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• Udp-elim

Vl-udp-vardecls-from-portdecls

(vl-udp-vardecls-from-portdecls x) maps vl-udp-vardecl-from-portdecl across a list.

Signature

(vl-udp-vardecls-from-portdecls x) → vardecls

Arguments

x — Guard (vl-portdecllist-p x).

Returns

vardecls — Type (vl-vardecllist-p vardecls).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-udp-vardecls-from-portdecls-exec

(defun vl-udp-vardecls-from-portdecls-exec (x acc)
  (declare (xargs :guard (vl-portdecllist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-udp-vardecls-from-portdecls-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-udp-vardecls-from-portdecls-exec
             (cdr x)
             (cons (vl-udp-vardecl-from-portdecl (car x))
                   acc))
      acc)))

Function: vl-udp-vardecls-from-portdecls-nrev

(defun vl-udp-vardecls-from-portdecls-nrev (x nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (vl-portdecllist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-udp-vardecls-from-portdecls-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (nrev-fix nrev)
      (let ((nrev (nrev-push (vl-udp-vardecl-from-portdecl (car x))
                             nrev)))
        (vl-udp-vardecls-from-portdecls-nrev (cdr x)
                                             nrev)))))

Function: vl-udp-vardecls-from-portdecls

(defun vl-udp-vardecls-from-portdecls (x)
  (declare (xargs :guard (vl-portdecllist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-udp-vardecls-from-portdecls))
    (declare (ignorable __function__))
    (mbe :logic
         (if (consp x)
             (cons (vl-udp-vardecl-from-portdecl (car x))
                   (vl-udp-vardecls-from-portdecls (cdr x)))
           nil)
         :exec
         (if (atom x)
             nil
           (with-local-nrev
                (vl-udp-vardecls-from-portdecls-nrev x nrev))))))

Theorem: vl-vardecllist-p-of-vl-udp-vardecls-from-portdecls

(defthm vl-vardecllist-p-of-vl-udp-vardecls-from-portdecls
  (b* ((vardecls (vl-udp-vardecls-from-portdecls x)))
    (vl-vardecllist-p vardecls))
  :rule-classes :rewrite)

Theorem: vl-udp-vardecls-from-portdecls-of-update-nth

(defthm vl-udp-vardecls-from-portdecls-of-update-nth
 (implies
      (<= (nfix acl2::n) (len acl2::x))
      (equal (vl-udp-vardecls-from-portdecls
                  (update-nth acl2::n acl2::v acl2::x))
             (update-nth acl2::n
                         (vl-udp-vardecl-from-portdecl acl2::v)
                         (vl-udp-vardecls-from-portdecls acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: vl-udp-vardecls-from-portdecls-of-revappend

(defthm vl-udp-vardecls-from-portdecls-of-revappend
 (equal (vl-udp-vardecls-from-portdecls (revappend acl2::x acl2::y))
        (revappend (vl-udp-vardecls-from-portdecls acl2::x)
                   (vl-udp-vardecls-from-portdecls acl2::y)))
 :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-udp-vardecls-from-portdecls

(defthm nthcdr-of-vl-udp-vardecls-from-portdecls
  (equal (nthcdr acl2::n
                 (vl-udp-vardecls-from-portdecls acl2::x))
         (vl-udp-vardecls-from-portdecls (nthcdr acl2::n acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: nth-of-vl-udp-vardecls-from-portdecls

(defthm nth-of-vl-udp-vardecls-from-portdecls
  (equal (nth acl2::n
              (vl-udp-vardecls-from-portdecls acl2::x))
         (and (< (nfix acl2::n) (len acl2::x))
              (vl-udp-vardecl-from-portdecl (nth acl2::n acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-udp-vardecls-from-portdecls-of-take

(defthm vl-udp-vardecls-from-portdecls-of-take
 (implies
      (<= (nfix acl2::n) (len acl2::x))
      (equal (vl-udp-vardecls-from-portdecls (take acl2::n acl2::x))
             (take acl2::n
                   (vl-udp-vardecls-from-portdecls acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-udp-vardecls-from-portdecls

