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• Vl-modulelist-p

Vl-modulelist->names

(vl-modulelist->names x) maps vl-module->name across a list.

Signature

(vl-modulelist->names x) → names

Arguments

x — Guard (vl-modulelist-p x).

Returns

names — Type (string-listp names).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-modulelist->names-exec

(defun
 vl-modulelist->names-exec (x acc)
 (declare (xargs :guard (vl-modulelist-p x)))
 (declare (xargs :guard t))
 (let
  ((__function__ 'vl-modulelist->names-exec))
  (declare (ignorable __function__))
  (if
    (consp x)
    (vl-modulelist->names-exec (cdr x)
                               (cons (vl-module->name (car x)) acc))
    acc)))

Function: vl-modulelist->names-nrev

(defun vl-modulelist->names-nrev (x nrev)
       (declare (xargs :stobjs (nrev)))
       (declare (xargs :guard (vl-modulelist-p x)))
       (declare (xargs :guard t))
       (let ((__function__ 'vl-modulelist->names-nrev))
            (declare (ignorable __function__))
            (if (atom x)
                (nrev-fix nrev)
                (let ((nrev (nrev-push (vl-module->name (car x))
                                       nrev)))
                     (vl-modulelist->names-nrev (cdr x)
                                                nrev)))))

Function: vl-modulelist->names

(defun
 vl-modulelist->names (x)
 (declare (xargs :guard (vl-modulelist-p x)))
 (declare (xargs :guard t))
 (let
   ((__function__ 'vl-modulelist->names))
   (declare (ignorable __function__))
   (mbe :logic (if (consp x)
                   (cons (vl-module->name (car x))
                         (vl-modulelist->names (cdr x)))
                   nil)
        :exec
        (if (atom x)
            nil
            (with-local-nrev (vl-modulelist->names-nrev x nrev))))))

Theorem: string-listp-of-vl-modulelist->names

(defthm string-listp-of-vl-modulelist->names
        (b* ((names (vl-modulelist->names x)))
            (string-listp names))
        :rule-classes :rewrite)

Theorem: vl-modulelist->names-of-vl-modulelist-fix-x

(defthm vl-modulelist->names-of-vl-modulelist-fix-x
        (equal (vl-modulelist->names (vl-modulelist-fix x))
               (vl-modulelist->names x)))

Theorem: vl-modulelist->names-vl-modulelist-equiv-congruence-on-x

(defthm vl-modulelist->names-vl-modulelist-equiv-congruence-on-x
        (implies (vl-modulelist-equiv x x-equiv)
                 (equal (vl-modulelist->names x)
                        (vl-modulelist->names x-equiv)))
        :rule-classes :congruence)

Theorem: vl-modulelist->names-of-update-nth

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

Theorem: vl-modulelist->names-of-revappend

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

Theorem: nthcdr-of-vl-modulelist->names

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

Theorem: nth-of-vl-modulelist->names

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

Theorem: vl-modulelist->names-nrev-removal

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

Theorem: vl-modulelist->names-exec-removal

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

Theorem: vl-modulelist->names-of-take

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

Theorem: set-equiv-congruence-over-vl-modulelist->names

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

Theorem: subsetp-of-vl-modulelist->names-when-subsetp

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

Theorem: member-of-vl-module->name-in-vl-modulelist->names

(defthm member-of-vl-module->name-in-vl-modulelist->names
        (implies (member acl2::k acl2::x)
                 (member (vl-module->name acl2::k)
                         (vl-modulelist->names acl2::x)))
        :rule-classes ((:rewrite)))

Theorem: vl-modulelist->names-of-rev

(defthm vl-modulelist->names-of-rev
        (equal (vl-modulelist->names (rev acl2::x))
               (rev (vl-modulelist->names acl2::x)))
        :rule-classes ((:rewrite)))

Theorem: vl-modulelist->names-of-list-fix

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

Theorem: vl-modulelist->names-of-append

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

Theorem: cdr-of-vl-modulelist->names

(defthm cdr-of-vl-modulelist->names
        (equal (cdr (vl-modulelist->names acl2::x))
               (vl-modulelist->names (cdr acl2::x)))
        :rule-classes ((:rewrite)))

Theorem: car-of-vl-modulelist->names

(defthm car-of-vl-modulelist->names
        (equal (car (vl-modulelist->names acl2::x))
               (and (consp acl2::x)
                    (vl-module->name (car acl2::x))))
        :rule-classes ((:rewrite)))

Theorem: vl-modulelist->names-under-iff

(defthm vl-modulelist->names-under-iff
        (iff (vl-modulelist->names acl2::x)
             (consp acl2::x))
        :rule-classes ((:rewrite)))

Theorem: consp-of-vl-modulelist->names

(defthm consp-of-vl-modulelist->names
        (equal (consp (vl-modulelist->names acl2::x))
               (consp acl2::x))
        :rule-classes ((:rewrite)))

Theorem: len-of-vl-modulelist->names

(defthm len-of-vl-modulelist->names
        (equal (len (vl-modulelist->names acl2::x))
               (len acl2::x))
        :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-modulelist->names

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

Theorem: vl-modulelist->names-when-not-consp

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

Theorem: vl-modulelist->names-of-cons

(defthm vl-modulelist->names-of-cons
        (equal (vl-modulelist->names (cons acl2::a acl2::b))
               (cons (vl-module->name acl2::a)
                     (vl-modulelist->names acl2::b)))
        :rule-classes ((:rewrite)))