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• Duplicate-detect

Vl-duplicate-detect-strip-properties

(vl-duplicate-detect-strip-properties x) maps vl-property-strip across a list.

Signature

(vl-duplicate-detect-strip-properties x) → stripped-x

Arguments

x — Guard (vl-propertylist-p x).

Returns

stripped-x — Type (vl-propertylist-p stripped-x).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-duplicate-detect-strip-properties-exec

(defun vl-duplicate-detect-strip-properties-exec (x acc)
  (declare (xargs :guard (vl-propertylist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-duplicate-detect-strip-properties-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-duplicate-detect-strip-properties-exec
             (cdr x)
             (cons (vl-property-strip (car x)) acc))
      acc)))

Function: vl-duplicate-detect-strip-properties-nrev

(defun vl-duplicate-detect-strip-properties-nrev (x nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (vl-propertylist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-duplicate-detect-strip-properties-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (nrev-fix nrev)
      (let ((nrev (nrev-push (vl-property-strip (car x))
                             nrev)))
        (vl-duplicate-detect-strip-properties-nrev (cdr x)
                                                   nrev)))))

Function: vl-duplicate-detect-strip-properties

(defun vl-duplicate-detect-strip-properties (x)
 (declare (xargs :guard (vl-propertylist-p x)))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-duplicate-detect-strip-properties))
  (declare (ignorable __function__))
  (mbe
      :logic
      (if (consp x)
          (cons (vl-property-strip (car x))
                (vl-duplicate-detect-strip-properties (cdr x)))
        nil)
      :exec
      (if (atom x)
          nil
        (with-local-nrev
             (vl-duplicate-detect-strip-properties-nrev x nrev))))))

Theorem: vl-propertylist-p-of-vl-duplicate-detect-strip-properties

(defthm vl-propertylist-p-of-vl-duplicate-detect-strip-properties
  (b* ((stripped-x (vl-duplicate-detect-strip-properties x)))
    (vl-propertylist-p stripped-x))
  :rule-classes :rewrite)

Theorem: vl-duplicate-detect-strip-properties-of-update-nth

(defthm vl-duplicate-detect-strip-properties-of-update-nth
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
       (vl-duplicate-detect-strip-properties
            (update-nth acl2::n acl2::v acl2::x))
       (update-nth acl2::n (vl-property-strip acl2::v)
                   (vl-duplicate-detect-strip-properties acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-properties-of-revappend

(defthm vl-duplicate-detect-strip-properties-of-revappend
 (equal
  (vl-duplicate-detect-strip-properties (revappend acl2::x acl2::y))
  (revappend (vl-duplicate-detect-strip-properties acl2::x)
             (vl-duplicate-detect-strip-properties acl2::y)))
 :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-duplicate-detect-strip-properties

(defthm nthcdr-of-vl-duplicate-detect-strip-properties
 (equal
    (nthcdr acl2::n
            (vl-duplicate-detect-strip-properties acl2::x))
    (vl-duplicate-detect-strip-properties (nthcdr acl2::n acl2::x)))
 :rule-classes ((:rewrite)))

Theorem: nth-of-vl-duplicate-detect-strip-properties

(defthm nth-of-vl-duplicate-detect-strip-properties
  (equal (nth acl2::n
              (vl-duplicate-detect-strip-properties acl2::x))
         (and (< (nfix acl2::n) (len acl2::x))
              (vl-property-strip (nth acl2::n acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-properties-of-take

(defthm vl-duplicate-detect-strip-properties-of-take
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
       (vl-duplicate-detect-strip-properties (take acl2::n acl2::x))
       (take acl2::n
             (vl-duplicate-detect-strip-properties acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-duplicate-detect-strip-properties

(defthm
     set-equiv-congruence-over-vl-duplicate-detect-strip-properties
  (implies
       (set-equiv acl2::x acl2::y)
       (set-equiv (vl-duplicate-detect-strip-properties acl2::x)
                  (vl-duplicate-detect-strip-properties acl2::y)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-duplicate-detect-strip-properties-when-subsetp

(defthm subsetp-of-vl-duplicate-detect-strip-properties-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-duplicate-detect-strip-properties acl2::x)
                    (vl-duplicate-detect-strip-properties acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-property-strip-in-vl-duplicate-detect-strip-properties

(defthm
 member-of-vl-property-strip-in-vl-duplicate-detect-strip-properties
 (implies (member acl2::k acl2::x)
          (member (vl-property-strip acl2::k)
                  (vl-duplicate-detect-strip-properties acl2::x)))
 :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-properties-nrev-removal

(defthm vl-duplicate-detect-strip-properties-nrev-removal
  (equal (vl-duplicate-detect-strip-properties-nrev acl2::x nrev)
         (append nrev
                 (vl-duplicate-detect-strip-properties acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-properties-exec-removal

(defthm vl-duplicate-detect-strip-properties-exec-removal
  (equal
       (vl-duplicate-detect-strip-properties-exec acl2::x acl2::acc)
       (revappend (vl-duplicate-detect-strip-properties acl2::x)
                  acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-properties-of-rev

(defthm vl-duplicate-detect-strip-properties-of-rev
  (equal (vl-duplicate-detect-strip-properties (rev acl2::x))
         (rev (vl-duplicate-detect-strip-properties acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-properties-of-list-fix

(defthm vl-duplicate-detect-strip-properties-of-list-fix
  (equal (vl-duplicate-detect-strip-properties (list-fix acl2::x))
         (vl-duplicate-detect-strip-properties acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-properties-of-append

(defthm vl-duplicate-detect-strip-properties-of-append
 (equal
     (vl-duplicate-detect-strip-properties (append acl2::a acl2::b))
     (append (vl-duplicate-detect-strip-properties acl2::a)
             (vl-duplicate-detect-strip-properties acl2::b)))
 :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-duplicate-detect-strip-properties

(defthm cdr-of-vl-duplicate-detect-strip-properties
  (equal (cdr (vl-duplicate-detect-strip-properties acl2::x))
         (vl-duplicate-detect-strip-properties (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-duplicate-detect-strip-properties

(defthm car-of-vl-duplicate-detect-strip-properties
  (equal (car (vl-duplicate-detect-strip-properties acl2::x))
         (and (consp acl2::x)
              (vl-property-strip (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-properties-under-iff

(defthm vl-duplicate-detect-strip-properties-under-iff
  (iff (vl-duplicate-detect-strip-properties acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-duplicate-detect-strip-properties

(defthm consp-of-vl-duplicate-detect-strip-properties
  (equal (consp (vl-duplicate-detect-strip-properties acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-duplicate-detect-strip-properties

(defthm len-of-vl-duplicate-detect-strip-properties
  (equal (len (vl-duplicate-detect-strip-properties acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-duplicate-detect-strip-properties

(defthm true-listp-of-vl-duplicate-detect-strip-properties
  (true-listp (vl-duplicate-detect-strip-properties acl2::x))
  :rule-classes :type-prescription)

Theorem: vl-duplicate-detect-strip-properties-when-not-consp

(defthm vl-duplicate-detect-strip-properties-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-duplicate-detect-strip-properties acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-duplicate-detect-strip-properties-of-cons

(defthm vl-duplicate-detect-strip-properties-of-cons
  (equal
       (vl-duplicate-detect-strip-properties (cons acl2::a acl2::b))
       (cons (vl-property-strip acl2::a)
             (vl-duplicate-detect-strip-properties acl2::b)))
  :rule-classes ((:rewrite)))