let kCat = ../Category/Cat/semigroupal

let vObject = Type

let v =
      ../Category/Monoidal/Cartesian/extractMonoidal
        kCat
        Type
        vObject
        ../Category/Set/monoidal/cartesian

in  λ(object : Kind) →
    λ(cat : ../Category/Monoidal/Kind kCat vObject object) →
    λ(category : ../Category/Monoidal/Type object v cat) →
    λ(m : object) →
    λ(group : ./Type object cat m) →
        { inverse = group.inverse
        , leftQuotient = ./leftQuotient object cat category m group
        , rightQuotient = ./rightQuotient object cat category m group
        }
      ∧ ../Monoid/terms.dhall object cat m (./extractMonoid object cat m group)