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• Drop-user-submodules

Vl-modulelist-drop-user-submodules-aux

(vl-modulelist-drop-user-submodules-aux x names fal) maps vl-module-drop-user-submodules across a list.

Signature

(vl-modulelist-drop-user-submodules-aux x names fal) → new-x

Arguments

x — Guard (vl-modulelist-p x).

names — Guard (string-listp names).

fal — Guard (equal fal (make-lookup-alist names)).

Returns

new-x — Type (vl-modulelist-p new-x).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-modulelist-drop-user-submodules-aux-exec

(defun vl-modulelist-drop-user-submodules-aux-exec (x names fal acc)
  (declare
       (xargs :guard (and (vl-modulelist-p x)
                          (string-listp names)
                          (equal fal (make-lookup-alist names)))))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-modulelist-drop-user-submodules-aux-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-modulelist-drop-user-submodules-aux-exec
             (cdr x)
             names fal
             (cons (vl-module-drop-user-submodules (car x)
                                                   names fal)
                   acc))
      acc)))

Function: vl-modulelist-drop-user-submodules-aux-nrev

(defun vl-modulelist-drop-user-submodules-aux-nrev
       (x names fal nrev)
 (declare (xargs :stobjs (nrev)))
 (declare
      (xargs :guard (and (vl-modulelist-p x)
                         (string-listp names)
                         (equal fal (make-lookup-alist names)))))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-modulelist-drop-user-submodules-aux-nrev))
  (declare (ignorable __function__))
  (if (atom x)
      (nrev-fix nrev)
   (let ((nrev (nrev-push (vl-module-drop-user-submodules (car x)
                                                          names fal)
                          nrev)))
    (vl-modulelist-drop-user-submodules-aux-nrev (cdr x)
                                                 names fal nrev)))))

Function: vl-modulelist-drop-user-submodules-aux

(defun vl-modulelist-drop-user-submodules-aux (x names fal)
 (declare
      (xargs :guard (and (vl-modulelist-p x)
                         (string-listp names)
                         (equal fal (make-lookup-alist names)))))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-modulelist-drop-user-submodules-aux))
  (declare (ignorable __function__))
  (mbe :logic
       (if (consp x)
           (cons (vl-module-drop-user-submodules (car x)
                                                 names fal)
                 (vl-modulelist-drop-user-submodules-aux (cdr x)
                                                         names fal))
         nil)
       :exec
       (if (atom x)
           nil
         (with-local-nrev (vl-modulelist-drop-user-submodules-aux-nrev
                               x names fal nrev))))))

Theorem: vl-modulelist-p-of-vl-modulelist-drop-user-submodules-aux

(defthm vl-modulelist-p-of-vl-modulelist-drop-user-submodules-aux
  (b* ((new-x (vl-modulelist-drop-user-submodules-aux x names fal)))
    (vl-modulelist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-modulelist-drop-user-submodules-aux-of-vl-modulelist-fix-x

(defthm
      vl-modulelist-drop-user-submodules-aux-of-vl-modulelist-fix-x
  (equal
       (vl-modulelist-drop-user-submodules-aux (vl-modulelist-fix x)
                                               names fal)
       (vl-modulelist-drop-user-submodules-aux x names fal)))

Theorem: vl-modulelist-drop-user-submodules-aux-vl-modulelist-equiv-congruence-on-x

(defthm
 vl-modulelist-drop-user-submodules-aux-vl-modulelist-equiv-congruence-on-x
 (implies
   (vl-modulelist-equiv x x-equiv)
   (equal
        (vl-modulelist-drop-user-submodules-aux x names fal)
        (vl-modulelist-drop-user-submodules-aux x-equiv names fal)))
 :rule-classes :congruence)

Theorem: vl-modulelist-drop-user-submodules-aux-of-string-list-fix-names

(defthm
    vl-modulelist-drop-user-submodules-aux-of-string-list-fix-names
 (equal
   (vl-modulelist-drop-user-submodules-aux x (string-list-fix names)
                                           fal)
   (vl-modulelist-drop-user-submodules-aux x names fal)))

