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• Edgesplit

Vl-edgesplit-make-new-alwayses

(vl-edgesplit-make-new-alwayses x ctrl body atts loc) maps vl-edgesplit-make-new-always across a list.

Signature

(vl-edgesplit-make-new-alwayses x ctrl body atts loc) → *

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-edgesplit-make-new-alwayses-exec

(defun vl-edgesplit-make-new-alwayses-exec
       (x ctrl body atts loc acc)
  (declare (xargs :guard (and (string-listp x)
                              (vl-delayoreventcontrol-p ctrl)
                              (vl-edge-control-p ctrl)
                              (vl-stmt-p body)
                              (vl-edgesplitstmt-p body)
                              (vl-atts-p atts)
                              (vl-location-p loc))))
  (let ((__function__ 'vl-edgesplit-make-new-alwayses-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-edgesplit-make-new-alwayses-exec
             (cdr x)
             ctrl body atts loc
             (cons (vl-edgesplit-make-new-always (car x)
                                                 ctrl body atts loc)
                   acc))
      acc)))

Function: vl-edgesplit-make-new-alwayses-nrev

(defun vl-edgesplit-make-new-alwayses-nrev
       (x ctrl body atts loc nrev)
 (declare (xargs :stobjs (nrev)))
 (declare (xargs :guard (and (string-listp x)
                             (vl-delayoreventcontrol-p ctrl)
                             (vl-edge-control-p ctrl)
                             (vl-stmt-p body)
                             (vl-edgesplitstmt-p body)
                             (vl-atts-p atts)
                             (vl-location-p loc))))
 (let ((__function__ 'vl-edgesplit-make-new-alwayses-nrev))
  (declare (ignorable __function__))
  (if (atom x)
      (nrev-fix nrev)
   (let
    ((nrev
        (nrev-push (vl-edgesplit-make-new-always (car x)
                                                 ctrl body atts loc)
                   nrev)))
    (vl-edgesplit-make-new-alwayses-nrev
         (cdr x)
         ctrl body atts loc nrev)))))

Function: vl-edgesplit-make-new-alwayses

(defun vl-edgesplit-make-new-alwayses (x ctrl body atts loc)
 (declare (xargs :guard (and (string-listp x)
                             (vl-delayoreventcontrol-p ctrl)
                             (vl-edge-control-p ctrl)
                             (vl-stmt-p body)
                             (vl-edgesplitstmt-p body)
                             (vl-atts-p atts)
                             (vl-location-p loc))))
 (let ((__function__ 'vl-edgesplit-make-new-alwayses))
  (declare (ignorable __function__))
  (mbe
      :logic
      (if (consp x)
          (cons (vl-edgesplit-make-new-always (car x)
                                              ctrl body atts loc)
                (vl-edgesplit-make-new-alwayses (cdr x)
                                                ctrl body atts loc))
        nil)
      :exec
      (if (atom x)
          nil
        (with-local-nrev (vl-edgesplit-make-new-alwayses-nrev
                              x ctrl body atts loc nrev))))))

Theorem: vl-edgesplit-make-new-alwayses-of-update-nth

(defthm vl-edgesplit-make-new-alwayses-of-update-nth
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
   (vl-edgesplit-make-new-alwayses
        (update-nth acl2::n acl2::v acl2::x)
        ctrl body atts loc)
   (update-nth
      acl2::n
      (vl-edgesplit-make-new-always acl2::v ctrl body atts loc)
      (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc))))
 :rule-classes ((:rewrite)))

Theorem: vl-edgesplit-make-new-alwayses-of-revappend

(defthm vl-edgesplit-make-new-alwayses-of-revappend
 (equal
  (vl-edgesplit-make-new-alwayses (revappend acl2::x acl2::y)
                                  ctrl body atts loc)
  (revappend
       (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc)
       (vl-edgesplit-make-new-alwayses acl2::y ctrl body atts loc)))
 :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-edgesplit-make-new-alwayses

(defthm nthcdr-of-vl-edgesplit-make-new-alwayses
 (equal
   (nthcdr
        acl2::n
        (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc))
   (vl-edgesplit-make-new-alwayses (nthcdr acl2::n acl2::x)
                                   ctrl body atts loc))
 :rule-classes ((:rewrite)))

Theorem: nth-of-vl-edgesplit-make-new-alwayses

(defthm nth-of-vl-edgesplit-make-new-alwayses
 (equal
   (nth acl2::n
        (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc))
   (and (< (nfix acl2::n) (len acl2::x))
        (vl-edgesplit-make-new-always (nth acl2::n acl2::x)
                                      ctrl body atts loc)))
 :rule-classes ((:rewrite)))

Theorem: vl-edgesplit-make-new-alwayses-nrev-removal

(defthm vl-edgesplit-make-new-alwayses-nrev-removal
 (equal
  (vl-edgesplit-make-new-alwayses-nrev
       acl2::x ctrl body atts loc nrev)
  (append
       nrev
       (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc)))
 :rule-classes ((:rewrite)))

Theorem: vl-edgesplit-make-new-alwayses-exec-removal

(defthm vl-edgesplit-make-new-alwayses-exec-removal
 (equal
    (vl-edgesplit-make-new-alwayses-exec
         acl2::x ctrl body atts loc acl2::acc)
    (revappend
         (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc)
         acl2::acc))
 :rule-classes ((:rewrite)))

