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(.module:
  [library
   [lux #*
    ["_" test (#+ Test)]
    [abstract
     [functor (#+ Functor)]
     [comonad (#+ CoMonad)]
     [\\specification
      ["$." functor (#+ Injection Comparison)]
      ["$." comonad]]]
    [control
     ["//" continuation]]
    [data
     [collection
      ["." list]
      ["." sequence (#+ Sequence) ("#\." comonad)]]]
    [math
     ["." random]]]]
  [\\library
   ["." /]])

(def: (injection value)
  (Injection (/.CoFree Sequence))
  [value (sequence\map injection (sequence.repeated value))])

(def: (interpret [head tail])
  (All [a] (-> (/.CoFree Sequence a) (Sequence a)))
  (|> tail
      (sequence\map (\ (/.comonad sequence.functor) out))
      [head]
      //.pending))

(def: comparison
  (Comparison (/.CoFree Sequence))
  (function (_ == left right)
    (\ (list.equivalence ==) =
       (sequence.take 100 (..interpret left))
       (sequence.take 100 (..interpret right)))))

(def: .public test
  Test
  (<| (_.covering /._)
      (_.for [/.CoFree])
      ($_ _.and
          (_.for [/.functor]
                 ($functor.spec ..injection ..comparison (: (Functor (/.CoFree Sequence))
                                                            (/.functor sequence.functor))))
          (_.for [/.comonad]
                 ($comonad.spec ..injection ..comparison (: (CoMonad (/.CoFree Sequence))
                                                            (/.comonad sequence.functor))))
          )))