(define $Something (type {[$var-match (lambda [$tgt] {tgt})]}))

(define $Bool
  (type
    {[$var-match (lambda [$tgt] {tgt})]
     [$inductive-match
      (destructor
        {[true []
          {[<true> {[]}]
           [_ {}]}]
         [false []
          {[<false> {[]}]
           [_ {}]}]})]
     [$equal?
      (lambda [$val $tgt]
        (match [val tgt] [Bool Bool]
          {[[<true> <true>] <true>]
           [[<false> <false>] <true>]
           [[_ _] <false>]}))]}))

(define $or
  (lambda [$b1 $b2]
    (match b1 Bool
      {[<true> <true>]
       [<false> b2]})))

(define $and
  (lambda [$b1 $b2]
    (match b1 Bool
      {[<true> b2]
       [<false> <false>]})))

(define $not
  (lambda [$b]
    (match b Bool
      {[<true> <false>]
       [<false> <true>]})))

(define $Order
  (type
    {[$var-match (lambda [$tgt] {tgt})]
     [$inductive-match
      (destructor
        {[less []
          {[<less> {[]}]
           [_ {}]}]
         [equal []
          {[<equal> {[]}]
           [_ {}]}]
         [greater []
          {[<greater> {[]}]
           [_ {}]}]})]
     [$equal?
      (lambda [$val $tgt]
        (match [val tgt] [Order Order]
          {[[<less> <less>] <true>]
           [[<equal> <equal>] <true>]
           [[<greater> <greater>] <true>]
           [[_ _] <false>]}))]}))