		Search-engine friendly clone of the ACL2 documentation.

Tree-list-tuple3

Tree-list-tuple3p

Recognizer for tree-list-tuple3 structures.

Signature
(tree-list-tuple3p x) → *

Definitions and Theorems

Function: tree-list-tuple3p

(defun tree-list-tuple3p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'tree-list-tuple3p))
    (declare (ignorable __function__))
    (and (mbe :logic (and (alistp x)
                          (equal (strip-cars x) '(1st 2nd 3rd)))
              :exec (fty::alist-with-carsp x '(1st 2nd 3rd)))
         (b* ((1st (cdr (std::da-nth 0 x)))
              (2nd (cdr (std::da-nth 1 x)))
              (3rd (cdr (std::da-nth 2 x))))
           (and (tree-listp 1st)
                (tree-listp 2nd)
                (tree-listp 3rd))))))

Theorem: consp-when-tree-list-tuple3p

(defthm consp-when-tree-list-tuple3p
  (implies (tree-list-tuple3p x)
           (consp x))
  :rule-classes :compound-recognizer)