bstree.input

-- Input generated from BinarySearchTreeXmpPage
)clear all

lv := [8,3,5,4,6,2,1,5,7]
t := binarySearchTree lv
emptybst := empty()$BSTREE(INT)
t1 := insert!(8,emptybst)
insert!(3,t1)
leaves t
split(3,t)
insertRoot: (INT,BSTREE INT) -> BSTREE INT
insertRoot(x, t) ==
    a := split(x, t)
    node(a.less, x, a.greater)
buildFromRoot ls == reduce(insertRoot,ls,emptybst)
rt := buildFromRoot reverse lv
(t = rt)@Boolean