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• Vl-moditem

Vl-moditem-p

Recognizer for vl-moditem.

Signature

(vl-moditem-p x) → *

Definitions and Theorems

Function: vl-moditem-p

(defun vl-moditem-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'vl-moditem-p))
    (declare (ignorable __function__))
    (common-lisp::case (tag x)
      ((:vl-vardecl) (vl-vardecl-p x))
      ((:vl-paramdecl) (vl-paramdecl-p x))
      ((:vl-fundecl) (vl-fundecl-p x))
      ((:vl-taskdecl) (vl-taskdecl-p x))
      ((:vl-modinst) (vl-modinst-p x))
      (otherwise (vl-gateinst-p x)))))

Theorem: consp-when-vl-moditem-p

(defthm consp-when-vl-moditem-p
  (implies (vl-moditem-p x) (consp x))
  :rule-classes :compound-recognizer)

Theorem: vl-moditem-p-when-vl-vardecl-p

(defthm vl-moditem-p-when-vl-vardecl-p
  (implies (vl-vardecl-p x)
           (vl-moditem-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-moditem-p-when-vl-paramdecl-p

(defthm vl-moditem-p-when-vl-paramdecl-p
  (implies (vl-paramdecl-p x)
           (vl-moditem-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-moditem-p-when-vl-fundecl-p

(defthm vl-moditem-p-when-vl-fundecl-p
  (implies (vl-fundecl-p x)
           (vl-moditem-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-moditem-p-when-vl-taskdecl-p

(defthm vl-moditem-p-when-vl-taskdecl-p
  (implies (vl-taskdecl-p x)
           (vl-moditem-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-moditem-p-when-vl-modinst-p

(defthm vl-moditem-p-when-vl-modinst-p
  (implies (vl-modinst-p x)
           (vl-moditem-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-moditem-p-when-vl-gateinst-p

(defthm vl-moditem-p-when-vl-gateinst-p
  (implies (vl-gateinst-p x)
           (vl-moditem-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-vardecl-p-by-tag-when-vl-moditem-p

(defthm vl-vardecl-p-by-tag-when-vl-moditem-p
  (implies (and (or (equal (tag x) :vl-vardecl))
                (vl-moditem-p x))
           (vl-vardecl-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-paramdecl-p-by-tag-when-vl-moditem-p

(defthm vl-paramdecl-p-by-tag-when-vl-moditem-p
  (implies (and (or (equal (tag x) :vl-paramdecl))
                (vl-moditem-p x))
           (vl-paramdecl-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-fundecl-p-by-tag-when-vl-moditem-p

(defthm vl-fundecl-p-by-tag-when-vl-moditem-p
  (implies (and (or (equal (tag x) :vl-fundecl))
                (vl-moditem-p x))
           (vl-fundecl-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-taskdecl-p-by-tag-when-vl-moditem-p

(defthm vl-taskdecl-p-by-tag-when-vl-moditem-p
  (implies (and (or (equal (tag x) :vl-taskdecl))
                (vl-moditem-p x))
           (vl-taskdecl-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-modinst-p-by-tag-when-vl-moditem-p

(defthm vl-modinst-p-by-tag-when-vl-moditem-p
  (implies (and (or (equal (tag x) :vl-modinst))
                (vl-moditem-p x))
           (vl-modinst-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-gateinst-p-by-tag-when-vl-moditem-p

(defthm vl-gateinst-p-by-tag-when-vl-moditem-p
  (implies (and (or (equal (tag x) :vl-gateinst))
                (vl-moditem-p x))
           (vl-gateinst-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-moditem-p-when-invalid-tag

(defthm vl-moditem-p-when-invalid-tag
  (implies (and (not (equal (tag x) :vl-vardecl))
                (not (equal (tag x) :vl-paramdecl))
                (not (equal (tag x) :vl-fundecl))
                (not (equal (tag x) :vl-taskdecl))
                (not (equal (tag x) :vl-modinst))
                (not (equal (tag x) :vl-gateinst)))
           (not (vl-moditem-p x)))
  :rule-classes ((:rewrite :backchain-limit-lst 0)))

Theorem: tag-when-vl-moditem-p-forward

(defthm tag-when-vl-moditem-p-forward
  (implies (vl-moditem-p x)
           (or (equal (tag x) :vl-vardecl)
               (equal (tag x) :vl-paramdecl)
               (equal (tag x) :vl-fundecl)
               (equal (tag x) :vl-taskdecl)
               (equal (tag x) :vl-modinst)
               (equal (tag x) :vl-gateinst)))
  :rule-classes ((:forward-chaining)))