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Vl-make-idexpr-list

(vl-make-idexpr-list x finalwidth finaltype) maps vl-idexpr across a list.

Signature

(vl-make-idexpr-list x finalwidth finaltype) → exprs

Arguments

x — Guard (string-listp x).

finalwidth — Guard (maybe-natp finalwidth).

finaltype — Guard (vl-maybe-exprtype-p finaltype).

Returns

exprs — Type (and (vl-exprlist-p exprs) (vl-idexprlist-p exprs)).

Each expression is given the specified finalwidth and finaltype.

Definitions and Theorems

Function: vl-make-idexpr-list-exec

(defun vl-make-idexpr-list-exec (x finalwidth finaltype acc)
  (declare (xargs :guard (and (string-listp x)
                              (maybe-natp finalwidth)
                              (vl-maybe-exprtype-p finaltype))))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-make-idexpr-list-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-make-idexpr-list-exec
             (cdr x)
             finalwidth finaltype
             (cons (vl-idexpr (car x) finalwidth finaltype)
                   acc))
      acc)))

Function: vl-make-idexpr-list-nrev

(defun vl-make-idexpr-list-nrev (x finalwidth finaltype nrev)
 (declare (xargs :stobjs (nrev)))
 (declare (xargs :guard (and (string-listp x)
                             (maybe-natp finalwidth)
                             (vl-maybe-exprtype-p finaltype))))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-make-idexpr-list-nrev))
   (declare (ignorable __function__))
   (if (atom x)
       (nrev-fix nrev)
     (let ((nrev (nrev-push (vl-idexpr (car x) finalwidth finaltype)
                            nrev)))
       (vl-make-idexpr-list-nrev (cdr x)
                                 finalwidth finaltype nrev)))))

Function: vl-make-idexpr-list

(defun vl-make-idexpr-list (x finalwidth finaltype)
 (declare (xargs :guard (and (string-listp x)
                             (maybe-natp finalwidth)
                             (vl-maybe-exprtype-p finaltype))))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-make-idexpr-list))
  (declare (ignorable __function__))
  (mbe
   :logic
   (if (consp x)
       (cons (vl-idexpr (car x) finalwidth finaltype)
             (vl-make-idexpr-list (cdr x)
                                  finalwidth finaltype))
     nil)
   :exec
   (if (atom x)
       nil
    (with-local-nrev
         (vl-make-idexpr-list-nrev x finalwidth finaltype nrev))))))

Theorem: return-type-of-vl-make-idexpr-list

(defthm return-type-of-vl-make-idexpr-list
  (b* ((exprs (vl-make-idexpr-list x finalwidth finaltype)))
    (and (vl-exprlist-p exprs)
         (vl-idexprlist-p exprs)))
  :rule-classes :rewrite)

Theorem: vl-make-idexpr-list-of-string-list-fix-x

(defthm vl-make-idexpr-list-of-string-list-fix-x
  (equal (vl-make-idexpr-list (string-list-fix x)
                              finalwidth finaltype)
         (vl-make-idexpr-list x finalwidth finaltype)))

Theorem: vl-make-idexpr-list-string-list-equiv-congruence-on-x

(defthm vl-make-idexpr-list-string-list-equiv-congruence-on-x
  (implies
       (str::string-list-equiv x x-equiv)
       (equal (vl-make-idexpr-list x finalwidth finaltype)
              (vl-make-idexpr-list x-equiv finalwidth finaltype)))
  :rule-classes :congruence)

Theorem: vl-make-idexpr-list-of-maybe-natp-fix-finalwidth

(defthm vl-make-idexpr-list-of-maybe-natp-fix-finalwidth
  (equal (vl-make-idexpr-list x (maybe-natp-fix finalwidth)
                              finaltype)
         (vl-make-idexpr-list x finalwidth finaltype)))

