Kind/book/String.equal.kind2
2024-03-01 20:40:31 -03:00

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String.equal
: ∀(a: String) ∀(b: String) Bool
= λa λb
let P = λx ∀(b: String) Bool
let cons = λa.head λa.tail λb
let P = λx ∀(a.head: Char) ∀(a.tail: String) Bool
let cons = λb.head λb.tail λa.head λa.tail
(Bool.and
(U60.equal a.head b.head)
(String.equal a.tail b.tail)
)
let nil = λa.head λa.tail Bool.false
(~b P cons nil a.head a.tail)
let nil = λb
let P = λx Bool
let cons = λb.head λb.tail Bool.false
let nil = Bool.true
(~b P cons nil)
(~a P cons nil b)