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• Duplicate-detect

Vl-duplicate-detect-strip-gateinsts

(vl-duplicate-detect-strip-gateinsts x) maps vl-duplicate-detect-strip-gateinst across a list.

Signature

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

Arguments

x — Guard (vl-gateinstlist-p x).

Returns

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

This is an ordinary defprojection.

Definitions and Theorems

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

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

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

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

Function: vl-duplicate-detect-strip-gateinsts

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

Theorem: vl-gateinstlist-p-of-vl-duplicate-detect-strip-gateinsts

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Theorem: member-of-vl-duplicate-detect-strip-gateinst-in-vl-duplicate-detect-strip-gateinsts

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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