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Atc-premise

Atc-premisep

Recognizer for atc-premise structures.

Signature
(atc-premisep x) → *

Definitions and Theorems

Function: atc-premisep

(defun atc-premisep (x)
  (declare (xargs :guard t))
  (let ((__function__ 'atc-premisep))
    (declare (ignorable __function__))
    (and (consp x)
         (cond ((or (atom x) (eq (car x) :compustate))
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 2)
                     (b* ((var (std::da-nth 0 (cdr x)))
                          (term (std::da-nth 1 (cdr x))))
                       (and (symbolp var)
                            (acl2::any-p term)))))
               ((eq (car x) :cvalue)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 2)
                     (b* ((var (std::da-nth 0 (cdr x)))
                          (term (std::da-nth 1 (cdr x))))
                       (and (symbolp var)
                            (acl2::any-p term)))))
               ((eq (car x) :cvalues)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 2)
                     (b* ((vars (std::da-nth 0 (cdr x)))
                          (term (std::da-nth 1 (cdr x))))
                       (and (symbol-listp vars)
                            (acl2::any-p term)))))
               (t (and (eq (car x) :test)
                       (and (true-listp (cdr x))
                            (eql (len (cdr x)) 1))
                       (b* ((term (std::da-nth 0 (cdr x))))
                         (acl2::any-p term))))))))

Theorem: consp-when-atc-premisep

(defthm consp-when-atc-premisep
  (implies (atc-premisep x) (consp x))
  :rule-classes :compound-recognizer)