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(.using
 [library
  [lux (.full)
   ["_" test (.only Test)]
   [abstract
    [\\specification
     ["$[0]" equivalence]
     ["$[0]" hash]]]
   [data
    [collection
     ["[0]" set]]]
   [math
    ["[0]" random (.only Random)]]]]
 [\\library
  ["[0]" /]])

(def: .public random
  (Random /.ID)
  (all random.and
       random.nat
       random.nat
       ))

(def: .public test
  Test
  (<| (_.covering /._)
      (_.for [/.ID])
      (all _.and
           (_.for [/.equivalence]
                  ($equivalence.spec /.equivalence ..random))
           (_.for [/.hash]
                  ($hash.spec /.hash ..random))
           
           (_.coverage [/.none]
             (set.empty? /.none))
           )))