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    • Selfassigns

    Vl-modulelist-check-selfassigns

    (vl-modulelist-check-selfassigns x) maps vl-module-check-selfassigns across a list.

    Signature
    (vl-modulelist-check-selfassigns x) → *

    This is an ordinary defprojection.

    Definitions and Theorems

    Function: vl-modulelist-check-selfassigns-exec

    (defun vl-modulelist-check-selfassigns-exec (x acc)
      (declare (xargs :guard (vl-modulelist-p x)))
      (let ((__function__ 'vl-modulelist-check-selfassigns-exec))
        (declare (ignorable __function__))
        (if (consp x)
            (vl-modulelist-check-selfassigns-exec
                 (cdr x)
                 (cons (vl-module-check-selfassigns (car x))
                       acc))
          acc)))

    Function: vl-modulelist-check-selfassigns-nrev

    (defun vl-modulelist-check-selfassigns-nrev (x nrev)
      (declare (xargs :stobjs (nrev)))
      (declare (xargs :guard (vl-modulelist-p x)))
      (let ((__function__ 'vl-modulelist-check-selfassigns-nrev))
        (declare (ignorable __function__))
        (if (atom x)
            (nrev-fix nrev)
          (let ((nrev (nrev-push (vl-module-check-selfassigns (car x))
                                 nrev)))
            (vl-modulelist-check-selfassigns-nrev (cdr x)
                                                  nrev)))))

    Function: vl-modulelist-check-selfassigns

    (defun vl-modulelist-check-selfassigns (x)
      (declare (xargs :guard (vl-modulelist-p x)))
      (let ((__function__ 'vl-modulelist-check-selfassigns))
        (declare (ignorable __function__))
        (mbe :logic
             (if (consp x)
                 (cons (vl-module-check-selfassigns (car x))
                       (vl-modulelist-check-selfassigns (cdr x)))
               nil)
             :exec
             (if (atom x)
                 nil
               (with-local-nrev
                    (vl-modulelist-check-selfassigns-nrev x nrev))))))

    Theorem: vl-modulelist-check-selfassigns-of-update-nth

    (defthm vl-modulelist-check-selfassigns-of-update-nth
     (implies
         (<= (nfix acl2::n) (len acl2::x))
         (equal (vl-modulelist-check-selfassigns
                     (update-nth acl2::n acl2::v acl2::x))
                (update-nth acl2::n
                            (vl-module-check-selfassigns acl2::v)
                            (vl-modulelist-check-selfassigns acl2::x))))
     :rule-classes ((:rewrite)))

    Theorem: vl-modulelist-check-selfassigns-of-revappend

    (defthm vl-modulelist-check-selfassigns-of-revappend
      (equal
           (vl-modulelist-check-selfassigns (revappend acl2::x acl2::y))
           (revappend (vl-modulelist-check-selfassigns acl2::x)
                      (vl-modulelist-check-selfassigns acl2::y)))
      :rule-classes ((:rewrite)))

    Theorem: nthcdr-of-vl-modulelist-check-selfassigns

    (defthm nthcdr-of-vl-modulelist-check-selfassigns
      (equal (nthcdr acl2::n
                     (vl-modulelist-check-selfassigns acl2::x))
             (vl-modulelist-check-selfassigns (nthcdr acl2::n acl2::x)))
      :rule-classes ((:rewrite)))

    Theorem: nth-of-vl-modulelist-check-selfassigns

    (defthm nth-of-vl-modulelist-check-selfassigns
      (equal (nth acl2::n
                  (vl-modulelist-check-selfassigns acl2::x))
             (and (< (nfix acl2::n) (len acl2::x))
                  (vl-module-check-selfassigns (nth acl2::n acl2::x))))
      :rule-classes ((:rewrite)))

    Theorem: vl-modulelist-check-selfassigns-nrev-removal

    (defthm vl-modulelist-check-selfassigns-nrev-removal
      (equal (vl-modulelist-check-selfassigns-nrev acl2::x nrev)
             (append nrev
                     (vl-modulelist-check-selfassigns acl2::x)))
      :rule-classes ((:rewrite)))

    Theorem: vl-modulelist-check-selfassigns-exec-removal

    (defthm vl-modulelist-check-selfassigns-exec-removal
      (equal (vl-modulelist-check-selfassigns-exec acl2::x acl2::acc)
             (revappend (vl-modulelist-check-selfassigns acl2::x)
                        acl2::acc))
      :rule-classes ((:rewrite)))

    Theorem: vl-modulelist-check-selfassigns-of-take

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

    Theorem: set-equiv-congruence-over-vl-modulelist-check-selfassigns

    (defthm set-equiv-congruence-over-vl-modulelist-check-selfassigns
      (implies (set-equiv acl2::x acl2::y)
               (set-equiv (vl-modulelist-check-selfassigns acl2::x)
                          (vl-modulelist-check-selfassigns acl2::y)))
      :rule-classes ((:congruence)))

