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• Vl-blockitem

Vl-blockitem-p

Recognizer for vl-blockitem.

Signature

(vl-blockitem-p x) → *

Definitions and Theorems

Function: vl-blockitem-p

(defun vl-blockitem-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'vl-blockitem-p))
    (declare (ignorable __function__))
    (common-lisp::case (tag x)
      ((:vl-vardecl) (vl-vardecl-p x))
      ((:vl-paramdecl) (vl-paramdecl-p x))
      (otherwise (vl-import-p x)))))

Theorem: consp-when-vl-blockitem-p

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

Theorem: vl-blockitem-p-when-vl-vardecl-p

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

Theorem: vl-blockitem-p-when-vl-paramdecl-p

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

Theorem: vl-blockitem-p-when-vl-import-p

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

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

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

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

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

Theorem: vl-import-p-by-tag-when-vl-blockitem-p

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

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

(defthm vl-blockitem-p-when-invalid-tag
  (implies (and (not (equal (tag x) :vl-vardecl))
                (not (equal (tag x) :vl-paramdecl))
                (not (equal (tag x) :vl-import)))
           (not (vl-blockitem-p x)))
  :rule-classes ((:rewrite :backchain-limit-lst 0)))

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

(defthm tag-when-vl-blockitem-p-forward
  (implies (vl-blockitem-p x)
           (or (equal (tag x) :vl-vardecl)
               (equal (tag x) :vl-paramdecl)
               (equal (tag x) :vl-import)))
  :rule-classes ((:forward-chaining)))