Theorem: vl-make-idexpr-list-maybe-nat-equiv-congruence-on-finalwidth

(defthm vl-make-idexpr-list-maybe-nat-equiv-congruence-on-finalwidth
  (implies
       (acl2::maybe-nat-equiv finalwidth finalwidth-equiv)
       (equal (vl-make-idexpr-list x finalwidth finaltype)
              (vl-make-idexpr-list x finalwidth-equiv finaltype)))
  :rule-classes :congruence)

Theorem: vl-make-idexpr-list-of-vl-maybe-exprtype-fix-finaltype

(defthm vl-make-idexpr-list-of-vl-maybe-exprtype-fix-finaltype
  (equal (vl-make-idexpr-list x finalwidth
                              (vl-maybe-exprtype-fix finaltype))
         (vl-make-idexpr-list x finalwidth finaltype)))

Theorem: vl-make-idexpr-list-vl-maybe-exprtype-equiv-congruence-on-finaltype

(defthm
 vl-make-idexpr-list-vl-maybe-exprtype-equiv-congruence-on-finaltype
 (implies
      (vl-maybe-exprtype-equiv finaltype finaltype-equiv)
      (equal (vl-make-idexpr-list x finalwidth finaltype)
             (vl-make-idexpr-list x finalwidth finaltype-equiv)))
 :rule-classes :congruence)

Theorem: vl-make-idexpr-list-of-update-nth

(defthm vl-make-idexpr-list-of-update-nth
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
   (vl-make-idexpr-list (update-nth acl2::n acl2::v acl2::x)
                        finalwidth finaltype)
   (update-nth acl2::n
               (vl-idexpr acl2::v finalwidth finaltype)
               (vl-make-idexpr-list acl2::x finalwidth finaltype))))
 :rule-classes ((:rewrite)))

Theorem: vl-make-idexpr-list-of-revappend

(defthm vl-make-idexpr-list-of-revappend
 (equal
     (vl-make-idexpr-list (revappend acl2::x acl2::y)
                          finalwidth finaltype)
     (revappend (vl-make-idexpr-list acl2::x finalwidth finaltype)
                (vl-make-idexpr-list acl2::y finalwidth finaltype)))
 :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-make-idexpr-list

(defthm nthcdr-of-vl-make-idexpr-list
  (equal (nthcdr acl2::n
                 (vl-make-idexpr-list acl2::x finalwidth finaltype))
         (vl-make-idexpr-list (nthcdr acl2::n acl2::x)
                              finalwidth finaltype))
  :rule-classes ((:rewrite)))

Theorem: nth-of-vl-make-idexpr-list

(defthm nth-of-vl-make-idexpr-list
  (equal (nth acl2::n
              (vl-make-idexpr-list acl2::x finalwidth finaltype))
         (and (< (nfix acl2::n) (len acl2::x))
              (vl-idexpr (nth acl2::n acl2::x)
                         finalwidth finaltype)))
  :rule-classes ((:rewrite)))

Theorem: vl-make-idexpr-list-nrev-removal

(defthm vl-make-idexpr-list-nrev-removal
 (equal (vl-make-idexpr-list-nrev acl2::x finalwidth finaltype nrev)
        (append nrev
                (vl-make-idexpr-list acl2::x finalwidth finaltype)))
 :rule-classes ((:rewrite)))

Theorem: vl-make-idexpr-list-exec-removal

(defthm vl-make-idexpr-list-exec-removal
 (equal
   (vl-make-idexpr-list-exec acl2::x finalwidth finaltype acl2::acc)
   (revappend (vl-make-idexpr-list acl2::x finalwidth finaltype)
              acl2::acc))
 :rule-classes ((:rewrite)))

Theorem: vl-make-idexpr-list-of-take

(defthm vl-make-idexpr-list-of-take
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal (vl-make-idexpr-list (take acl2::n acl2::x)
                              finalwidth finaltype)
         (take acl2::n
               (vl-make-idexpr-list acl2::x finalwidth finaltype))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-make-idexpr-list

(defthm set-equiv-congruence-over-vl-make-idexpr-list
 (implies
     (set-equiv acl2::x acl2::y)
     (set-equiv (vl-make-idexpr-list acl2::x finalwidth finaltype)
                (vl-make-idexpr-list acl2::y finalwidth finaltype)))
 :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-make-idexpr-list-when-subsetp