Theorem: vl-modulelist-drop-user-submodules-aux-string-list-equiv-congruence-on-names

(defthm
 vl-modulelist-drop-user-submodules-aux-string-list-equiv-congruence-on-names
 (implies
   (str::string-list-equiv names names-equiv)
   (equal
        (vl-modulelist-drop-user-submodules-aux x names fal)
        (vl-modulelist-drop-user-submodules-aux x names-equiv fal)))
 :rule-classes :congruence)

Theorem: vl-modulelist-drop-user-submodules-aux-of-update-nth

(defthm vl-modulelist-drop-user-submodules-aux-of-update-nth
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
   (vl-modulelist-drop-user-submodules-aux
        (update-nth acl2::n acl2::v acl2::x)
        names fal)
   (update-nth
       acl2::n
       (vl-module-drop-user-submodules acl2::v names fal)
       (vl-modulelist-drop-user-submodules-aux acl2::x names fal))))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-user-submodules-aux-of-revappend

(defthm vl-modulelist-drop-user-submodules-aux-of-revappend
 (equal
   (vl-modulelist-drop-user-submodules-aux
        (revappend acl2::x acl2::y)
        names fal)
   (revappend
        (vl-modulelist-drop-user-submodules-aux acl2::x names fal)
        (vl-modulelist-drop-user-submodules-aux acl2::y names fal)))
 :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-modulelist-drop-user-submodules-aux

(defthm nthcdr-of-vl-modulelist-drop-user-submodules-aux
 (equal
    (nthcdr
         acl2::n
         (vl-modulelist-drop-user-submodules-aux acl2::x names fal))
    (vl-modulelist-drop-user-submodules-aux (nthcdr acl2::n acl2::x)
                                            names fal))
 :rule-classes ((:rewrite)))

Theorem: nth-of-vl-modulelist-drop-user-submodules-aux

(defthm nth-of-vl-modulelist-drop-user-submodules-aux
 (equal
    (nth acl2::n
         (vl-modulelist-drop-user-submodules-aux acl2::x names fal))
    (and (< (nfix acl2::n) (len acl2::x))
         (vl-module-drop-user-submodules (nth acl2::n acl2::x)
                                         names fal)))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-user-submodules-aux-of-take

(defthm vl-modulelist-drop-user-submodules-aux-of-take
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
   (vl-modulelist-drop-user-submodules-aux (take acl2::n acl2::x)
                                           names fal)
   (take
       acl2::n
       (vl-modulelist-drop-user-submodules-aux acl2::x names fal))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-modulelist-drop-user-submodules-aux

(defthm
   set-equiv-congruence-over-vl-modulelist-drop-user-submodules-aux
 (implies
   (set-equiv acl2::x acl2::y)
   (set-equiv
        (vl-modulelist-drop-user-submodules-aux acl2::x names fal)
        (vl-modulelist-drop-user-submodules-aux acl2::y names fal)))
 :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-modulelist-drop-user-submodules-aux-when-subsetp

(defthm
     subsetp-of-vl-modulelist-drop-user-submodules-aux-when-subsetp
 (implies
   (subsetp acl2::x acl2::y)
   (subsetp
        (vl-modulelist-drop-user-submodules-aux acl2::x names fal)
        (vl-modulelist-drop-user-submodules-aux acl2::y names fal)))
 :rule-classes ((:rewrite)))

Theorem: member-of-vl-module-drop-user-submodules-in-vl-modulelist-drop-user-submodules-aux

(defthm
 member-of-vl-module-drop-user-submodules-in-vl-modulelist-drop-user-submodules-aux
 (implies
   (member acl2::k acl2::x)
   (member
        (vl-module-drop-user-submodules acl2::k names fal)
        (vl-modulelist-drop-user-submodules-aux acl2::x names fal)))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-user-submodules-aux-nrev-removal

