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• Vl-locationlist-p

Vl-locationlist-p-basics

Basic theorems about vl-locationlist-p, generated by deflist.

Definitions and Theorems

Theorem: vl-locationlist-p-of-cons

(defthm vl-locationlist-p-of-cons
  (equal (vl-locationlist-p (cons acl2::a acl2::x))
         (and (vl-location-p acl2::a)
              (vl-locationlist-p acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-locationlist-p-of-cdr-when-vl-locationlist-p

(defthm vl-locationlist-p-of-cdr-when-vl-locationlist-p
  (implies (vl-locationlist-p (double-rewrite acl2::x))
           (vl-locationlist-p (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-locationlist-p-when-not-consp

(defthm vl-locationlist-p-when-not-consp
  (implies (not (consp acl2::x))
           (vl-locationlist-p acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-location-p-of-car-when-vl-locationlist-p

(defthm vl-location-p-of-car-when-vl-locationlist-p
  (implies (vl-locationlist-p acl2::x)
           (iff (vl-location-p (car acl2::x))
                (or (consp acl2::x)
                    (vl-location-p nil))))
  :rule-classes ((:rewrite)))

Theorem: vl-locationlist-p-of-append

(defthm vl-locationlist-p-of-append
  (equal (vl-locationlist-p (append acl2::a acl2::b))
         (and (vl-locationlist-p acl2::a)
              (vl-locationlist-p acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: vl-locationlist-p-of-list-fix

(defthm vl-locationlist-p-of-list-fix
  (equal (vl-locationlist-p (list-fix acl2::x))
         (vl-locationlist-p acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-locationlist-p-of-rev

(defthm vl-locationlist-p-of-rev
  (equal (vl-locationlist-p (rev acl2::x))
         (vl-locationlist-p (list-fix acl2::x)))
  :rule-classes ((:rewrite)))