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(.module:
[lux #*
["%" data/text/format (#+ format)]
["_" test (#+ Test)]
["r" math/random]
[abstract
[monad (#+ do)]
{[0 #test]
[/
["$." equivalence]
["$." monoid]
["$." codec]]}]
[control
["." function]]]
{1
["." /]})
(def: #export test
Test
(<| (_.context (%.name (name-of .Bit)))
(do r.monad
[value r.bit]
($_ _.and
($equivalence.spec /.equivalence r.bit)
($codec.spec /.equivalence /.codec r.bit)
(<| (_.context "Disjunction.")
($monoid.spec /.equivalence /.disjunction r.bit))
(<| (_.context "Conjunction.")
($monoid.spec /.equivalence /.conjunction r.bit))
(_.test "A value cannot be true and false at the same time."
(not (and value (not value))))
(_.test "A value must be either true or false at any time."
(or value (not value)))
(_.test "Can create the complement of a predicate."
(and (not (:: /.equivalence = value ((/.complement function.identity) value)))
(:: /.equivalence = value ((/.complement not) value))))
))))
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