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• Origexprs

Vl-expr-origexprs

Recursively annotate an expression with VL_ORIG_EXPR attributes.

Signature

(vl-expr-origexprs x) → new-x

Arguments

x — Guard (vl-expr-p x).

Returns

new-x — Type (vl-expr-p new-x).

Even though we recursively annotate an expression, this function is really very fast. We need not do any pretty-printing, because we are only consing the original version of X into its attributes.

Theorem: return-type-of-vl-expr-origexprs.new-x

(defthm return-type-of-vl-expr-origexprs.new-x
  (b* ((?new-x (vl-expr-origexprs x)))
    (vl-expr-p new-x))
  :rule-classes :rewrite)

Theorem: return-type-of-vl-exprlist-origexprs.new-x

(defthm return-type-of-vl-exprlist-origexprs.new-x
  (b* ((?new-x (vl-exprlist-origexprs x)))
    (and (vl-exprlist-p new-x)
         (equal (len new-x) (len x))))
  :rule-classes :rewrite)

Theorem: vl-exprlist-origexprs-of-update-nth

(defthm vl-exprlist-origexprs-of-update-nth
 (implies
   (<= (nfix acl2::n) (len acl2::x))
   (equal
        (vl-exprlist-origexprs (update-nth acl2::n acl2::v acl2::x))
        (update-nth acl2::n (vl-expr-origexprs acl2::v)
                    (vl-exprlist-origexprs acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: vl-exprlist-origexprs-of-revappend

(defthm vl-exprlist-origexprs-of-revappend
  (equal (vl-exprlist-origexprs (revappend acl2::x acl2::y))
         (revappend (vl-exprlist-origexprs acl2::x)
                    (vl-exprlist-origexprs acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-exprlist-origexprs

(defthm nthcdr-of-vl-exprlist-origexprs
  (equal (nthcdr acl2::n (vl-exprlist-origexprs acl2::x))
         (vl-exprlist-origexprs (nthcdr acl2::n acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: nth-of-vl-exprlist-origexprs

(defthm nth-of-vl-exprlist-origexprs
  (equal (nth acl2::n (vl-exprlist-origexprs acl2::x))
         (and (< (nfix acl2::n) (len acl2::x))
              (vl-expr-origexprs (nth acl2::n acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-exprlist-origexprs-of-take

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

Theorem: set-equiv-congruence-over-vl-exprlist-origexprs

(defthm set-equiv-congruence-over-vl-exprlist-origexprs
  (implies (set-equiv acl2::x acl2::y)
           (set-equiv (vl-exprlist-origexprs acl2::x)
                      (vl-exprlist-origexprs acl2::y)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-exprlist-origexprs-when-subsetp

(defthm subsetp-of-vl-exprlist-origexprs-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-exprlist-origexprs acl2::x)
                    (vl-exprlist-origexprs acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-expr-origexprs-in-vl-exprlist-origexprs

(defthm member-of-vl-expr-origexprs-in-vl-exprlist-origexprs
  (implies (member acl2::k acl2::x)
           (member (vl-expr-origexprs acl2::k)
                   (vl-exprlist-origexprs acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-exprlist-origexprs-of-rev

(defthm vl-exprlist-origexprs-of-rev
  (equal (vl-exprlist-origexprs (rev acl2::x))
         (rev (vl-exprlist-origexprs acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-exprlist-origexprs-of-list-fix

(defthm vl-exprlist-origexprs-of-list-fix
  (equal (vl-exprlist-origexprs (list-fix acl2::x))
         (vl-exprlist-origexprs acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-exprlist-origexprs-of-append

(defthm vl-exprlist-origexprs-of-append
  (equal (vl-exprlist-origexprs (append acl2::a acl2::b))
         (append (vl-exprlist-origexprs acl2::a)
                 (vl-exprlist-origexprs acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-exprlist-origexprs

(defthm cdr-of-vl-exprlist-origexprs
  (equal (cdr (vl-exprlist-origexprs acl2::x))
         (vl-exprlist-origexprs (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-exprlist-origexprs

(defthm car-of-vl-exprlist-origexprs
  (equal (car (vl-exprlist-origexprs acl2::x))
         (and (consp acl2::x)
              (vl-expr-origexprs (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-exprlist-origexprs-under-iff

(defthm vl-exprlist-origexprs-under-iff
  (iff (vl-exprlist-origexprs acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-exprlist-origexprs

(defthm consp-of-vl-exprlist-origexprs
  (equal (consp (vl-exprlist-origexprs acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-exprlist-origexprs

(defthm len-of-vl-exprlist-origexprs
  (equal (len (vl-exprlist-origexprs acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-exprlist-origexprs

(defthm true-listp-of-vl-exprlist-origexprs
  (true-listp (vl-exprlist-origexprs acl2::x))
  :rule-classes :type-prescription)

Theorem: vl-exprlist-origexprs-when-not-consp

(defthm vl-exprlist-origexprs-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-exprlist-origexprs acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-exprlist-origexprs-of-cons

(defthm vl-exprlist-origexprs-of-cons
  (equal (vl-exprlist-origexprs (cons acl2::a acl2::b))
         (cons (vl-expr-origexprs acl2::a)
               (vl-exprlist-origexprs acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: vl-expr-origexprs-of-vl-expr-fix-x

(defthm vl-expr-origexprs-of-vl-expr-fix-x
  (equal (vl-expr-origexprs (vl-expr-fix x))
         (vl-expr-origexprs x)))

Theorem: vl-exprlist-origexprs-of-vl-exprlist-fix-x

(defthm vl-exprlist-origexprs-of-vl-exprlist-fix-x
  (equal (vl-exprlist-origexprs (vl-exprlist-fix x))
         (vl-exprlist-origexprs x)))

Theorem: vl-expr-origexprs-vl-expr-equiv-congruence-on-x

(defthm vl-expr-origexprs-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-expr-origexprs x)
                  (vl-expr-origexprs x-equiv)))
  :rule-classes :congruence)

Theorem: vl-exprlist-origexprs-vl-exprlist-equiv-congruence-on-x

(defthm vl-exprlist-origexprs-vl-exprlist-equiv-congruence-on-x
  (implies (vl-exprlist-equiv x x-equiv)
           (equal (vl-exprlist-origexprs x)
                  (vl-exprlist-origexprs x-equiv)))
  :rule-classes :congruence)

Subtopics

Vl-exprlist-origexprs