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• Vl-parsed-ansi-head

Vl-parsed-ansi-head-p

Recognizer for vl-parsed-ansi-head.

Signature

(vl-parsed-ansi-head-p x) → *

Definitions and Theorems

Function: vl-parsed-ansi-head-p

(defun vl-parsed-ansi-head-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'vl-parsed-ansi-head-p))
    (declare (ignorable __function__))
    (common-lisp::case (tag x)
      ((:vl-parsed-interface-head)
       (vl-parsed-interface-head-p x))
      (otherwise (vl-parsed-portdecl-head-p x)))))

Theorem: consp-when-vl-parsed-ansi-head-p

(defthm consp-when-vl-parsed-ansi-head-p
  (implies (vl-parsed-ansi-head-p x)
           (consp x))
  :rule-classes :compound-recognizer)

Theorem: vl-parsed-ansi-head-p-when-vl-parsed-interface-head-p

(defthm vl-parsed-ansi-head-p-when-vl-parsed-interface-head-p
  (implies (vl-parsed-interface-head-p x)
           (vl-parsed-ansi-head-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-parsed-ansi-head-p-when-vl-parsed-portdecl-head-p

(defthm vl-parsed-ansi-head-p-when-vl-parsed-portdecl-head-p
  (implies (vl-parsed-portdecl-head-p x)
           (vl-parsed-ansi-head-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-parsed-interface-head-p-by-tag-when-vl-parsed-ansi-head-p

(defthm vl-parsed-interface-head-p-by-tag-when-vl-parsed-ansi-head-p
  (implies (and (or (equal (tag x)
                           :vl-parsed-interface-head))
                (vl-parsed-ansi-head-p x))
           (vl-parsed-interface-head-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-parsed-portdecl-head-p-by-tag-when-vl-parsed-ansi-head-p

(defthm vl-parsed-portdecl-head-p-by-tag-when-vl-parsed-ansi-head-p
  (implies (and (or (equal (tag x)
                           :vl-parsed-portdecl-head))
                (vl-parsed-ansi-head-p x))
           (vl-parsed-portdecl-head-p x))
  :rule-classes ((:rewrite :backchain-limit-lst 1)))

Theorem: vl-parsed-ansi-head-p-when-invalid-tag

(defthm vl-parsed-ansi-head-p-when-invalid-tag
  (implies (and (not (equal (tag x)
                            :vl-parsed-interface-head))
                (not (equal (tag x)
                            :vl-parsed-portdecl-head)))
           (not (vl-parsed-ansi-head-p x)))
  :rule-classes ((:rewrite :backchain-limit-lst 0)))

Theorem: tag-when-vl-parsed-ansi-head-p-forward

(defthm tag-when-vl-parsed-ansi-head-p-forward
  (implies (vl-parsed-ansi-head-p x)
           (or (equal (tag x)
                      :vl-parsed-interface-head)
               (equal (tag x)
                      :vl-parsed-portdecl-head)))
  :rule-classes ((:forward-chaining)))