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• Vl-simplify

Vl-warn-problem-modulelist

Extend vl-warn-problem-modulelist to a list of modules.

Signature

(vl-warn-problem-modulelist x problems) → *

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-warn-problem-modulelist-exec

(defun vl-warn-problem-modulelist-exec (x problems acc)
  (declare (xargs :guard (and (vl-modulelist-p x)
                              (string-listp problems))))
  (let ((__function__ 'vl-warn-problem-modulelist-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-warn-problem-modulelist-exec
             (cdr x)
             problems
             (cons (vl-warn-problem-module (car x)
                                           problems)
                   acc))
      acc)))

Function: vl-warn-problem-modulelist-nrev

(defun vl-warn-problem-modulelist-nrev (x problems nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (and (vl-modulelist-p x)
                              (string-listp problems))))
  (let ((__function__ 'vl-warn-problem-modulelist-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (nrev-fix nrev)
      (let ((nrev (nrev-push (vl-warn-problem-module (car x)
                                                     problems)
                             nrev)))
        (vl-warn-problem-modulelist-nrev (cdr x)
                                         problems nrev)))))

Function: vl-warn-problem-modulelist

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

Theorem: vl-warn-problem-modulelist-of-update-nth

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

Theorem: vl-warn-problem-modulelist-of-revappend

(defthm vl-warn-problem-modulelist-of-revappend
  (equal (vl-warn-problem-modulelist (revappend acl2::x acl2::y)
                                     problems)
         (revappend (vl-warn-problem-modulelist acl2::x problems)
                    (vl-warn-problem-modulelist acl2::y problems)))
  :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-warn-problem-modulelist

(defthm nthcdr-of-vl-warn-problem-modulelist
  (equal (nthcdr acl2::n
                 (vl-warn-problem-modulelist acl2::x problems))
         (vl-warn-problem-modulelist (nthcdr acl2::n acl2::x)
                                     problems))
  :rule-classes ((:rewrite)))

Theorem: nth-of-vl-warn-problem-modulelist

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

Theorem: vl-warn-problem-modulelist-nrev-removal

(defthm vl-warn-problem-modulelist-nrev-removal
  (equal (vl-warn-problem-modulelist-nrev acl2::x problems nrev)
         (append nrev
                 (vl-warn-problem-modulelist acl2::x problems)))
  :rule-classes ((:rewrite)))

Theorem: vl-warn-problem-modulelist-exec-removal

(defthm vl-warn-problem-modulelist-exec-removal
 (equal (vl-warn-problem-modulelist-exec acl2::x problems acl2::acc)
        (revappend (vl-warn-problem-modulelist acl2::x problems)
                   acl2::acc))
 :rule-classes ((:rewrite)))

Theorem: vl-warn-problem-modulelist-of-take

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

Theorem: set-equiv-congruence-over-vl-warn-problem-modulelist

(defthm set-equiv-congruence-over-vl-warn-problem-modulelist
 (implies (set-equiv acl2::x acl2::y)
          (set-equiv (vl-warn-problem-modulelist acl2::x problems)
                     (vl-warn-problem-modulelist acl2::y problems)))
 :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-warn-problem-modulelist-when-subsetp

(defthm subsetp-of-vl-warn-problem-modulelist-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-warn-problem-modulelist acl2::x problems)
                    (vl-warn-problem-modulelist acl2::y problems)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-warn-problem-module-in-vl-warn-problem-modulelist

(defthm
     member-of-vl-warn-problem-module-in-vl-warn-problem-modulelist
  (implies (member acl2::k acl2::x)
           (member (vl-warn-problem-module acl2::k problems)
                   (vl-warn-problem-modulelist acl2::x problems)))
  :rule-classes ((:rewrite)))

Theorem: vl-warn-problem-modulelist-of-rev

(defthm vl-warn-problem-modulelist-of-rev
  (equal (vl-warn-problem-modulelist (rev acl2::x)
                                     problems)
         (rev (vl-warn-problem-modulelist acl2::x problems)))
  :rule-classes ((:rewrite)))

Theorem: vl-warn-problem-modulelist-of-list-fix

(defthm vl-warn-problem-modulelist-of-list-fix
  (equal (vl-warn-problem-modulelist (list-fix acl2::x)
                                     problems)
         (vl-warn-problem-modulelist acl2::x problems))
  :rule-classes ((:rewrite)))

Theorem: vl-warn-problem-modulelist-of-append

(defthm vl-warn-problem-modulelist-of-append
  (equal (vl-warn-problem-modulelist (append acl2::a acl2::b)
                                     problems)
         (append (vl-warn-problem-modulelist acl2::a problems)
                 (vl-warn-problem-modulelist acl2::b problems)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-warn-problem-modulelist

(defthm cdr-of-vl-warn-problem-modulelist
  (equal (cdr (vl-warn-problem-modulelist acl2::x problems))
         (vl-warn-problem-modulelist (cdr acl2::x)
                                     problems))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-warn-problem-modulelist

(defthm car-of-vl-warn-problem-modulelist
  (equal (car (vl-warn-problem-modulelist acl2::x problems))
         (and (consp acl2::x)
              (vl-warn-problem-module (car acl2::x)
                                      problems)))
  :rule-classes ((:rewrite)))

Theorem: vl-warn-problem-modulelist-under-iff

(defthm vl-warn-problem-modulelist-under-iff
  (iff (vl-warn-problem-modulelist acl2::x problems)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-warn-problem-modulelist

(defthm consp-of-vl-warn-problem-modulelist
  (equal (consp (vl-warn-problem-modulelist acl2::x problems))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-warn-problem-modulelist

(defthm len-of-vl-warn-problem-modulelist
  (equal (len (vl-warn-problem-modulelist acl2::x problems))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-warn-problem-modulelist

(defthm true-listp-of-vl-warn-problem-modulelist
  (true-listp (vl-warn-problem-modulelist acl2::x problems))
  :rule-classes :type-prescription)

Theorem: vl-warn-problem-modulelist-when-not-consp

(defthm vl-warn-problem-modulelist-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-warn-problem-modulelist acl2::x problems)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-warn-problem-modulelist-of-cons

(defthm vl-warn-problem-modulelist-of-cons
  (equal (vl-warn-problem-modulelist (cons acl2::a acl2::b)
                                     problems)
         (cons (vl-warn-problem-module acl2::a problems)
               (vl-warn-problem-modulelist acl2::b problems)))
  :rule-classes ((:rewrite)))