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• Lvalexprs

Vl-initiallist-lvalexprs

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

Signature

(vl-initiallist-lvalexprs x) → exprs

Arguments

x — Guard (vl-initiallist-p x).

Returns

exprs — Type (vl-exprlist-p exprs).

Definitions and Theorems

Function: vl-initiallist-lvalexprs

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

Theorem: vl-exprlist-p-of-vl-initiallist-lvalexprs

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

Theorem: true-listp-of-vl-initiallist-lvalexprs

(defthm true-listp-of-vl-initiallist-lvalexprs
  (true-listp (vl-initiallist-lvalexprs x))
  :rule-classes :type-prescription)

Theorem: vl-initiallist-lvalexprs-nrev-removal

(defthm vl-initiallist-lvalexprs-nrev-removal
  (equal (vl-initiallist-lvalexprs-nrev x nrev)
         (append nrev (vl-initiallist-lvalexprs x))))

Theorem: set-equiv-congruence-over-vl-initiallist-lvalexprs

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

Theorem: subsetp-of-vl-initiallist-lvalexprs-when-subsetp

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

Theorem: member-in-vl-initiallist-lvalexprs

(defthm member-in-vl-initiallist-lvalexprs
  (implies (and (member acl2::k (vl-initial-lvalexprs acl2::j))
                (member acl2::j acl2::x))
           (member acl2::k
                   (vl-initiallist-lvalexprs acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-initiallist-lvalexprs-of-list-fix

(defthm vl-initiallist-lvalexprs-of-list-fix
  (equal (vl-initiallist-lvalexprs (list-fix acl2::x))
         (vl-initiallist-lvalexprs acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-initiallist-lvalexprs-of-append

(defthm vl-initiallist-lvalexprs-of-append
  (equal (vl-initiallist-lvalexprs (append acl2::a acl2::b))
         (append (vl-initiallist-lvalexprs acl2::a)
                 (vl-initiallist-lvalexprs acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: vl-initiallist-lvalexprs-when-not-consp

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

Theorem: vl-initiallist-lvalexprs-of-cons

(defthm vl-initiallist-lvalexprs-of-cons
  (equal (vl-initiallist-lvalexprs (cons acl2::a acl2::b))
         (append (vl-initial-lvalexprs acl2::a)
                 (vl-initiallist-lvalexprs acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: vl-exprlist-lvaluesp-of-vl-initiallist-lvalexprs

(defthm vl-exprlist-lvaluesp-of-vl-initiallist-lvalexprs
  (vl-exprlist-lvaluesp (vl-initiallist-lvalexprs x)))

Theorem: vl-initiallist-lvalexprs-of-vl-initiallist-fix-x

(defthm vl-initiallist-lvalexprs-of-vl-initiallist-fix-x
  (equal (vl-initiallist-lvalexprs (vl-initiallist-fix x))
         (vl-initiallist-lvalexprs x)))

Theorem: vl-initiallist-lvalexprs-vl-initiallist-equiv-congruence-on-x

(defthm
      vl-initiallist-lvalexprs-vl-initiallist-equiv-congruence-on-x
  (implies (vl-initiallist-equiv x x-equiv)
           (equal (vl-initiallist-lvalexprs x)
                  (vl-initiallist-lvalexprs x-equiv)))
  :rule-classes :congruence)

Subtopics

Vl-initiallist-lvalexprs-nrev