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• Vl-atomguts

Vl-atomguts-p

Recognizer for vl-atomguts.

Signature

(vl-atomguts-p x) → *

Definitions and Theorems

Function: vl-atomguts-p

(defun vl-atomguts-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'vl-atomguts-p))
    (declare (ignorable __function__))
    (common-lisp::case (tag x)
      ((:vl-constint) (vl-constint-p x))
      ((:vl-weirdint) (vl-weirdint-p x))
      ((:vl-extint) (vl-extint-p x))
      ((:vl-string) (vl-string-p x))
      ((:vl-real) (vl-real-p x))
      ((:vl-id) (vl-id-p x))
      ((:vl-hidpiece) (vl-hidpiece-p x))
      ((:vl-funname) (vl-funname-p x))
      ((:vl-sysfunname) (vl-sysfunname-p x))
      ((:vl-typename) (vl-typename-p x))
      ((:vl-keyguts) (vl-keyguts-p x))
      ((:vl-time) (vl-time-p x))
      ((:vl-basictype) (vl-basictype-p x))
      (otherwise (vl-tagname-p x)))))

Theorem: consp-when-vl-atomguts-p

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

Theorem: vl-atomguts-p-when-vl-constint-p

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

Theorem: vl-atomguts-p-when-vl-weirdint-p

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

Theorem: vl-atomguts-p-when-vl-extint-p

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

Theorem: vl-atomguts-p-when-vl-string-p

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

Theorem: vl-atomguts-p-when-vl-real-p

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

Theorem: vl-atomguts-p-when-vl-id-p

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

Theorem: vl-atomguts-p-when-vl-hidpiece-p

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

Theorem: vl-atomguts-p-when-vl-funname-p

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

Theorem: vl-atomguts-p-when-vl-sysfunname-p

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

Theorem: vl-atomguts-p-when-vl-typename-p

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

Theorem: vl-atomguts-p-when-vl-keyguts-p

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

Theorem: vl-atomguts-p-when-vl-time-p

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

Theorem: vl-atomguts-p-when-vl-basictype-p

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

Theorem: vl-atomguts-p-when-vl-tagname-p

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

Theorem: vl-constint-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-weirdint-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-extint-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-string-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-real-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-id-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-hidpiece-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-funname-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-sysfunname-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-typename-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-keyguts-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-time-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-basictype-p-by-tag-when-vl-atomguts-p

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

Theorem: vl-tagname-p-by-tag-when-vl-atomguts-p

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

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

(defthm vl-atomguts-p-when-invalid-tag
  (implies (and (not (equal (tag x) :vl-constint))
                (not (equal (tag x) :vl-weirdint))
                (not (equal (tag x) :vl-extint))
                (not (equal (tag x) :vl-string))
                (not (equal (tag x) :vl-real))
                (not (equal (tag x) :vl-id))
                (not (equal (tag x) :vl-hidpiece))
                (not (equal (tag x) :vl-funname))
                (not (equal (tag x) :vl-sysfunname))
                (not (equal (tag x) :vl-typename))
                (not (equal (tag x) :vl-keyguts))
                (not (equal (tag x) :vl-time))
                (not (equal (tag x) :vl-basictype))
                (not (equal (tag x) :vl-tagname)))
           (not (vl-atomguts-p x)))
  :rule-classes ((:rewrite :backchain-limit-lst 0)))

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

(defthm tag-when-vl-atomguts-p-forward
  (implies (vl-atomguts-p x)
           (or (equal (tag x) :vl-constint)
               (equal (tag x) :vl-weirdint)
               (equal (tag x) :vl-extint)
               (equal (tag x) :vl-string)
               (equal (tag x) :vl-real)
               (equal (tag x) :vl-id)
               (equal (tag x) :vl-hidpiece)
               (equal (tag x) :vl-funname)
               (equal (tag x) :vl-sysfunname)
               (equal (tag x) :vl-typename)
               (equal (tag x) :vl-keyguts)
               (equal (tag x) :vl-time)
               (equal (tag x) :vl-basictype)
               (equal (tag x) :vl-tagname)))
  :rule-classes ((:forward-chaining)))

Subtopics

Vl-fast-weirdint-p

Faster version of vl-weirdint-p, given that vl-atomguts-p is already known.

Vl-fast-typename-p

Faster version of vl-typename-p, given that vl-atomguts-p is already known.

Vl-fast-sysfunname-p

Faster version of vl-sysfunname-p, given that vl-atomguts-p is already known.

Vl-fast-string-p

Faster version of vl-string-p, given that vl-atomguts-p is already known.

Vl-fast-hidpiece-p

Faster version of vl-hidpiece-p, given that vl-atomguts-p is already known.

Vl-fast-funname-p

Faster version of vl-funname-p, given that vl-atomguts-p is already known.

Vl-fast-constint-p

Faster version of vl-constint-p, given that vl-atomguts-p is already known.

Vl-jp-atomguts

Vl-fast-id-p

Faster version of vl-id-p, given that vl-atomguts-p is already known.