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(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
[monad (#+ do)]
[\\specification
["$." equivalence]
["$." hash]
["$." monoid]
["$." codec]]]
[control
["." function]]
[math
["." random]]]]
[\\library
["." /]])
(def: .public test
Test
(<| (_.covering /._)
(do random.monad
[value random.bit]
($_ _.and
(_.for [/.equivalence]
($equivalence.spec /.equivalence random.bit))
(_.for [/.hash]
($hash.spec /.hash random.bit))
(_.for [/.disjunction]
($monoid.spec /.equivalence /.disjunction random.bit))
(_.for [/.conjunction]
($monoid.spec /.equivalence /.conjunction random.bit))
(_.for [/.codec]
($codec.spec /.equivalence /.codec random.bit))
(_.cover [/.no /.yes]
(and (\ /.equivalence = false /.no)
(\ /.equivalence = true /.yes)))
(_.cover [/.off /.on]
(and (\ /.equivalence = false /.off)
(\ /.equivalence = true /.on)))
(_.cover [/.complement]
(and (not (\ /.equivalence = value ((/.complement function.identity) value)))
(\ /.equivalence = value ((/.complement not) value))))
))))
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