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• Vl-clocking-block-item

Vl-clocking-block-item-p

Recognizer for vl-clocking-block-item.

Signature

(vl-clocking-block-item-p x) → *

Definitions and Theorems

Function: vl-clocking-block-item-p

(defun vl-clocking-block-item-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'vl-clocking-block-item-p))
    (declare (ignorable __function__))
    (common-lisp::case (tag x)
      ((:vl-defaultskew)
       (vl-defaultskew-item-p x))
      ((:vl-clkassign) (vl-clkassign-p x))
      ((:vl-property) (vl-property-p x))
      (otherwise (vl-sequence-p x)))))

Theorem: consp-when-vl-clocking-block-item-p

(defthm consp-when-vl-clocking-block-item-p
  (implies (vl-clocking-block-item-p x)
           (consp x))
  :rule-classes :compound-recognizer)

Theorem: vl-clocking-block-item-p-when-vl-defaultskew-item-p

(defthm vl-clocking-block-item-p-when-vl-defaultskew-item-p
  (implies (vl-defaultskew-item-p x)
           (vl-clocking-block-item-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-clocking-block-item-p-when-vl-clkassign-p

(defthm vl-clocking-block-item-p-when-vl-clkassign-p
  (implies (vl-clkassign-p x)
           (vl-clocking-block-item-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-clocking-block-item-p-when-vl-property-p

(defthm vl-clocking-block-item-p-when-vl-property-p
  (implies (vl-property-p x)
           (vl-clocking-block-item-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-clocking-block-item-p-when-vl-sequence-p

(defthm vl-clocking-block-item-p-when-vl-sequence-p
  (implies (vl-sequence-p x)
           (vl-clocking-block-item-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-defaultskew-item-p-by-tag-when-vl-clocking-block-item-p

(defthm vl-defaultskew-item-p-by-tag-when-vl-clocking-block-item-p
  (implies (and (or (equal (tag x) :vl-defaultskew))
                (vl-clocking-block-item-p x))
           (vl-defaultskew-item-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-clkassign-p-by-tag-when-vl-clocking-block-item-p

(defthm vl-clkassign-p-by-tag-when-vl-clocking-block-item-p
  (implies (and (or (equal (tag x) :vl-clkassign))
                (vl-clocking-block-item-p x))
           (vl-clkassign-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-property-p-by-tag-when-vl-clocking-block-item-p

(defthm vl-property-p-by-tag-when-vl-clocking-block-item-p
  (implies (and (or (equal (tag x) :vl-property))
                (vl-clocking-block-item-p x))
           (vl-property-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-sequence-p-by-tag-when-vl-clocking-block-item-p

(defthm vl-sequence-p-by-tag-when-vl-clocking-block-item-p
  (implies (and (or (equal (tag x) :vl-sequence))
                (vl-clocking-block-item-p x))
           (vl-sequence-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-clocking-block-item-p-when-invalid-tag

(defthm vl-clocking-block-item-p-when-invalid-tag
  (implies (and (not (equal (tag x) :vl-defaultskew))
                (not (equal (tag x) :vl-clkassign))
                (not (equal (tag x) :vl-property))
                (not (equal (tag x) :vl-sequence)))
           (not (vl-clocking-block-item-p x)))
  :rule-classes ((:rewrite :backchain-limit-lst 0)))

Theorem: tag-when-vl-clocking-block-item-p-forward

(defthm tag-when-vl-clocking-block-item-p-forward
  (implies (vl-clocking-block-item-p x)
           (or (equal (tag x) :vl-defaultskew)
               (equal (tag x) :vl-clkassign)
               (equal (tag x) :vl-property)
               (equal (tag x) :vl-sequence)))
  :rule-classes ((:forward-chaining)))