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    • Origexprs

    Vl-assignlist-origexprs

    Add VL_ORIG_EXPR annotations throughout a vl-assignlist-p

    Signature
    (vl-assignlist-origexprs x) → new-x
    Arguments
    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-assignlist-origexprs-exec

    (defun vl-assignlist-origexprs-exec (x acc)
     (declare (xargs :guard (vl-assignlist-p x)))
     (declare (xargs :guard t))
     (let ((__function__ 'vl-assignlist-origexprs-exec))
      (declare (ignorable __function__))
      (if
       (consp x)
       (vl-assignlist-origexprs-exec (cdr x)
                                     (cons (vl-assign-origexprs (car x))
                                           acc))
       acc)))

    Function: vl-assignlist-origexprs-nrev

    (defun vl-assignlist-origexprs-nrev (x nrev)
      (declare (xargs :stobjs (nrev)))
      (declare (xargs :guard (vl-assignlist-p x)))
      (declare (xargs :guard t))
      (let ((__function__ 'vl-assignlist-origexprs-nrev))
        (declare (ignorable __function__))
        (if (atom x)
            (nrev-fix nrev)
          (let ((nrev (nrev-push (vl-assign-origexprs (car x))
                                 nrev)))
            (vl-assignlist-origexprs-nrev (cdr x)
                                          nrev)))))

    Function: vl-assignlist-origexprs

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

    Theorem: vl-assignlist-p-of-vl-assignlist-origexprs

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

    Theorem: vl-assignlist-origexprs-of-vl-assignlist-fix-x

    (defthm vl-assignlist-origexprs-of-vl-assignlist-fix-x
      (equal (vl-assignlist-origexprs (vl-assignlist-fix x))
             (vl-assignlist-origexprs x)))

    Theorem: vl-assignlist-origexprs-vl-assignlist-equiv-congruence-on-x

    (defthm vl-assignlist-origexprs-vl-assignlist-equiv-congruence-on-x
      (implies (vl-assignlist-equiv x x-equiv)
               (equal (vl-assignlist-origexprs x)
                      (vl-assignlist-origexprs x-equiv)))
      :rule-classes :congruence)

    Theorem: vl-assignlist-origexprs-of-update-nth

    (defthm vl-assignlist-origexprs-of-update-nth
     (implies
      (<= (nfix acl2::n) (len acl2::x))
      (equal
          (vl-assignlist-origexprs (update-nth acl2::n acl2::v acl2::x))
          (update-nth acl2::n (vl-assign-origexprs acl2::v)
                      (vl-assignlist-origexprs acl2::x))))
     :rule-classes ((:rewrite)))

    Theorem: vl-assignlist-origexprs-of-revappend

    (defthm vl-assignlist-origexprs-of-revappend
      (equal (vl-assignlist-origexprs (revappend acl2::x acl2::y))
             (revappend (vl-assignlist-origexprs acl2::x)
                        (vl-assignlist-origexprs acl2::y)))
      :rule-classes ((:rewrite)))

    Theorem: nthcdr-of-vl-assignlist-origexprs

    (defthm nthcdr-of-vl-assignlist-origexprs
      (equal (nthcdr acl2::n
                     (vl-assignlist-origexprs acl2::x))
             (vl-assignlist-origexprs (nthcdr acl2::n acl2::x)))
      :rule-classes ((:rewrite)))

    Theorem: nth-of-vl-assignlist-origexprs

    (defthm nth-of-vl-assignlist-origexprs
      (equal (nth acl2::n
                  (vl-assignlist-origexprs acl2::x))
             (and (< (nfix acl2::n) (len acl2::x))
                  (vl-assign-origexprs (nth acl2::n acl2::x))))
      :rule-classes ((:rewrite)))

    Theorem: vl-assignlist-origexprs-nrev-removal

    (defthm vl-assignlist-origexprs-nrev-removal
      (equal (vl-assignlist-origexprs-nrev acl2::x nrev)
             (append nrev (vl-assignlist-origexprs acl2::x)))
      :rule-classes ((:rewrite)))

    Theorem: vl-assignlist-origexprs-exec-removal

    (defthm vl-assignlist-origexprs-exec-removal
      (equal (vl-assignlist-origexprs-exec acl2::x acl2::acc)
             (revappend (vl-assignlist-origexprs acl2::x)
                        acl2::acc))
      :rule-classes ((:rewrite)))

