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(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
[monad (#+ do)]]
[math
["." random (#+ Random)]
[number
["." nat]
["." int]]]]]
[\\library
["." /
[//
[equivalence (#+ Equivalence)]]]])
(def: .public test
Test
(do random.monad
[natL random.nat
natR random.nat
intL random.int
intR random.int]
(<| (_.covering /._)
($_ _.and
(_.cover [/.composite]
(let [[natLR intLR] (\ (/.composite nat.addition int.multiplication) compose
[natL intL] [natR intR])]
(and (nat.= (\ nat.addition compose natL natR)
natLR)
(int.= (\ int.multiplication compose intL intR)
intLR))))
))))
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