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Vl-atomicportexprlist->internalnames

(vl-atomicportexprlist->internalnames x) maps vl-atomicportexpr->internalname across a list.

Signature

(vl-atomicportexprlist->internalnames x) → names

Arguments

x — Guard (vl-exprlist-p x).

Returns

names — Type (string-listp names).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-atomicportexprlist->internalnames-exec

(defun vl-atomicportexprlist->internalnames-exec (x acc)
  (declare (xargs :guard (vl-exprlist-p x)))
  (declare (xargs :guard (vl-atomicportexprlist-p x)))
  (let ((__function__ 'vl-atomicportexprlist->internalnames-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-atomicportexprlist->internalnames-exec
             (cdr x)
             (cons (vl-atomicportexpr->internalname (car x))
                   acc))
      acc)))

Function: vl-atomicportexprlist->internalnames-nrev

(defun vl-atomicportexprlist->internalnames-nrev (x nrev)
 (declare (xargs :stobjs (nrev)))
 (declare (xargs :guard (vl-exprlist-p x)))
 (declare (xargs :guard (vl-atomicportexprlist-p x)))
 (let ((__function__ 'vl-atomicportexprlist->internalnames-nrev))
  (declare (ignorable __function__))
  (if (atom x)
      (nrev-fix nrev)
    (let ((nrev (nrev-push (vl-atomicportexpr->internalname (car x))
                           nrev)))
      (vl-atomicportexprlist->internalnames-nrev (cdr x)
                                                 nrev)))))

Function: vl-atomicportexprlist->internalnames

(defun vl-atomicportexprlist->internalnames (x)
 (declare (xargs :guard (vl-exprlist-p x)))
 (declare (xargs :guard (vl-atomicportexprlist-p x)))
 (let ((__function__ 'vl-atomicportexprlist->internalnames))
  (declare (ignorable __function__))
  (mbe
      :logic
      (if (consp x)
          (cons (vl-atomicportexpr->internalname (car x))
                (vl-atomicportexprlist->internalnames (cdr x)))
        nil)
      :exec
      (if (atom x)
          nil
        (with-local-nrev
             (vl-atomicportexprlist->internalnames-nrev x nrev))))))

Theorem: string-listp-of-vl-atomicportexprlist->internalnames

(defthm string-listp-of-vl-atomicportexprlist->internalnames
  (b* ((names (vl-atomicportexprlist->internalnames x)))
    (string-listp names))
  :rule-classes :rewrite)

Theorem: vl-atomicportexprlist->internalnames-of-vl-exprlist-fix-x

(defthm vl-atomicportexprlist->internalnames-of-vl-exprlist-fix-x
  (equal (vl-atomicportexprlist->internalnames (vl-exprlist-fix x))
         (vl-atomicportexprlist->internalnames x)))

Theorem: vl-atomicportexprlist->internalnames-vl-exprlist-equiv-congruence-on-x

(defthm
 vl-atomicportexprlist->internalnames-vl-exprlist-equiv-congruence-on-x
 (implies (vl-exprlist-equiv x x-equiv)
          (equal (vl-atomicportexprlist->internalnames x)
                 (vl-atomicportexprlist->internalnames x-equiv)))
 :rule-classes :congruence)

Theorem: vl-atomicportexprlist->internalnames-of-update-nth

(defthm vl-atomicportexprlist->internalnames-of-update-nth
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
       (vl-atomicportexprlist->internalnames
            (update-nth acl2::n acl2::v acl2::x))
       (update-nth acl2::n
                   (vl-atomicportexpr->internalname acl2::v)
                   (vl-atomicportexprlist->internalnames acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: vl-atomicportexprlist->internalnames-of-revappend

(defthm vl-atomicportexprlist->internalnames-of-revappend
 (equal
  (vl-atomicportexprlist->internalnames (revappend acl2::x acl2::y))
  (revappend (vl-atomicportexprlist->internalnames acl2::x)
             (vl-atomicportexprlist->internalnames acl2::y)))
 :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-atomicportexprlist->internalnames

(defthm nthcdr-of-vl-atomicportexprlist->internalnames
 (equal
    (nthcdr acl2::n
            (vl-atomicportexprlist->internalnames acl2::x))
    (vl-atomicportexprlist->internalnames (nthcdr acl2::n acl2::x)))
 :rule-classes ((:rewrite)))

Theorem: nth-of-vl-atomicportexprlist->internalnames

(defthm nth-of-vl-atomicportexprlist->internalnames
 (equal
      (nth acl2::n
           (vl-atomicportexprlist->internalnames acl2::x))
      (and (< (nfix acl2::n) (len acl2::x))
           (vl-atomicportexpr->internalname (nth acl2::n acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: vl-atomicportexprlist->internalnames-nrev-removal

