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(.using
 [library
  [lux "*"
   ["_" test {"+" Test}]
   [abstract
    [monad {"+" do}]
    [\\specification
     ["$[0]" equivalence]]]
   [math
    ["[0]" random {"+" Random}]]]]
 [\\library
  ["[0]" /
   ["/[1]" // "_"
    ["i" int]
    ["[1][0]" i64]]]])

(def: .public random
  (Random /.I32)
  (# random.functor each /.i32 random.i64))

(def: .public test
  Test
  (<| (_.covering /._)
      (_.for [/.I32])
      (do [! random.monad]
        [.let [limit (|> (-- /.width)
                         //i64.mask
                         .int
                         ++)]
         expected (# ! each (i.% limit) random.int)]
        (all _.and
             (_.for [/.equivalence]
                    ($equivalence.spec /.equivalence ..random))
             
             (_.cover [/.i32 /.i64 /.width]
                      (let [actual (|> expected .i64 /.i32 /.i64)]
                        (# //i64.equivalence = expected actual)))
             ))))