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• Vl-port/vardecl

Vl-port/vardecl-p

Recognizer for vl-port/vardecl.

Signature

(vl-port/vardecl-p x) → *

Definitions and Theorems

Function: vl-port/vardecl-p

(defun vl-port/vardecl-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'vl-port/vardecl-p))
    (declare (ignorable __function__))
    (common-lisp::case (tag x)
      ((:vl-portdecl) (vl-portdecl-p x))
      (otherwise (vl-vardecl-p x)))))

Theorem: consp-when-vl-port/vardecl-p

(defthm consp-when-vl-port/vardecl-p
  (implies (vl-port/vardecl-p x)
           (consp x))
  :rule-classes :compound-recognizer)

Theorem: vl-port/vardecl-p-when-vl-portdecl-p

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

Theorem: vl-port/vardecl-p-when-vl-vardecl-p

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

Theorem: vl-portdecl-p-by-tag-when-vl-port/vardecl-p

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

Theorem: vl-vardecl-p-by-tag-when-vl-port/vardecl-p

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

Theorem: vl-port/vardecl-p-when-invalid-tag

(defthm vl-port/vardecl-p-when-invalid-tag
  (implies (and (not (equal (tag x) :vl-portdecl))
                (not (equal (tag x) :vl-vardecl)))
           (not (vl-port/vardecl-p x)))
  :rule-classes ((:rewrite :backchain-limit-lst 0)))

Theorem: tag-when-vl-port/vardecl-p-forward

(defthm tag-when-vl-port/vardecl-p-forward
  (implies (vl-port/vardecl-p x)
           (or (equal (tag x) :vl-portdecl)
               (equal (tag x) :vl-vardecl)))
  :rule-classes ((:forward-chaining)))