proposition: Proposition linear_category_counit_coalgebra_mor (x : 𝕃) : linear_category_counit 𝕃 x · mon_functor_unit (linear_category_bang_functor 𝕃) = δ (linear_category_bang 𝕃) x · #(linear_category_bang 𝕃) (linear_category_counit 𝕃 x).
proof: Proof. exact (pr12 (pr222 𝕃) x). Qed.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Monads.Comonads UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Functors UniMath.CategoryTheory.Monoidal.FunctorCategories UniMath.CategoryTheory.Monoidal.Structure.Symmetric UniMath.CategoryTheory.Monoidal.Structure.SymmetricDiagonal UniMath.CategoryTheory.Monoidal.Structure.Closed UniMath.CategoryTheory.Monoidal.Comonoids.Category UniMath.CategoryTheory.Monoidal.Examples.ConstantFunctor UniMath.CategoryTheory.Monoidal.CategoriesOfMonoids UniMath.CategoryTheory.Categories.Dialgebras UniMath.CategoryTheory.Monoidal.Examples.DiagonalFunctor