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• Relocate
• Vl-modinstlist-p

Vl-relocate-modinsts

(vl-relocate-modinsts loc x) maps change-vl-modinst across a list.

Signature

(vl-relocate-modinsts loc x) → new-x

Arguments

loc — Guard (vl-location-p loc).

x — Guard (vl-modinstlist-p x).

Returns

new-x — Type (vl-modinstlist-p new-x).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-relocate-modinsts-exec

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

Function: vl-relocate-modinsts-nrev

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

Function: vl-relocate-modinsts

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

Theorem: vl-modinstlist-p-of-vl-relocate-modinsts

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

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

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

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

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

Theorem: vl-relocate-modinsts-of-vl-modinstlist-fix-x

(defthm vl-relocate-modinsts-of-vl-modinstlist-fix-x
  (equal (vl-relocate-modinsts loc (vl-modinstlist-fix x))
         (vl-relocate-modinsts loc x)))

Theorem: vl-relocate-modinsts-vl-modinstlist-equiv-congruence-on-x

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

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

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

Theorem: vl-relocate-modinsts-of-revappend

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

Theorem: nthcdr-of-vl-relocate-modinsts

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

Theorem: nth-of-vl-relocate-modinsts

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

Theorem: vl-relocate-modinsts-nrev-removal

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

Theorem: vl-relocate-modinsts-exec-removal

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

Theorem: vl-relocate-modinsts-of-take

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

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

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

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

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

Theorem: member-of-change-vl-modinst-in-vl-relocate-modinsts

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

Theorem: vl-relocate-modinsts-of-rev

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

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

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

Theorem: vl-relocate-modinsts-of-append

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

Theorem: cdr-of-vl-relocate-modinsts

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

Theorem: car-of-vl-relocate-modinsts

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

Theorem: vl-relocate-modinsts-under-iff

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

Theorem: consp-of-vl-relocate-modinsts

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

Theorem: len-of-vl-relocate-modinsts

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

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

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

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

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

Theorem: vl-relocate-modinsts-of-cons

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