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Duplicate-detect

Vl-duplicate-detect-strip-sequences

(vl-duplicate-detect-strip-sequences x) maps vl-sequence-strip across a list.

Signature
(vl-duplicate-detect-strip-sequences x) → stripped-x
Arguments: x — Guard (vl-sequencelist-p x).
Returns: stripped-x — Type (vl-sequencelist-p stripped-x).

This is an ordinary defprojection.

Definitions and Theorems

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

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

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

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

Function: vl-duplicate-detect-strip-sequences

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

Theorem: vl-sequencelist-p-of-vl-duplicate-detect-strip-sequences

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Theorem: member-of-vl-sequence-strip-in-vl-duplicate-detect-strip-sequences

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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