    Theorem: vl-assignlist-origexprs-of-take

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

    Theorem: set-equiv-congruence-over-vl-assignlist-origexprs

    (defthm set-equiv-congruence-over-vl-assignlist-origexprs
      (implies (set-equiv acl2::x acl2::y)
               (set-equiv (vl-assignlist-origexprs acl2::x)
                          (vl-assignlist-origexprs acl2::y)))
      :rule-classes ((:congruence)))

    Theorem: subsetp-of-vl-assignlist-origexprs-when-subsetp

    (defthm subsetp-of-vl-assignlist-origexprs-when-subsetp
      (implies (subsetp acl2::x acl2::y)
               (subsetp (vl-assignlist-origexprs acl2::x)
                        (vl-assignlist-origexprs acl2::y)))
      :rule-classes ((:rewrite)))

    Theorem: member-of-vl-assign-origexprs-in-vl-assignlist-origexprs

    (defthm member-of-vl-assign-origexprs-in-vl-assignlist-origexprs
      (implies (member acl2::k acl2::x)
               (member (vl-assign-origexprs acl2::k)
                       (vl-assignlist-origexprs acl2::x)))
      :rule-classes ((:rewrite)))

    Theorem: vl-assignlist-origexprs-of-rev

    (defthm vl-assignlist-origexprs-of-rev
      (equal (vl-assignlist-origexprs (rev acl2::x))
             (rev (vl-assignlist-origexprs acl2::x)))
      :rule-classes ((:rewrite)))

    Theorem: vl-assignlist-origexprs-of-list-fix

    (defthm vl-assignlist-origexprs-of-list-fix
      (equal (vl-assignlist-origexprs (list-fix acl2::x))
             (vl-assignlist-origexprs acl2::x))
      :rule-classes ((:rewrite)))

    Theorem: vl-assignlist-origexprs-of-append

    (defthm vl-assignlist-origexprs-of-append
      (equal (vl-assignlist-origexprs (append acl2::a acl2::b))
             (append (vl-assignlist-origexprs acl2::a)
                     (vl-assignlist-origexprs acl2::b)))
      :rule-classes ((:rewrite)))

    Theorem: cdr-of-vl-assignlist-origexprs

    (defthm cdr-of-vl-assignlist-origexprs
      (equal (cdr (vl-assignlist-origexprs acl2::x))
             (vl-assignlist-origexprs (cdr acl2::x)))
      :rule-classes ((:rewrite)))

    Theorem: car-of-vl-assignlist-origexprs

    (defthm car-of-vl-assignlist-origexprs
      (equal (car (vl-assignlist-origexprs acl2::x))
             (and (consp acl2::x)
                  (vl-assign-origexprs (car acl2::x))))
      :rule-classes ((:rewrite)))

    Theorem: vl-assignlist-origexprs-under-iff

    (defthm vl-assignlist-origexprs-under-iff
      (iff (vl-assignlist-origexprs acl2::x)
           (consp acl2::x))
      :rule-classes ((:rewrite)))

    Theorem: consp-of-vl-assignlist-origexprs

    (defthm consp-of-vl-assignlist-origexprs
      (equal (consp (vl-assignlist-origexprs acl2::x))
             (consp acl2::x))
      :rule-classes ((:rewrite)))

    Theorem: len-of-vl-assignlist-origexprs

    (defthm len-of-vl-assignlist-origexprs
      (equal (len (vl-assignlist-origexprs acl2::x))
             (len acl2::x))
      :rule-classes ((:rewrite)))

    Theorem: true-listp-of-vl-assignlist-origexprs

    (defthm true-listp-of-vl-assignlist-origexprs
      (true-listp (vl-assignlist-origexprs acl2::x))
      :rule-classes :type-prescription)

    Theorem: vl-assignlist-origexprs-when-not-consp

    (defthm vl-assignlist-origexprs-when-not-consp
      (implies (not (consp acl2::x))
               (equal (vl-assignlist-origexprs acl2::x)
                      nil))
      :rule-classes ((:rewrite)))

    Theorem: vl-assignlist-origexprs-of-cons

    (defthm vl-assignlist-origexprs-of-cons
      (equal (vl-assignlist-origexprs (cons acl2::a acl2::b))
             (cons (vl-assign-origexprs acl2::a)
                   (vl-assignlist-origexprs acl2::b)))
      :rule-classes ((:rewrite)))