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Vl-inline-rename-portdecls

Rename portdecls using the renaming alist (which binds old names to their new, mangled names).

Signature

(vl-inline-rename-portdecls x alist) → *

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-inline-rename-portdecls-exec

(defun vl-inline-rename-portdecls-exec (x alist acc)
  (declare (xargs :guard (and (vl-portdecllist-p x)
                              (vl-renaming-alist-p alist))))
  (let ((__function__ 'vl-inline-rename-portdecls-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-inline-rename-portdecls-exec
             (cdr x)
             alist
             (cons (vl-inline-rename-portdecl (car x)
                                              alist)
                   acc))
      acc)))

Function: vl-inline-rename-portdecls-nrev

(defun vl-inline-rename-portdecls-nrev (x alist nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (and (vl-portdecllist-p x)
                              (vl-renaming-alist-p alist))))
  (let ((__function__ 'vl-inline-rename-portdecls-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (nrev-fix nrev)
      (let ((nrev (nrev-push (vl-inline-rename-portdecl (car x)
                                                        alist)
                             nrev)))
        (vl-inline-rename-portdecls-nrev (cdr x)
                                         alist nrev)))))

Function: vl-inline-rename-portdecls

(defun vl-inline-rename-portdecls (x alist)
  (declare (xargs :guard (and (vl-portdecllist-p x)
                              (vl-renaming-alist-p alist))))
  (let ((__function__ 'vl-inline-rename-portdecls))
    (declare (ignorable __function__))
    (mbe :logic
         (if (consp x)
             (cons (vl-inline-rename-portdecl (car x)
                                              alist)
                   (vl-inline-rename-portdecls (cdr x)
                                               alist))
           nil)
         :exec
         (if (atom x)
             nil
           (with-local-nrev
                (vl-inline-rename-portdecls-nrev x alist nrev))))))

Theorem: vl-inline-rename-portdecls-of-update-nth

(defthm vl-inline-rename-portdecls-of-update-nth
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
    (vl-inline-rename-portdecls (update-nth acl2::n acl2::v acl2::x)
                                alist)
    (update-nth acl2::n
                (vl-inline-rename-portdecl acl2::v alist)
                (vl-inline-rename-portdecls acl2::x alist))))
 :rule-classes ((:rewrite)))

Theorem: vl-inline-rename-portdecls-of-revappend

(defthm vl-inline-rename-portdecls-of-revappend
  (equal (vl-inline-rename-portdecls (revappend acl2::x acl2::y)
                                     alist)
         (revappend (vl-inline-rename-portdecls acl2::x alist)
                    (vl-inline-rename-portdecls acl2::y alist)))
  :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-inline-rename-portdecls

(defthm nthcdr-of-vl-inline-rename-portdecls
  (equal (nthcdr acl2::n
                 (vl-inline-rename-portdecls acl2::x alist))
         (vl-inline-rename-portdecls (nthcdr acl2::n acl2::x)
                                     alist))
  :rule-classes ((:rewrite)))

Theorem: nth-of-vl-inline-rename-portdecls

(defthm nth-of-vl-inline-rename-portdecls
  (equal (nth acl2::n
              (vl-inline-rename-portdecls acl2::x alist))
         (and (< (nfix acl2::n) (len acl2::x))
              (vl-inline-rename-portdecl (nth acl2::n acl2::x)
                                         alist)))
  :rule-classes ((:rewrite)))

Theorem: vl-inline-rename-portdecls-nrev-removal

(defthm vl-inline-rename-portdecls-nrev-removal
  (equal (vl-inline-rename-portdecls-nrev acl2::x alist nrev)
         (append nrev
                 (vl-inline-rename-portdecls acl2::x alist)))
  :rule-classes ((:rewrite)))

Theorem: vl-inline-rename-portdecls-exec-removal

(defthm vl-inline-rename-portdecls-exec-removal
  (equal (vl-inline-rename-portdecls-exec acl2::x alist acl2::acc)
         (revappend (vl-inline-rename-portdecls acl2::x alist)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: vl-inline-rename-portdecls-of-take

