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(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
[equivalence (#+ Equivalence)]
[monad (#+ do)]]
[control
["." function]]
[math
["." random]
[number
["n" nat]]]]]
[\\library
["." / (#+ Functor)]])
(def: (identity equivalence value (^open "@//."))
(All [f a] (-> (Equivalence (f a)) (f a) (Functor f) Test))
(_.test "Law of identity."
(equivalence
(@//each function.identity value)
value)))
(def: .public (spec equivalence value functor)
(All [f a] (-> (Equivalence (f a)) (f a) (Functor f) Test))
(do random.monad
[sample random.nat]
(<| (_.for [/.Functor])
($_ _.and
(..identity equivalence value functor)
))))
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