    Theorem: subsetp-of-vl-modulelist-check-selfassigns-when-subsetp

    (defthm subsetp-of-vl-modulelist-check-selfassigns-when-subsetp
      (implies (subsetp acl2::x acl2::y)
               (subsetp (vl-modulelist-check-selfassigns acl2::x)
                        (vl-modulelist-check-selfassigns acl2::y)))
      :rule-classes ((:rewrite)))

    Theorem: member-of-vl-module-check-selfassigns-in-vl-modulelist-check-selfassigns

    (defthm
     member-of-vl-module-check-selfassigns-in-vl-modulelist-check-selfassigns
     (implies (member acl2::k acl2::x)
              (member (vl-module-check-selfassigns acl2::k)
                      (vl-modulelist-check-selfassigns acl2::x)))
     :rule-classes ((:rewrite)))

    Theorem: vl-modulelist-check-selfassigns-of-rev

    (defthm vl-modulelist-check-selfassigns-of-rev
      (equal (vl-modulelist-check-selfassigns (rev acl2::x))
             (rev (vl-modulelist-check-selfassigns acl2::x)))
      :rule-classes ((:rewrite)))

    Theorem: vl-modulelist-check-selfassigns-of-list-fix

    (defthm vl-modulelist-check-selfassigns-of-list-fix
      (equal (vl-modulelist-check-selfassigns (list-fix acl2::x))
             (vl-modulelist-check-selfassigns acl2::x))
      :rule-classes ((:rewrite)))

    Theorem: vl-modulelist-check-selfassigns-of-append

    (defthm vl-modulelist-check-selfassigns-of-append
      (equal (vl-modulelist-check-selfassigns (append acl2::a acl2::b))
             (append (vl-modulelist-check-selfassigns acl2::a)
                     (vl-modulelist-check-selfassigns acl2::b)))
      :rule-classes ((:rewrite)))

    Theorem: cdr-of-vl-modulelist-check-selfassigns

    (defthm cdr-of-vl-modulelist-check-selfassigns
      (equal (cdr (vl-modulelist-check-selfassigns acl2::x))
             (vl-modulelist-check-selfassigns (cdr acl2::x)))
      :rule-classes ((:rewrite)))

    Theorem: car-of-vl-modulelist-check-selfassigns

    (defthm car-of-vl-modulelist-check-selfassigns
      (equal (car (vl-modulelist-check-selfassigns acl2::x))
             (and (consp acl2::x)
                  (vl-module-check-selfassigns (car acl2::x))))
      :rule-classes ((:rewrite)))

    Theorem: vl-modulelist-check-selfassigns-under-iff

    (defthm vl-modulelist-check-selfassigns-under-iff
      (iff (vl-modulelist-check-selfassigns acl2::x)
           (consp acl2::x))
      :rule-classes ((:rewrite)))

    Theorem: consp-of-vl-modulelist-check-selfassigns

    (defthm consp-of-vl-modulelist-check-selfassigns
      (equal (consp (vl-modulelist-check-selfassigns acl2::x))
             (consp acl2::x))
      :rule-classes ((:rewrite)))

    Theorem: len-of-vl-modulelist-check-selfassigns

    (defthm len-of-vl-modulelist-check-selfassigns
      (equal (len (vl-modulelist-check-selfassigns acl2::x))
             (len acl2::x))
      :rule-classes ((:rewrite)))

    Theorem: true-listp-of-vl-modulelist-check-selfassigns

    (defthm true-listp-of-vl-modulelist-check-selfassigns
      (true-listp (vl-modulelist-check-selfassigns acl2::x))
      :rule-classes :type-prescription)

    Theorem: vl-modulelist-check-selfassigns-when-not-consp

    (defthm vl-modulelist-check-selfassigns-when-not-consp
      (implies (not (consp acl2::x))
               (equal (vl-modulelist-check-selfassigns acl2::x)
                      nil))
      :rule-classes ((:rewrite)))

    Theorem: vl-modulelist-check-selfassigns-of-cons

    (defthm vl-modulelist-check-selfassigns-of-cons
      (equal (vl-modulelist-check-selfassigns (cons acl2::a acl2::b))
             (cons (vl-module-check-selfassigns acl2::a)
                   (vl-modulelist-check-selfassigns acl2::b)))
      :rule-classes ((:rewrite)))

    Theorem: vl-modulelist-p-of-vl-modulelist-check-selfassigns

    (defthm vl-modulelist-p-of-vl-modulelist-check-selfassigns
      (implies (force (vl-modulelist-p x))
               (vl-modulelist-p (vl-modulelist-check-selfassigns x))))