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Svar-split

Svar-split-p

Recognizer for svar-split structures.

Signature
(svar-split-p x) → *

Definitions and Theorems

Function: svar-split-p

(defun svar-split-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'svar-split-p))
    (declare (ignorable __function__))
    (and (consp x)
         (cond ((eq (car x) :segment)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 3)
                     (b* ((width (std::da-nth 0 (cdr x)))
                          (var (std::da-nth 1 (cdr x)))
                          (rest (std::da-nth 2 (cdr x))))
                       (and (posp width)
                            (svar-p var)
                            (svar-split-p rest)))))
               (t (and (eq (car x) :remainder)
                       (and (true-listp (cdr x))
                            (eql (len (cdr x)) 1))
                       (b* ((var (std::da-nth 0 (cdr x))))
                         (svar-p var))))))))

Theorem: consp-when-svar-split-p

(defthm consp-when-svar-split-p
  (implies (svar-split-p x) (consp x))
  :rule-classes :compound-recognizer)