let kCat = ../../Category/Cat/semigroupal

let vObject = Type

let object = Type

let cat =
      ../../Category/Monoidal/Cartesian/extractMonoidal
        kCat
        vObject
        object
        ../../Category/Set/monoidal/cartesian

in  λ(m : object) →
    λ(field : ./Type m) →
        { additive =
            ../../Group/PartiallyOrderedCommutative/extractCommutativeGroup
              m
              field.additive
        , multiplicative = field.multiplicative.{ unit, inverse, product }
        }
      : ../Type object cat m