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• Relocate
• Vl-assignlist-p

Vl-relocate-assigns

(vl-relocate-assigns loc x) maps change-vl-assign across a list.

Signature

(vl-relocate-assigns loc x) → new-x

Arguments

loc — Guard (vl-location-p loc).

x — Guard (vl-assignlist-p x).

Returns

new-x — Type (vl-assignlist-p new-x).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-relocate-assigns-exec

(defun vl-relocate-assigns-exec (loc x acc)
  (declare (xargs :guard (and (vl-location-p loc)
                              (vl-assignlist-p x))))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-relocate-assigns-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-relocate-assigns-exec
             loc (cdr x)
             (cons (change-vl-assign (car x) :loc loc)
                   acc))
      acc)))

Function: vl-relocate-assigns-nrev

(defun vl-relocate-assigns-nrev (loc x nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (and (vl-location-p loc)
                              (vl-assignlist-p x))))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-relocate-assigns-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (nrev-fix nrev)
      (let ((nrev (nrev-push (change-vl-assign (car x) :loc loc)
                             nrev)))
        (vl-relocate-assigns-nrev loc (cdr x)
                                  nrev)))))

Function: vl-relocate-assigns

(defun vl-relocate-assigns (loc x)
 (declare (xargs :guard (and (vl-location-p loc)
                             (vl-assignlist-p x))))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-relocate-assigns))
  (declare (ignorable __function__))
  (mbe :logic
       (if (consp x)
           (cons (change-vl-assign (car x) :loc loc)
                 (vl-relocate-assigns loc (cdr x)))
         nil)
       :exec
       (if (atom x)
           nil
         (with-local-nrev (vl-relocate-assigns-nrev loc x nrev))))))

Theorem: vl-assignlist-p-of-vl-relocate-assigns

(defthm vl-assignlist-p-of-vl-relocate-assigns
  (b* ((new-x (vl-relocate-assigns loc x)))
    (vl-assignlist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-relocate-assigns-of-vl-location-fix-loc

(defthm vl-relocate-assigns-of-vl-location-fix-loc
  (equal (vl-relocate-assigns (vl-location-fix loc)
                              x)
         (vl-relocate-assigns loc x)))

Theorem: vl-relocate-assigns-vl-location-equiv-congruence-on-loc

(defthm vl-relocate-assigns-vl-location-equiv-congruence-on-loc
  (implies (vl-location-equiv loc loc-equiv)
           (equal (vl-relocate-assigns loc x)
                  (vl-relocate-assigns loc-equiv x)))
  :rule-classes :congruence)

Theorem: vl-relocate-assigns-of-vl-assignlist-fix-x

(defthm vl-relocate-assigns-of-vl-assignlist-fix-x
  (equal (vl-relocate-assigns loc (vl-assignlist-fix x))
         (vl-relocate-assigns loc x)))

Theorem: vl-relocate-assigns-vl-assignlist-equiv-congruence-on-x

(defthm vl-relocate-assigns-vl-assignlist-equiv-congruence-on-x
  (implies (vl-assignlist-equiv x x-equiv)
           (equal (vl-relocate-assigns loc x)
                  (vl-relocate-assigns loc x-equiv)))
  :rule-classes :congruence)

Theorem: vl-relocate-assigns-of-update-nth

(defthm vl-relocate-assigns-of-update-nth
 (implies
   (<= (nfix acl2::n) (len acl2::x))
   (equal (vl-relocate-assigns loc
                               (update-nth acl2::n acl2::v acl2::x))
          (update-nth acl2::n
                      (change-vl-assign acl2::v :loc loc)
                      (vl-relocate-assigns loc acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: vl-relocate-assigns-of-revappend

(defthm vl-relocate-assigns-of-revappend
  (equal (vl-relocate-assigns loc (revappend acl2::x acl2::y))
         (revappend (vl-relocate-assigns loc acl2::x)
                    (vl-relocate-assigns loc acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-relocate-assigns

(defthm nthcdr-of-vl-relocate-assigns
  (equal (nthcdr acl2::n
                 (vl-relocate-assigns loc acl2::x))
         (vl-relocate-assigns loc (nthcdr acl2::n acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: nth-of-vl-relocate-assigns