(defthm vl-modulelist-drop-user-submodules-aux-nrev-removal
 (equal
   (vl-modulelist-drop-user-submodules-aux-nrev
        acl2::x names fal nrev)
   (append
        nrev
        (vl-modulelist-drop-user-submodules-aux acl2::x names fal)))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-user-submodules-aux-exec-removal

(defthm vl-modulelist-drop-user-submodules-aux-exec-removal
 (equal
     (vl-modulelist-drop-user-submodules-aux-exec
          acl2::x names fal acl2::acc)
     (revappend
          (vl-modulelist-drop-user-submodules-aux acl2::x names fal)
          acl2::acc))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-user-submodules-aux-of-rev

(defthm vl-modulelist-drop-user-submodules-aux-of-rev
 (equal
   (vl-modulelist-drop-user-submodules-aux (rev acl2::x)
                                           names fal)
   (rev (vl-modulelist-drop-user-submodules-aux acl2::x names fal)))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-user-submodules-aux-of-list-fix

(defthm vl-modulelist-drop-user-submodules-aux-of-list-fix
  (equal (vl-modulelist-drop-user-submodules-aux (list-fix acl2::x)
                                                 names fal)
         (vl-modulelist-drop-user-submodules-aux acl2::x names fal))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-user-submodules-aux-of-append

(defthm vl-modulelist-drop-user-submodules-aux-of-append
 (equal
   (vl-modulelist-drop-user-submodules-aux (append acl2::a acl2::b)
                                           names fal)
   (append
        (vl-modulelist-drop-user-submodules-aux acl2::a names fal)
        (vl-modulelist-drop-user-submodules-aux acl2::b names fal)))
 :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-modulelist-drop-user-submodules-aux

(defthm cdr-of-vl-modulelist-drop-user-submodules-aux
 (equal
    (cdr (vl-modulelist-drop-user-submodules-aux acl2::x names fal))
    (vl-modulelist-drop-user-submodules-aux (cdr acl2::x)
                                            names fal))
 :rule-classes ((:rewrite)))

Theorem: car-of-vl-modulelist-drop-user-submodules-aux

(defthm car-of-vl-modulelist-drop-user-submodules-aux
 (equal
    (car (vl-modulelist-drop-user-submodules-aux acl2::x names fal))
    (and (consp acl2::x)
         (vl-module-drop-user-submodules (car acl2::x)
                                         names fal)))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-user-submodules-aux-under-iff

(defthm vl-modulelist-drop-user-submodules-aux-under-iff
  (iff (vl-modulelist-drop-user-submodules-aux acl2::x names fal)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-modulelist-drop-user-submodules-aux

(defthm consp-of-vl-modulelist-drop-user-submodules-aux
 (equal
  (consp (vl-modulelist-drop-user-submodules-aux acl2::x names fal))
  (consp acl2::x))
 :rule-classes ((:rewrite)))

Theorem: len-of-vl-modulelist-drop-user-submodules-aux

(defthm len-of-vl-modulelist-drop-user-submodules-aux
 (equal
    (len (vl-modulelist-drop-user-submodules-aux acl2::x names fal))
    (len acl2::x))
 :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-modulelist-drop-user-submodules-aux

(defthm true-listp-of-vl-modulelist-drop-user-submodules-aux
  (true-listp
       (vl-modulelist-drop-user-submodules-aux acl2::x names fal))
  :rule-classes :type-prescription)

Theorem: vl-modulelist-drop-user-submodules-aux-when-not-consp

(defthm vl-modulelist-drop-user-submodules-aux-when-not-consp
 (implies
   (not (consp acl2::x))
   (equal (vl-modulelist-drop-user-submodules-aux acl2::x names fal)
          nil))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-user-submodules-aux-of-cons

(defthm vl-modulelist-drop-user-submodules-aux-of-cons
 (equal
  (vl-modulelist-drop-user-submodules-aux (cons acl2::a acl2::b)
                                          names fal)
  (cons (vl-module-drop-user-submodules acl2::a names fal)
        (vl-modulelist-drop-user-submodules-aux acl2::b names fal)))
 :rule-classes ((:rewrite)))