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• Propagate

Vl-modulelist-propagate

(vl-modulelist-propagate x limits) maps vl-module-propagate across a list.

Signature

(vl-modulelist-propagate x limits) → new-x

Returns

new-x — Type (vl-modulelist-p new-x).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-modulelist-propagate-exec

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

Function: vl-modulelist-propagate-nrev

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

Function: vl-modulelist-propagate

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

Theorem: vl-modulelist-p-of-vl-modulelist-propagate

(defthm vl-modulelist-p-of-vl-modulelist-propagate
  (b* ((new-x (vl-modulelist-propagate x limits)))
    (vl-modulelist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-modulelist-propagate-of-update-nth

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

Theorem: vl-modulelist-propagate-of-revappend

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

Theorem: nthcdr-of-vl-modulelist-propagate

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

Theorem: nth-of-vl-modulelist-propagate

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

Theorem: vl-modulelist-propagate-nrev-removal

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

Theorem: vl-modulelist-propagate-exec-removal

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

Theorem: vl-modulelist-propagate-of-take

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

Theorem: set-equiv-congruence-over-vl-modulelist-propagate

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

Theorem: subsetp-of-vl-modulelist-propagate-when-subsetp

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

Theorem: member-of-vl-module-propagate-in-vl-modulelist-propagate

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

Theorem: vl-modulelist-propagate-of-rev

(defthm vl-modulelist-propagate-of-rev
  (equal (vl-modulelist-propagate (rev acl2::x)
                                  limits)
         (rev (vl-modulelist-propagate acl2::x limits)))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-propagate-of-list-fix

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

Theorem: vl-modulelist-propagate-of-append

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

Theorem: cdr-of-vl-modulelist-propagate

(defthm cdr-of-vl-modulelist-propagate
  (equal (cdr (vl-modulelist-propagate acl2::x limits))
         (vl-modulelist-propagate (cdr acl2::x)
                                  limits))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-modulelist-propagate

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

Theorem: vl-modulelist-propagate-under-iff

(defthm vl-modulelist-propagate-under-iff
  (iff (vl-modulelist-propagate acl2::x limits)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-modulelist-propagate

(defthm consp-of-vl-modulelist-propagate
  (equal (consp (vl-modulelist-propagate acl2::x limits))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-modulelist-propagate

(defthm len-of-vl-modulelist-propagate
  (equal (len (vl-modulelist-propagate acl2::x limits))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-modulelist-propagate

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

Theorem: vl-modulelist-propagate-when-not-consp

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

Theorem: vl-modulelist-propagate-of-cons

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