Definition SigmaMonoid_characteristic_equation {V : category} {Mon_V : monoidal V} {H : V ⟶ V} (x : V) (η : V ⟦ monoidal_unit Mon_V, x ⟧) (μ : V ⟦ x ⊗_{ Mon_V} x, x ⟧) (τ : V ⟦ H x, x ⟧) (st : V ⟦ x ⊗_{ Mon_V} H x, H (x ⊗_{ Mon_V} x) ⟧) : UU := st · #H μ · τ = x ⊗^{Mon_V}_{l} τ · μ.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions. Require Import UniMath.CategoryTheory.DisplayedCats.Examples.Sigma. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Actegories.MorphismsOfActegories. Require Import UniMath.CategoryTheory.Monoidal.CategoriesOfMonoids. Require Import UniMath.CategoryTheory.FunctorAlgebras. Require Import UniMath.SubstitutionSystems.GeneralizedSubstitutionSystems. Import BifunctorNotations.