tensor_preserves_colimit_mor_inv : colim (FfCC (mapdiagram (monoidal_right_tensor A) d)) --> (monoidal_right_tensor A) (colim (FfCC d)).
proof: Proof. use colimArrow. use monoidal_right_tensor_cocone. Defined.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.Monads.MonadAlgebras UniMath.CategoryTheory.Monads.Comonads UniMath.CategoryTheory.Monads.ComonadCoalgebras UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Graphs.Coequalizers UniMath.CategoryTheory.Chains.Chains UniMath.Combinatorics.StandardFiniteSets UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.DisplayedCats.Examples.Arrow UniMath.CategoryTheory.DisplayedCats.Examples.Three UniMath.ModelCategories.NWFS UniMath.ModelCategories.Helpers UniMath.ModelCategories.Generated.MonoidalHelpers UniMath.ModelCategories.Generated.FFMonoidalStructure UniMath.ModelCategories.Generated.LNWFSHelpers UniMath.ModelCategories.Generated.LNWFSMonoidalStructure UniMath.ModelCategories.Generated.LNWFSCocomplete