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• Expr-tools

Vl-make-idexpr-list

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

Signature

(vl-make-idexpr-list x) → exprs

Arguments

x — Guard (string-listp x).

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 acc)
  (declare (xargs :guard (string-listp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-make-idexpr-list-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-make-idexpr-list-exec (cdr x)
                                  (cons (vl-idexpr (car x)) acc))
      acc)))

Function: vl-make-idexpr-list-nrev

(defun vl-make-idexpr-list-nrev (x nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (string-listp x)))
  (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)) nrev)))
        (vl-make-idexpr-list-nrev (cdr x)
                                  nrev)))))

Function: vl-make-idexpr-list

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

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

(defthm return-type-of-vl-make-idexpr-list
  (b* ((exprs (vl-make-idexpr-list x)))
    (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))
         (vl-make-idexpr-list x)))

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)
                  (vl-make-idexpr-list x-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))
          (update-nth acl2::n (vl-idexpr acl2::v)
                      (vl-make-idexpr-list acl2::x))))
 :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))
         (revappend (vl-make-idexpr-list acl2::x)
                    (vl-make-idexpr-list acl2::y)))
  :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))
         (vl-make-idexpr-list (nthcdr acl2::n acl2::x)))
  :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))
         (and (< (nfix acl2::n) (len acl2::x))
              (vl-idexpr (nth acl2::n acl2::x))))
  :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))
                  (take acl2::n (vl-make-idexpr-list acl2::x))))
  :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)
                      (vl-make-idexpr-list acl2::y)))
  :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)
                    (vl-make-idexpr-list acl2::y)))
  :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)
                   (vl-make-idexpr-list acl2::x)))
  :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 nrev)
         (append nrev (vl-make-idexpr-list acl2::x)))
  :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 acl2::acc)
         (revappend (vl-make-idexpr-list acl2::x)
                    acl2::acc))
  :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))
         (rev (vl-make-idexpr-list acl2::x)))
  :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))
         (vl-make-idexpr-list acl2::x))
  :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))
         (append (vl-make-idexpr-list acl2::a)
                 (vl-make-idexpr-list acl2::b)))
  :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))
         (vl-make-idexpr-list (cdr acl2::x)))
  :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))
         (and (consp acl2::x)
              (vl-idexpr (car acl2::x))))
  :rule-classes ((:rewrite)))

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

(defthm vl-make-idexpr-list-under-iff
  (iff (vl-make-idexpr-list acl2::x)
       (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))
         (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))
         (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))
  :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)
                  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))
         (cons (vl-idexpr acl2::a)
               (vl-make-idexpr-list acl2::b)))
  :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))
                  x)))