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Vl-warninglist-add-ctx

(vl-warninglist-add-ctx x ctx) maps vl-warning-add-ctx across a list.

Signature

(vl-warninglist-add-ctx x ctx) → new-x

Arguments

x — Guard (vl-warninglist-p x).

Returns

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

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-warninglist-add-ctx-exec

(defun vl-warninglist-add-ctx-exec (x ctx acc)
  (declare (xargs :guard (vl-warninglist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-warninglist-add-ctx-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-warninglist-add-ctx-exec
             (cdr x)
             ctx
             (cons (vl-warning-add-ctx (car x) ctx)
                   acc))
      acc)))

Function: vl-warninglist-add-ctx-nrev

(defun vl-warninglist-add-ctx-nrev (x ctx nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (vl-warninglist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-warninglist-add-ctx-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (nrev-fix nrev)
      (let ((nrev (nrev-push (vl-warning-add-ctx (car x) ctx)
                             nrev)))
        (vl-warninglist-add-ctx-nrev (cdr x)
                                     ctx nrev)))))

Function: vl-warninglist-add-ctx

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

Theorem: vl-warninglist-p-of-vl-warninglist-add-ctx

(defthm vl-warninglist-p-of-vl-warninglist-add-ctx
  (b* ((new-x (vl-warninglist-add-ctx x ctx)))
    (vl-warninglist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-warninglist-add-ctx-of-vl-warninglist-fix-x

(defthm vl-warninglist-add-ctx-of-vl-warninglist-fix-x
  (equal (vl-warninglist-add-ctx (vl-warninglist-fix x)
                                 ctx)
         (vl-warninglist-add-ctx x ctx)))

Theorem: vl-warninglist-add-ctx-vl-warninglist-equiv-congruence-on-x

(defthm vl-warninglist-add-ctx-vl-warninglist-equiv-congruence-on-x
  (implies (vl-warninglist-equiv x x-equiv)
           (equal (vl-warninglist-add-ctx x ctx)
                  (vl-warninglist-add-ctx x-equiv ctx)))
  :rule-classes :congruence)

Theorem: vl-warninglist-add-ctx-of-update-nth

(defthm vl-warninglist-add-ctx-of-update-nth
 (implies
   (<= (nfix acl2::n) (len acl2::x))
   (equal
        (vl-warninglist-add-ctx (update-nth acl2::n acl2::v acl2::x)
                                ctx)
        (update-nth acl2::n (vl-warning-add-ctx acl2::v ctx)
                    (vl-warninglist-add-ctx acl2::x ctx))))
 :rule-classes ((:rewrite)))

Theorem: vl-warninglist-add-ctx-of-revappend

(defthm vl-warninglist-add-ctx-of-revappend
  (equal (vl-warninglist-add-ctx (revappend acl2::x acl2::y)
                                 ctx)
         (revappend (vl-warninglist-add-ctx acl2::x ctx)
                    (vl-warninglist-add-ctx acl2::y ctx)))
  :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-warninglist-add-ctx

(defthm nthcdr-of-vl-warninglist-add-ctx
  (equal (nthcdr acl2::n
                 (vl-warninglist-add-ctx acl2::x ctx))
         (vl-warninglist-add-ctx (nthcdr acl2::n acl2::x)
                                 ctx))
  :rule-classes ((:rewrite)))

Theorem: nth-of-vl-warninglist-add-ctx

(defthm nth-of-vl-warninglist-add-ctx
  (equal (nth acl2::n
              (vl-warninglist-add-ctx acl2::x ctx))
         (and (< (nfix acl2::n) (len acl2::x))
              (vl-warning-add-ctx (nth acl2::n acl2::x)
                                  ctx)))
  :rule-classes ((:rewrite)))

Theorem: vl-warninglist-add-ctx-nrev-removal

(defthm vl-warninglist-add-ctx-nrev-removal
  (equal (vl-warninglist-add-ctx-nrev acl2::x ctx nrev)
         (append nrev
                 (vl-warninglist-add-ctx acl2::x ctx)))
  :rule-classes ((:rewrite)))