(defthm vl-inline-rename-portdecls-of-take
 (implies (<= (nfix acl2::n) (len acl2::x))
          (equal (vl-inline-rename-portdecls (take acl2::n acl2::x)
                                             alist)
                 (take acl2::n
                       (vl-inline-rename-portdecls acl2::x alist))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-inline-rename-portdecls

(defthm set-equiv-congruence-over-vl-inline-rename-portdecls
  (implies (set-equiv acl2::x acl2::y)
           (set-equiv (vl-inline-rename-portdecls acl2::x alist)
                      (vl-inline-rename-portdecls acl2::y alist)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-inline-rename-portdecls-when-subsetp

(defthm subsetp-of-vl-inline-rename-portdecls-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-inline-rename-portdecls acl2::x alist)
                    (vl-inline-rename-portdecls acl2::y alist)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-inline-rename-portdecl-in-vl-inline-rename-portdecls

(defthm
  member-of-vl-inline-rename-portdecl-in-vl-inline-rename-portdecls
  (implies (member acl2::k acl2::x)
           (member (vl-inline-rename-portdecl acl2::k alist)
                   (vl-inline-rename-portdecls acl2::x alist)))
  :rule-classes ((:rewrite)))

Theorem: vl-inline-rename-portdecls-of-rev

(defthm vl-inline-rename-portdecls-of-rev
  (equal (vl-inline-rename-portdecls (rev acl2::x)
                                     alist)
         (rev (vl-inline-rename-portdecls acl2::x alist)))
  :rule-classes ((:rewrite)))

Theorem: vl-inline-rename-portdecls-of-list-fix

(defthm vl-inline-rename-portdecls-of-list-fix
  (equal (vl-inline-rename-portdecls (list-fix acl2::x)
                                     alist)
         (vl-inline-rename-portdecls acl2::x alist))
  :rule-classes ((:rewrite)))

Theorem: vl-inline-rename-portdecls-of-append

(defthm vl-inline-rename-portdecls-of-append
  (equal (vl-inline-rename-portdecls (append acl2::a acl2::b)
                                     alist)
         (append (vl-inline-rename-portdecls acl2::a alist)
                 (vl-inline-rename-portdecls acl2::b alist)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-inline-rename-portdecls

(defthm cdr-of-vl-inline-rename-portdecls
  (equal (cdr (vl-inline-rename-portdecls acl2::x alist))
         (vl-inline-rename-portdecls (cdr acl2::x)
                                     alist))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-inline-rename-portdecls

(defthm car-of-vl-inline-rename-portdecls
  (equal (car (vl-inline-rename-portdecls acl2::x alist))
         (and (consp acl2::x)
              (vl-inline-rename-portdecl (car acl2::x)
                                         alist)))
  :rule-classes ((:rewrite)))

Theorem: vl-inline-rename-portdecls-under-iff

(defthm vl-inline-rename-portdecls-under-iff
  (iff (vl-inline-rename-portdecls acl2::x alist)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-inline-rename-portdecls

(defthm consp-of-vl-inline-rename-portdecls
  (equal (consp (vl-inline-rename-portdecls acl2::x alist))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-inline-rename-portdecls

(defthm len-of-vl-inline-rename-portdecls
  (equal (len (vl-inline-rename-portdecls acl2::x alist))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-inline-rename-portdecls

(defthm true-listp-of-vl-inline-rename-portdecls
  (true-listp (vl-inline-rename-portdecls acl2::x alist))
  :rule-classes :type-prescription)

Theorem: vl-inline-rename-portdecls-when-not-consp

(defthm vl-inline-rename-portdecls-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-inline-rename-portdecls acl2::x alist)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-inline-rename-portdecls-of-cons

(defthm vl-inline-rename-portdecls-of-cons
  (equal (vl-inline-rename-portdecls (cons acl2::a acl2::b)
                                     alist)
         (cons (vl-inline-rename-portdecl acl2::a alist)
               (vl-inline-rename-portdecls acl2::b alist)))
  :rule-classes ((:rewrite)))

Theorem: vl-portdecllist-p-of-vl-inline-rename-portdecls

(defthm vl-portdecllist-p-of-vl-inline-rename-portdecls
 (implies (force (and (vl-portdecllist-p x)
                      (vl-renaming-alist-p alist)))
          (vl-portdecllist-p (vl-inline-rename-portdecls x alist))))