Theorem: vl-edgesplit-make-new-alwayses-of-take

(defthm vl-edgesplit-make-new-alwayses-of-take
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
   (vl-edgesplit-make-new-alwayses (take acl2::n acl2::x)
                                   ctrl body atts loc)
   (take
      acl2::n
      (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-edgesplit-make-new-alwayses

(defthm set-equiv-congruence-over-vl-edgesplit-make-new-alwayses
 (implies
  (set-equiv acl2::x acl2::y)
  (set-equiv
       (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc)
       (vl-edgesplit-make-new-alwayses acl2::y ctrl body atts loc)))
 :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-edgesplit-make-new-alwayses-when-subsetp

(defthm subsetp-of-vl-edgesplit-make-new-alwayses-when-subsetp
 (implies
  (subsetp acl2::x acl2::y)
  (subsetp
       (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc)
       (vl-edgesplit-make-new-alwayses acl2::y ctrl body atts loc)))
 :rule-classes ((:rewrite)))

Theorem: member-of-vl-edgesplit-make-new-always-in-vl-edgesplit-make-new-alwayses

(defthm
 member-of-vl-edgesplit-make-new-always-in-vl-edgesplit-make-new-alwayses
 (implies
  (member acl2::k acl2::x)
  (member
       (vl-edgesplit-make-new-always acl2::k ctrl body atts loc)
       (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc)))
 :rule-classes ((:rewrite)))

Theorem: vl-edgesplit-make-new-alwayses-of-rev

(defthm vl-edgesplit-make-new-alwayses-of-rev
 (equal
  (vl-edgesplit-make-new-alwayses (rev acl2::x)
                                  ctrl body atts loc)
  (rev (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc)))
 :rule-classes ((:rewrite)))

Theorem: vl-edgesplit-make-new-alwayses-of-list-fix

(defthm vl-edgesplit-make-new-alwayses-of-list-fix
 (equal (vl-edgesplit-make-new-alwayses (list-fix acl2::x)
                                        ctrl body atts loc)
        (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc))
 :rule-classes ((:rewrite)))

Theorem: vl-edgesplit-make-new-alwayses-of-append

(defthm vl-edgesplit-make-new-alwayses-of-append
 (equal
  (vl-edgesplit-make-new-alwayses (append acl2::a acl2::b)
                                  ctrl body atts loc)
  (append
       (vl-edgesplit-make-new-alwayses acl2::a ctrl body atts loc)
       (vl-edgesplit-make-new-alwayses acl2::b ctrl body atts loc)))
 :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-edgesplit-make-new-alwayses

(defthm cdr-of-vl-edgesplit-make-new-alwayses
 (equal
   (cdr (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc))
   (vl-edgesplit-make-new-alwayses (cdr acl2::x)
                                   ctrl body atts loc))
 :rule-classes ((:rewrite)))

Theorem: car-of-vl-edgesplit-make-new-alwayses

(defthm car-of-vl-edgesplit-make-new-alwayses
 (equal
   (car (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc))
   (and (consp acl2::x)
        (vl-edgesplit-make-new-always (car acl2::x)
                                      ctrl body atts loc)))
 :rule-classes ((:rewrite)))

Theorem: vl-edgesplit-make-new-alwayses-under-iff

(defthm vl-edgesplit-make-new-alwayses-under-iff
  (iff (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-edgesplit-make-new-alwayses

(defthm consp-of-vl-edgesplit-make-new-alwayses
 (equal
   (consp
        (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc))
   (consp acl2::x))
 :rule-classes ((:rewrite)))

Theorem: len-of-vl-edgesplit-make-new-alwayses

(defthm len-of-vl-edgesplit-make-new-alwayses
 (equal
   (len (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc))
   (len acl2::x))
 :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-edgesplit-make-new-alwayses

(defthm true-listp-of-vl-edgesplit-make-new-alwayses
  (true-listp
       (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc))
  :rule-classes :type-prescription)

Theorem: vl-edgesplit-make-new-alwayses-when-not-consp

(defthm vl-edgesplit-make-new-alwayses-when-not-consp
 (implies
  (not (consp acl2::x))
  (equal (vl-edgesplit-make-new-alwayses acl2::x ctrl body atts loc)
         nil))
 :rule-classes ((:rewrite)))

Theorem: vl-edgesplit-make-new-alwayses-of-cons

(defthm vl-edgesplit-make-new-alwayses-of-cons
 (equal
  (vl-edgesplit-make-new-alwayses (cons acl2::a acl2::b)
                                  ctrl body atts loc)
  (cons
       (vl-edgesplit-make-new-always acl2::a ctrl body atts loc)
       (vl-edgesplit-make-new-alwayses acl2::b ctrl body atts loc)))
 :rule-classes ((:rewrite)))

Theorem: vl-alwayslist-p-of-vl-edgesplit-make-new-alwayses

(defthm vl-alwayslist-p-of-vl-edgesplit-make-new-alwayses
  (implies
       (force (and (string-listp x)
                   (vl-delayoreventcontrol-p ctrl)
                   (vl-edge-control-p ctrl)
                   (vl-stmt-p body)
                   (vl-edgesplitstmt-p body)
                   (vl-atts-p atts)
                   (vl-location-p loc)))
       (vl-alwayslist-p
            (vl-edgesplit-make-new-alwayses x ctrl body atts loc))))