(defthm subsetp-of-vl-make-idexpr-list-when-subsetp
  (implies
       (subsetp acl2::x acl2::y)
       (subsetp (vl-make-idexpr-list acl2::x finalwidth finaltype)
                (vl-make-idexpr-list acl2::y finalwidth finaltype)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-idexpr-in-vl-make-idexpr-list

(defthm member-of-vl-idexpr-in-vl-make-idexpr-list
  (implies
       (member acl2::k acl2::x)
       (member (vl-idexpr acl2::k finalwidth finaltype)
               (vl-make-idexpr-list acl2::x finalwidth finaltype)))
  :rule-classes ((:rewrite)))

Theorem: vl-make-idexpr-list-of-rev

(defthm vl-make-idexpr-list-of-rev
  (equal (vl-make-idexpr-list (rev acl2::x)
                              finalwidth finaltype)
         (rev (vl-make-idexpr-list acl2::x finalwidth finaltype)))
  :rule-classes ((:rewrite)))

Theorem: vl-make-idexpr-list-of-list-fix

(defthm vl-make-idexpr-list-of-list-fix
  (equal (vl-make-idexpr-list (list-fix acl2::x)
                              finalwidth finaltype)
         (vl-make-idexpr-list acl2::x finalwidth finaltype))
  :rule-classes ((:rewrite)))

Theorem: vl-make-idexpr-list-of-append

(defthm vl-make-idexpr-list-of-append
 (equal (vl-make-idexpr-list (append acl2::a acl2::b)
                             finalwidth finaltype)
        (append (vl-make-idexpr-list acl2::a finalwidth finaltype)
                (vl-make-idexpr-list acl2::b finalwidth finaltype)))
 :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-make-idexpr-list

(defthm cdr-of-vl-make-idexpr-list
  (equal (cdr (vl-make-idexpr-list acl2::x finalwidth finaltype))
         (vl-make-idexpr-list (cdr acl2::x)
                              finalwidth finaltype))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-make-idexpr-list

(defthm car-of-vl-make-idexpr-list
  (equal (car (vl-make-idexpr-list acl2::x finalwidth finaltype))
         (and (consp acl2::x)
              (vl-idexpr (car acl2::x)
                         finalwidth finaltype)))
  :rule-classes ((:rewrite)))

Theorem: vl-make-idexpr-list-under-iff

(defthm vl-make-idexpr-list-under-iff
  (iff (vl-make-idexpr-list acl2::x finalwidth finaltype)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-make-idexpr-list

(defthm consp-of-vl-make-idexpr-list
  (equal (consp (vl-make-idexpr-list acl2::x finalwidth finaltype))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-make-idexpr-list

(defthm len-of-vl-make-idexpr-list
  (equal (len (vl-make-idexpr-list acl2::x finalwidth finaltype))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-make-idexpr-list

(defthm true-listp-of-vl-make-idexpr-list
  (true-listp (vl-make-idexpr-list acl2::x finalwidth finaltype))
  :rule-classes :type-prescription)

Theorem: vl-make-idexpr-list-when-not-consp

(defthm vl-make-idexpr-list-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-make-idexpr-list acl2::x finalwidth finaltype)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-make-idexpr-list-of-cons

(defthm vl-make-idexpr-list-of-cons
  (equal (vl-make-idexpr-list (cons acl2::a acl2::b)
                              finalwidth finaltype)
         (cons (vl-idexpr acl2::a finalwidth finaltype)
               (vl-make-idexpr-list acl2::b finalwidth finaltype)))
  :rule-classes ((:rewrite)))

Theorem: vl-idexprlist->names-of-vl-make-idexpr-list

(defthm vl-idexprlist->names-of-vl-make-idexpr-list
  (implies (force (string-listp x))
           (equal (vl-idexprlist->names
                       (vl-make-idexpr-list x finalwidth finaltype))
                  x)))