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Allexprs

Vl-aliaslist-allexprs

Gather all top-level expressions from a vl-aliaslist-p.

Signature
(vl-aliaslist-allexprs x) → exprs
Arguments: x — Guard (vl-aliaslist-p x).
Returns: exprs — Type (vl-exprlist-p exprs).

Definitions and Theorems

Function: vl-aliaslist-allexprs

(defun vl-aliaslist-allexprs (x)
 (declare (xargs :guard (vl-aliaslist-p x)))
 (let ((__function__ 'vl-aliaslist-allexprs))
  (declare (ignorable __function__))
  (mbe
      :logic
      (if (atom x)
          nil
        (append (vl-alias-allexprs (car x))
                (vl-aliaslist-allexprs (cdr x))))
      :exec (with-local-nrev (vl-aliaslist-allexprs-nrev x nrev)))))

Theorem: vl-exprlist-p-of-vl-aliaslist-allexprs

(defthm vl-exprlist-p-of-vl-aliaslist-allexprs
  (b* ((exprs (vl-aliaslist-allexprs x)))
    (vl-exprlist-p exprs))
  :rule-classes :rewrite)

Theorem: true-listp-of-vl-aliaslist-allexprs

(defthm true-listp-of-vl-aliaslist-allexprs
  (true-listp (vl-aliaslist-allexprs x))
  :rule-classes :type-prescription)

Theorem: vl-aliaslist-allexprs-nrev-removal

(defthm vl-aliaslist-allexprs-nrev-removal
  (equal (vl-aliaslist-allexprs-nrev x nrev)
         (append nrev (vl-aliaslist-allexprs x))))

Theorem: set-equiv-congruence-over-vl-aliaslist-allexprs

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

Theorem: subsetp-of-vl-aliaslist-allexprs-when-subsetp

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

Theorem: member-in-vl-aliaslist-allexprs

(defthm member-in-vl-aliaslist-allexprs
  (implies (and (member acl2::k (vl-alias-allexprs acl2::j))
                (member acl2::j acl2::x))
           (member acl2::k
                   (vl-aliaslist-allexprs acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-aliaslist-allexprs-of-list-fix

(defthm vl-aliaslist-allexprs-of-list-fix
  (equal (vl-aliaslist-allexprs (list-fix acl2::x))
         (vl-aliaslist-allexprs acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-aliaslist-allexprs-of-append

(defthm vl-aliaslist-allexprs-of-append
  (equal (vl-aliaslist-allexprs (append acl2::a acl2::b))
         (append (vl-aliaslist-allexprs acl2::a)
                 (vl-aliaslist-allexprs acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: vl-aliaslist-allexprs-when-not-consp

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

Theorem: vl-aliaslist-allexprs-of-cons

(defthm vl-aliaslist-allexprs-of-cons
  (equal (vl-aliaslist-allexprs (cons acl2::a acl2::b))
         (append (vl-alias-allexprs acl2::a)
                 (vl-aliaslist-allexprs acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: vl-aliaslist-allexprs-of-vl-aliaslist-fix-x

(defthm vl-aliaslist-allexprs-of-vl-aliaslist-fix-x
  (equal (vl-aliaslist-allexprs (vl-aliaslist-fix x))
         (vl-aliaslist-allexprs x)))

Theorem: vl-aliaslist-allexprs-vl-aliaslist-equiv-congruence-on-x

(defthm vl-aliaslist-allexprs-vl-aliaslist-equiv-congruence-on-x
  (implies (vl-aliaslist-equiv x x-equiv)
           (equal (vl-aliaslist-allexprs x)
                  (vl-aliaslist-allexprs x-equiv)))
  :rule-classes :congruence)

Subtopics

Vl-aliaslist-allexprs-nrev