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22 lines
628 B
Plaintext
22 lines
628 B
Plaintext
String.cmp
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: ∀(a: String)
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∀(b: String)
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Cmp
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= λa λb
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let P = λx ∀(b: String) (Cmp)
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let cons = λa.head λa.tail λb
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let P = λx ∀(a.head: Char) ∀(a.tail: String) (Cmp)
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let cons = λb.head λb.tail λa.head λa.tail
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let P = λx Cmp
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let ltn = Cmp.ltn
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let eql = (String.cmp a.tail b.tail)
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let gtn = Cmp.gtn
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(~(U60.cmp a.head b.head) P ltn eql gtn)
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let nil = λa.head λa.tail Cmp.gtn
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((~b P cons nil) a.head a.tail)
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let nil = λb
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let P = λx Cmp
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let cons = λb.head λb.tail Cmp.ltn
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let nil = Cmp.eql
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(~b P cons nil)
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(~a P cons nil b) |