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Svex-select

Svex-select-p

Recognizer for svex-select structures.

Signature
(svex-select-p x) → *

Definitions and Theorems

Function: svex-select-p

(defun svex-select-p (x)
 (declare (xargs :guard t))
 (let ((__function__ 'svex-select-p))
  (declare (ignorable __function__))
  (and
   (consp x)
   (cond
      ((or (atom x) (eq (car x) :var))
       (and (std::prod-consp (cdr x))
            (b* ((name (std::prod-car (cdr x)))
                 (width (std::prod-cdr (cdr x))))
              (and (svar-p name) (natp width)))))
      (t (and (eq (car x) :part)
              (and (std::prod-consp (cdr x))
                   (std::prod-consp (std::prod-cdr (cdr x))))
              (b* ((lsb (std::prod-car (cdr x)))
                   (width (std::prod-car (std::prod-cdr (cdr x))))
                   (subexp (std::prod-cdr (std::prod-cdr (cdr x)))))
                (and (svex-p lsb)
                     (natp width)
                     (svex-select-p subexp)))))))))

Theorem: consp-when-svex-select-p

(defthm consp-when-svex-select-p
  (implies (svex-select-p x) (consp x))
  :rule-classes :compound-recognizer)