(defthm set-equiv-congruence-over-vl-udp-vardecls-from-portdecls
  (implies (set-equiv acl2::x acl2::y)
           (set-equiv (vl-udp-vardecls-from-portdecls acl2::x)
                      (vl-udp-vardecls-from-portdecls acl2::y)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-udp-vardecls-from-portdecls-when-subsetp

(defthm subsetp-of-vl-udp-vardecls-from-portdecls-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-udp-vardecls-from-portdecls acl2::x)
                    (vl-udp-vardecls-from-portdecls acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-udp-vardecl-from-portdecl-in-vl-udp-vardecls-from-portdecls

(defthm
 member-of-vl-udp-vardecl-from-portdecl-in-vl-udp-vardecls-from-portdecls
 (implies (member acl2::k acl2::x)
          (member (vl-udp-vardecl-from-portdecl acl2::k)
                  (vl-udp-vardecls-from-portdecls acl2::x)))
 :rule-classes ((:rewrite)))

Theorem: vl-udp-vardecls-from-portdecls-nrev-removal

(defthm vl-udp-vardecls-from-portdecls-nrev-removal
  (equal (vl-udp-vardecls-from-portdecls-nrev acl2::x nrev)
         (append nrev
                 (vl-udp-vardecls-from-portdecls acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-udp-vardecls-from-portdecls-exec-removal

(defthm vl-udp-vardecls-from-portdecls-exec-removal
  (equal (vl-udp-vardecls-from-portdecls-exec acl2::x acl2::acc)
         (revappend (vl-udp-vardecls-from-portdecls acl2::x)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: vl-udp-vardecls-from-portdecls-of-rev

(defthm vl-udp-vardecls-from-portdecls-of-rev
  (equal (vl-udp-vardecls-from-portdecls (rev acl2::x))
         (rev (vl-udp-vardecls-from-portdecls acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-udp-vardecls-from-portdecls-of-list-fix

(defthm vl-udp-vardecls-from-portdecls-of-list-fix
  (equal (vl-udp-vardecls-from-portdecls (list-fix acl2::x))
         (vl-udp-vardecls-from-portdecls acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-udp-vardecls-from-portdecls-of-append

(defthm vl-udp-vardecls-from-portdecls-of-append
  (equal (vl-udp-vardecls-from-portdecls (append acl2::a acl2::b))
         (append (vl-udp-vardecls-from-portdecls acl2::a)
                 (vl-udp-vardecls-from-portdecls acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-udp-vardecls-from-portdecls

(defthm cdr-of-vl-udp-vardecls-from-portdecls
  (equal (cdr (vl-udp-vardecls-from-portdecls acl2::x))
         (vl-udp-vardecls-from-portdecls (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-udp-vardecls-from-portdecls

(defthm car-of-vl-udp-vardecls-from-portdecls
  (equal (car (vl-udp-vardecls-from-portdecls acl2::x))
         (and (consp acl2::x)
              (vl-udp-vardecl-from-portdecl (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-udp-vardecls-from-portdecls-under-iff

(defthm vl-udp-vardecls-from-portdecls-under-iff
  (iff (vl-udp-vardecls-from-portdecls acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-udp-vardecls-from-portdecls

(defthm consp-of-vl-udp-vardecls-from-portdecls
  (equal (consp (vl-udp-vardecls-from-portdecls acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-udp-vardecls-from-portdecls

(defthm len-of-vl-udp-vardecls-from-portdecls
  (equal (len (vl-udp-vardecls-from-portdecls acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-udp-vardecls-from-portdecls

(defthm true-listp-of-vl-udp-vardecls-from-portdecls
  (true-listp (vl-udp-vardecls-from-portdecls acl2::x))
  :rule-classes :type-prescription)

Theorem: vl-udp-vardecls-from-portdecls-when-not-consp

(defthm vl-udp-vardecls-from-portdecls-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-udp-vardecls-from-portdecls acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-udp-vardecls-from-portdecls-of-cons

(defthm vl-udp-vardecls-from-portdecls-of-cons
  (equal (vl-udp-vardecls-from-portdecls (cons acl2::a acl2::b))
         (cons (vl-udp-vardecl-from-portdecl acl2::a)
               (vl-udp-vardecls-from-portdecls acl2::b)))
  :rule-classes ((:rewrite)))