fact: Definition bracket_property (T : algebra_ob Id_H) (f : Z --> ptd_from_alg T) (h : `T • (U Z) --> `T) : UU := alg_map _ T •• (U Z) · h = (identity (U Z) ⊕ θ `T) · (identity (U Z) ⊕ #H h) · (BinCoproductArrow (CPEndC _ _ ) (#U f) (tau_from_alg T)).
imports: UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.PointedFunctors UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.PointedFunctorsComposition UniMath.SubstitutionSystems.Signatures UniMath.SubstitutionSystems.Notation