Theorem: vl-warninglist-add-ctx-exec-removal

(defthm vl-warninglist-add-ctx-exec-removal
  (equal (vl-warninglist-add-ctx-exec acl2::x ctx acl2::acc)
         (revappend (vl-warninglist-add-ctx acl2::x ctx)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: vl-warninglist-add-ctx-of-take

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

Theorem: set-equiv-congruence-over-vl-warninglist-add-ctx

(defthm set-equiv-congruence-over-vl-warninglist-add-ctx
  (implies (set-equiv acl2::x acl2::y)
           (set-equiv (vl-warninglist-add-ctx acl2::x ctx)
                      (vl-warninglist-add-ctx acl2::y ctx)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-warninglist-add-ctx-when-subsetp

(defthm subsetp-of-vl-warninglist-add-ctx-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-warninglist-add-ctx acl2::x ctx)
                    (vl-warninglist-add-ctx acl2::y ctx)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-warning-add-ctx-in-vl-warninglist-add-ctx

(defthm member-of-vl-warning-add-ctx-in-vl-warninglist-add-ctx
  (implies (member acl2::k acl2::x)
           (member (vl-warning-add-ctx acl2::k ctx)
                   (vl-warninglist-add-ctx acl2::x ctx)))
  :rule-classes ((:rewrite)))

Theorem: vl-warninglist-add-ctx-of-rev

(defthm vl-warninglist-add-ctx-of-rev
  (equal (vl-warninglist-add-ctx (rev acl2::x)
                                 ctx)
         (rev (vl-warninglist-add-ctx acl2::x ctx)))
  :rule-classes ((:rewrite)))

Theorem: vl-warninglist-add-ctx-of-list-fix

(defthm vl-warninglist-add-ctx-of-list-fix
  (equal (vl-warninglist-add-ctx (list-fix acl2::x)
                                 ctx)
         (vl-warninglist-add-ctx acl2::x ctx))
  :rule-classes ((:rewrite)))

Theorem: vl-warninglist-add-ctx-of-append

(defthm vl-warninglist-add-ctx-of-append
  (equal (vl-warninglist-add-ctx (append acl2::a acl2::b)
                                 ctx)
         (append (vl-warninglist-add-ctx acl2::a ctx)
                 (vl-warninglist-add-ctx acl2::b ctx)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-warninglist-add-ctx

(defthm cdr-of-vl-warninglist-add-ctx
  (equal (cdr (vl-warninglist-add-ctx acl2::x ctx))
         (vl-warninglist-add-ctx (cdr acl2::x)
                                 ctx))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-warninglist-add-ctx

(defthm car-of-vl-warninglist-add-ctx
  (equal (car (vl-warninglist-add-ctx acl2::x ctx))
         (and (consp acl2::x)
              (vl-warning-add-ctx (car acl2::x) ctx)))
  :rule-classes ((:rewrite)))

Theorem: vl-warninglist-add-ctx-under-iff

(defthm vl-warninglist-add-ctx-under-iff
  (iff (vl-warninglist-add-ctx acl2::x ctx)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-warninglist-add-ctx

(defthm consp-of-vl-warninglist-add-ctx
  (equal (consp (vl-warninglist-add-ctx acl2::x ctx))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-warninglist-add-ctx

(defthm len-of-vl-warninglist-add-ctx
  (equal (len (vl-warninglist-add-ctx acl2::x ctx))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-warninglist-add-ctx

(defthm true-listp-of-vl-warninglist-add-ctx
  (true-listp (vl-warninglist-add-ctx acl2::x ctx))
  :rule-classes :type-prescription)

Theorem: vl-warninglist-add-ctx-when-not-consp

(defthm vl-warninglist-add-ctx-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-warninglist-add-ctx acl2::x ctx)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-warninglist-add-ctx-of-cons

(defthm vl-warninglist-add-ctx-of-cons
  (equal (vl-warninglist-add-ctx (cons acl2::a acl2::b)
                                 ctx)
         (cons (vl-warning-add-ctx acl2::a ctx)
               (vl-warninglist-add-ctx acl2::b ctx)))
  :rule-classes ((:rewrite)))