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{-# OPTIONS --without-K --safe #-}
open import Categories.Category using (Category)
open import Categories.Category.Monoidal using (Monoidal)
open import Categories.Category.Monoidal.Symmetric using (Symmetric)
open import Level using (Level)
module Functor.Forgetful.Instance.CMonoid
{o ℓ e : Level}
{S : Category o ℓ e}
{monoidal : Monoidal S}
(symmetric : Symmetric monoidal)
where
open import Categories.Category.Construction.Monoids monoidal using (Monoids)
open import Categories.Functor using (Functor)
open import Category.Construction.CMonoids symmetric using (CMonoids)
open import Function using (id)
open import Object.Monoid.Commutative using (CommutativeMonoid; CommutativeMonoid⇒)
private
module S = Category S
open CommutativeMonoid
open CommutativeMonoid⇒
open Functor
open S.Equiv using (refl)
Forget : Functor CMonoids Monoids
Forget .F₀ = monoid
Forget .F₁ = monoid⇒
Forget .identity = refl
Forget .homomorphism = refl
Forget .F-resp-≈ = id
module Forget = Functor Forget
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