fact: Definition alg_forgetful_functor_right_action_adjoint_monad_unit_preserves_right_tensor {T : pointed} {X : Mon_alg T} (Adj : alg_forgetful_functor_right_action_is_adjoint X) := let m := Monad_from_adjunction Adj in ∏ (Y : C), η m Y = luinv_{V} Y · η m I_{V} ⊗^{V}_{r} Y · (ru_{V} (pr1 X)) ⊗^{V}_{r} Y.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.CategoriesOfMonoids