(defthm nth-of-vl-relocate-assigns
  (equal (nth acl2::n
              (vl-relocate-assigns loc acl2::x))
         (and (< (nfix acl2::n) (len acl2::x))
              (change-vl-assign (nth acl2::n acl2::x)
                                :loc loc)))
  :rule-classes ((:rewrite)))

Theorem: vl-relocate-assigns-nrev-removal

(defthm vl-relocate-assigns-nrev-removal
  (equal (vl-relocate-assigns-nrev loc acl2::x nrev)
         (append nrev (vl-relocate-assigns loc acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-relocate-assigns-exec-removal

(defthm vl-relocate-assigns-exec-removal
  (equal (vl-relocate-assigns-exec loc acl2::x acl2::acc)
         (revappend (vl-relocate-assigns loc acl2::x)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: vl-relocate-assigns-of-take

(defthm vl-relocate-assigns-of-take
  (implies (<= (nfix acl2::n) (len acl2::x))
           (equal (vl-relocate-assigns loc (take acl2::n acl2::x))
                  (take acl2::n
                        (vl-relocate-assigns loc acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-relocate-assigns

(defthm set-equiv-congruence-over-vl-relocate-assigns
  (implies (set-equiv acl2::x acl2::y)
           (set-equiv (vl-relocate-assigns loc acl2::x)
                      (vl-relocate-assigns loc acl2::y)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-relocate-assigns-when-subsetp

(defthm subsetp-of-vl-relocate-assigns-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-relocate-assigns loc acl2::x)
                    (vl-relocate-assigns loc acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: member-of-change-vl-assign-in-vl-relocate-assigns

(defthm member-of-change-vl-assign-in-vl-relocate-assigns
  (implies (member acl2::k acl2::x)
           (member (change-vl-assign acl2::k :loc loc)
                   (vl-relocate-assigns loc acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-relocate-assigns-of-rev

(defthm vl-relocate-assigns-of-rev
  (equal (vl-relocate-assigns loc (rev acl2::x))
         (rev (vl-relocate-assigns loc acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-relocate-assigns-of-list-fix

(defthm vl-relocate-assigns-of-list-fix
  (equal (vl-relocate-assigns loc (list-fix acl2::x))
         (vl-relocate-assigns loc acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-relocate-assigns-of-append

(defthm vl-relocate-assigns-of-append
  (equal (vl-relocate-assigns loc (append acl2::a acl2::b))
         (append (vl-relocate-assigns loc acl2::a)
                 (vl-relocate-assigns loc acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-relocate-assigns

(defthm cdr-of-vl-relocate-assigns
  (equal (cdr (vl-relocate-assigns loc acl2::x))
         (vl-relocate-assigns loc (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-relocate-assigns

(defthm car-of-vl-relocate-assigns
  (equal (car (vl-relocate-assigns loc acl2::x))
         (and (consp acl2::x)
              (change-vl-assign (car acl2::x)
                                :loc loc)))
  :rule-classes ((:rewrite)))

Theorem: vl-relocate-assigns-under-iff

(defthm vl-relocate-assigns-under-iff
  (iff (vl-relocate-assigns loc acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-relocate-assigns

(defthm consp-of-vl-relocate-assigns
  (equal (consp (vl-relocate-assigns loc acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-relocate-assigns

(defthm len-of-vl-relocate-assigns
  (equal (len (vl-relocate-assigns loc acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-relocate-assigns

(defthm true-listp-of-vl-relocate-assigns
  (true-listp (vl-relocate-assigns loc acl2::x))
  :rule-classes :type-prescription)

Theorem: vl-relocate-assigns-when-not-consp

(defthm vl-relocate-assigns-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-relocate-assigns loc acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-relocate-assigns-of-cons

(defthm vl-relocate-assigns-of-cons
  (equal (vl-relocate-assigns loc (cons acl2::a acl2::b))
         (cons (change-vl-assign acl2::a :loc loc)
               (vl-relocate-assigns loc acl2::b)))
  :rule-classes ((:rewrite)))