(defthm vl-atomicportexprlist->internalnames-nrev-removal
  (equal (vl-atomicportexprlist->internalnames-nrev acl2::x nrev)
         (append nrev
                 (vl-atomicportexprlist->internalnames acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-atomicportexprlist->internalnames-exec-removal

(defthm vl-atomicportexprlist->internalnames-exec-removal
  (equal
       (vl-atomicportexprlist->internalnames-exec acl2::x acl2::acc)
       (revappend (vl-atomicportexprlist->internalnames acl2::x)
                  acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: vl-atomicportexprlist->internalnames-of-take

(defthm vl-atomicportexprlist->internalnames-of-take
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
       (vl-atomicportexprlist->internalnames (take acl2::n acl2::x))
       (take acl2::n
             (vl-atomicportexprlist->internalnames acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-atomicportexprlist->internalnames

(defthm
     set-equiv-congruence-over-vl-atomicportexprlist->internalnames
  (implies
       (set-equiv acl2::x acl2::y)
       (set-equiv (vl-atomicportexprlist->internalnames acl2::x)
                  (vl-atomicportexprlist->internalnames acl2::y)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-atomicportexprlist->internalnames-when-subsetp

(defthm subsetp-of-vl-atomicportexprlist->internalnames-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-atomicportexprlist->internalnames acl2::x)
                    (vl-atomicportexprlist->internalnames acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-atomicportexpr->internalname-in-vl-atomicportexprlist->internalnames

(defthm
 member-of-vl-atomicportexpr->internalname-in-vl-atomicportexprlist->internalnames
 (implies (member acl2::k acl2::x)
          (member (vl-atomicportexpr->internalname acl2::k)
                  (vl-atomicportexprlist->internalnames acl2::x)))
 :rule-classes ((:rewrite)))

Theorem: vl-atomicportexprlist->internalnames-of-rev

(defthm vl-atomicportexprlist->internalnames-of-rev
  (equal (vl-atomicportexprlist->internalnames (rev acl2::x))
         (rev (vl-atomicportexprlist->internalnames acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-atomicportexprlist->internalnames-of-list-fix

(defthm vl-atomicportexprlist->internalnames-of-list-fix
  (equal (vl-atomicportexprlist->internalnames (list-fix acl2::x))
         (vl-atomicportexprlist->internalnames acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-atomicportexprlist->internalnames-of-append

(defthm vl-atomicportexprlist->internalnames-of-append
 (equal
     (vl-atomicportexprlist->internalnames (append acl2::a acl2::b))
     (append (vl-atomicportexprlist->internalnames acl2::a)
             (vl-atomicportexprlist->internalnames acl2::b)))
 :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-atomicportexprlist->internalnames

(defthm cdr-of-vl-atomicportexprlist->internalnames
  (equal (cdr (vl-atomicportexprlist->internalnames acl2::x))
         (vl-atomicportexprlist->internalnames (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-atomicportexprlist->internalnames

(defthm car-of-vl-atomicportexprlist->internalnames
  (equal (car (vl-atomicportexprlist->internalnames acl2::x))
         (and (consp acl2::x)
              (vl-atomicportexpr->internalname (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-atomicportexprlist->internalnames-under-iff

(defthm vl-atomicportexprlist->internalnames-under-iff
  (iff (vl-atomicportexprlist->internalnames acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-atomicportexprlist->internalnames

(defthm consp-of-vl-atomicportexprlist->internalnames
  (equal (consp (vl-atomicportexprlist->internalnames acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-atomicportexprlist->internalnames

(defthm len-of-vl-atomicportexprlist->internalnames
  (equal (len (vl-atomicportexprlist->internalnames acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-atomicportexprlist->internalnames

(defthm true-listp-of-vl-atomicportexprlist->internalnames
  (true-listp (vl-atomicportexprlist->internalnames acl2::x))
  :rule-classes :type-prescription)

Theorem: vl-atomicportexprlist->internalnames-when-not-consp

(defthm vl-atomicportexprlist->internalnames-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-atomicportexprlist->internalnames acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-atomicportexprlist->internalnames-of-cons

(defthm vl-atomicportexprlist->internalnames-of-cons
  (equal
       (vl-atomicportexprlist->internalnames (cons acl2::a acl2::b))
       (cons (vl-atomicportexpr->internalname acl2::a)
             (vl-atomicportexprlist->internalnames acl2::b)))
  :rule-classes ((:rewrite)))