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(.module:
[lux #*
["_" test (#+ Test)]
[math
["." random]]
[abstract
[monad (#+ do)]
{[0 #spec]
[/
["$." equivalence]
["$." monoid]
["$." codec]]}]
[control
["." function]]]
{1
["." /]})
(def: #export test
Test
(<| (_.covering /._)
(do random.monad
[value random.bit]
($_ _.and
(_.with-cover [/.equivalence]
($equivalence.spec /.equivalence random.bit))
(_.with-cover [/.disjunction]
($monoid.spec /.equivalence /.disjunction random.bit))
(_.with-cover [/.conjunction]
($monoid.spec /.equivalence /.conjunction random.bit))
(_.with-cover [/.codec]
($codec.spec /.equivalence /.codec random.bit))
(_.cover [/.complement]
(and (not (\ /.equivalence = value ((/.complement function.identity) value)))
(\ /.equivalence = value ((/.complement not) value))))
))))
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