Kind/book/BBT.has.kind2
Victor Taelin ab98950f50 wip
2024-02-22 21:31:53 -03:00

18 lines
535 B
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BBT.has
: ∀(K: *)
∀(V: *)
∀(cmp: ∀(a: K) ∀(b: K) Cmp)
∀(key: K)
∀(map: (BBT K V))
Bool
= λK λV λcmp λkey λmap
let P = λx Bool
let bin = λnext.size λnext.key λnext.val λnext.lft λnext.rgt
let P = λx ∀(cmp: ∀(a: K) ∀(b: K) Cmp) ∀(key: K) Bool
let ltn = λcmp λkey (BBT.has K V cmp key next.lft)
let eql = λcmp λkey Bool.true
let gtn = λcmp λkey (BBT.has K V cmp key next.rgt)
((~(cmp key next.key) P ltn eql gtn) cmp key)
let tip = Bool.false
(~map P bin tip)