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(.require
[library
[lux (.except)
[abstract
[monad (.only do)]]
[data
["[0]" bit (.use "[1]#[0]" equivalence)]]
[math
["[0]" random (.only Random)]]
[test
["_" property (.only Test)]]]]
[\\library
["[0]" /]]
[//
["[0]S" equivalence]])
(def .public (spec (open "/#[0]") random)
(All (_ of)
(-> (/.Order of) (Random of)
Test))
(<| (_.for [/.Order])
(all _.and
(_.for [/.equivalence]
(equivalenceS.spec /#equivalence random))
(do random.monad
[parameter random
subject random
.let [equal_or_ordered!
(let [equal!
(/#= parameter subject)
ordered!
(or (and (/#< parameter subject)
(not (/#< subject parameter)))
(and (/#< subject parameter)
(not (/#< parameter subject))))]
(bit#= equal! (not ordered!)))]
subject (random.only (|>> (/#= parameter) not)
random)
extra (random.only (function (_ value)
(not (or (/#= parameter value)
(/#= subject value))))
random)
.let [transitive_property!
(if (/#< parameter subject)
(let [greater? (and (/#< subject extra)
(/#< parameter extra))
lesser? (and (/#< extra parameter)
(/#< extra subject))
in_between? (and (/#< parameter extra)
(/#< extra subject))]
(or greater?
lesser?
in_between?))
... (/#< subject parameter)
(let [greater? (and (/#< extra subject)
(/#< extra parameter))
lesser? (and (/#< parameter extra)
(/#< subject extra))
in_between? (and (/#< subject extra)
(/#< extra parameter))]
(or greater?
lesser?
in_between?)))]]
(_.coverage [/.<]
(and equal_or_ordered!
transitive_property!)))
)))
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