let kCat = ../Category/Cat/semigroupal

let vObject = Type

in  λ(object : Kind) →
    λ(cat : ../Category/Monoidal/Kind kCat vObject object) →
    λ(m : object) →
    λ(ring : ./Type object cat m) →
        { additive =
            ../Group/Commutative/extractCommutativeMonoid
              object
              cat
              m
              ring.additive
        , multiplicative = ring.multiplicative
        }
      : ../Rig/Type object cat m