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Vl-interfaceportlist->ifnames

(vl-interfaceportlist->ifnames x) maps vl-interfaceport->ifname across a list.

Signature

(vl-interfaceportlist->ifnames x) → names

Arguments

x — Guard (vl-interfaceportlist-p x).

Returns

names — Type (string-listp names).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-interfaceportlist->ifnames-exec

(defun vl-interfaceportlist->ifnames-exec (x acc)
  (declare (xargs :guard (vl-interfaceportlist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-interfaceportlist->ifnames-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-interfaceportlist->ifnames-exec
             (cdr x)
             (cons (vl-interfaceport->ifname (car x))
                   acc))
      acc)))

Function: vl-interfaceportlist->ifnames-nrev

(defun vl-interfaceportlist->ifnames-nrev (x nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (vl-interfaceportlist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-interfaceportlist->ifnames-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (nrev-fix nrev)
      (let ((nrev (nrev-push (vl-interfaceport->ifname (car x))
                             nrev)))
        (vl-interfaceportlist->ifnames-nrev (cdr x)
                                            nrev)))))

Function: vl-interfaceportlist->ifnames

(defun vl-interfaceportlist->ifnames (x)
  (declare (xargs :guard (vl-interfaceportlist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-interfaceportlist->ifnames))
    (declare (ignorable __function__))
    (mbe :logic
         (if (consp x)
             (cons (vl-interfaceport->ifname (car x))
                   (vl-interfaceportlist->ifnames (cdr x)))
           nil)
         :exec
         (if (atom x)
             nil
           (with-local-nrev
                (vl-interfaceportlist->ifnames-nrev x nrev))))))

Theorem: string-listp-of-vl-interfaceportlist->ifnames

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

Theorem: vl-interfaceportlist->ifnames-of-vl-interfaceportlist-fix-x

(defthm vl-interfaceportlist->ifnames-of-vl-interfaceportlist-fix-x
 (equal (vl-interfaceportlist->ifnames (vl-interfaceportlist-fix x))
        (vl-interfaceportlist->ifnames x)))

Theorem: vl-interfaceportlist->ifnames-vl-interfaceportlist-equiv-congruence-on-x

(defthm
 vl-interfaceportlist->ifnames-vl-interfaceportlist-equiv-congruence-on-x
 (implies (vl-interfaceportlist-equiv x x-equiv)
          (equal (vl-interfaceportlist->ifnames x)
                 (vl-interfaceportlist->ifnames x-equiv)))
 :rule-classes :congruence)

Theorem: vl-interfaceportlist->ifnames-of-update-nth

(defthm vl-interfaceportlist->ifnames-of-update-nth
  (implies
       (<= (nfix acl2::n) (len acl2::x))
       (equal (vl-interfaceportlist->ifnames
                   (update-nth acl2::n acl2::v acl2::x))
              (update-nth acl2::n
                          (vl-interfaceport->ifname acl2::v)
                          (vl-interfaceportlist->ifnames acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-interfaceportlist->ifnames-of-revappend

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

Theorem: nthcdr-of-vl-interfaceportlist->ifnames

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

Theorem: nth-of-vl-interfaceportlist->ifnames

(defthm nth-of-vl-interfaceportlist->ifnames
  (equal (nth acl2::n
              (vl-interfaceportlist->ifnames acl2::x))
         (and (< (nfix acl2::n) (len acl2::x))
              (vl-interfaceport->ifname (nth acl2::n acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-interfaceportlist->ifnames-of-take

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

Theorem: set-equiv-congruence-over-vl-interfaceportlist->ifnames

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

Theorem: subsetp-of-vl-interfaceportlist->ifnames-when-subsetp

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

Theorem: member-of-vl-interfaceport->ifname-in-vl-interfaceportlist->ifnames

(defthm
 member-of-vl-interfaceport->ifname-in-vl-interfaceportlist->ifnames
 (implies (member acl2::k acl2::x)
          (member (vl-interfaceport->ifname acl2::k)
                  (vl-interfaceportlist->ifnames acl2::x)))
 :rule-classes ((:rewrite)))

Theorem: vl-interfaceportlist->ifnames-nrev-removal

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

Theorem: vl-interfaceportlist->ifnames-exec-removal

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

Theorem: vl-interfaceportlist->ifnames-of-rev

(defthm vl-interfaceportlist->ifnames-of-rev
  (equal (vl-interfaceportlist->ifnames (rev acl2::x))
         (rev (vl-interfaceportlist->ifnames acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-interfaceportlist->ifnames-of-list-fix

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

Theorem: vl-interfaceportlist->ifnames-of-append

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

Theorem: cdr-of-vl-interfaceportlist->ifnames

(defthm cdr-of-vl-interfaceportlist->ifnames
  (equal (cdr (vl-interfaceportlist->ifnames acl2::x))
         (vl-interfaceportlist->ifnames (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-interfaceportlist->ifnames

(defthm car-of-vl-interfaceportlist->ifnames
  (equal (car (vl-interfaceportlist->ifnames acl2::x))
         (and (consp acl2::x)
              (vl-interfaceport->ifname (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-interfaceportlist->ifnames-under-iff

(defthm vl-interfaceportlist->ifnames-under-iff
  (iff (vl-interfaceportlist->ifnames acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-interfaceportlist->ifnames

(defthm consp-of-vl-interfaceportlist->ifnames
  (equal (consp (vl-interfaceportlist->ifnames acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-interfaceportlist->ifnames

(defthm len-of-vl-interfaceportlist->ifnames
  (equal (len (vl-interfaceportlist->ifnames acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-interfaceportlist->ifnames

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

Theorem: vl-interfaceportlist->ifnames-when-not-consp

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

Theorem: vl-interfaceportlist->ifnames-of-cons

(defthm vl-interfaceportlist->ifnames-of-cons
  (equal (vl-interfaceportlist->ifnames (cons acl2::a acl2::b))
         (cons (vl-interfaceport->ifname acl2::a)
               (vl-interfaceportlist->ifnames acl2::b)))
  :rule-classes ((:rewrite)))