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Hint-pair

Hint-pair-p

Recognizer for hint-pair structures.

Signature
(hint-pair-p x) → *

Definitions and Theorems

Function: hint-pair-p

(defun hint-pair-p (x)
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'hint-pair-p))
    (declare (ignorable acl2::__function__))
    (and (mbe :logic (and (alistp x)
                          (equal (strip-cars x) '(thm hints)))
              :exec (fty::alist-with-carsp x '(thm hints)))
         (b* ((thm (cdr (std::da-nth 0 x)))
              (hints (cdr (std::da-nth 1 x))))
           (and (pseudo-termp thm)
                (true-listp hints))))))

Theorem: consp-when-hint-pair-p

(defthm consp-when-hint-pair-p
  (implies (hint-pair-p x) (consp x))
  :rule-classes :compound-recognizer)