Basic theorems about 4vmasklist-p, generated by std::deflist.
Theorem:
(defthm 4vmasklist-p-of-cons (equal (4vmasklist-p (cons acl2::a x)) (and (4vmask-p acl2::a) (4vmasklist-p x))) :rule-classes ((:rewrite)))
Theorem:
(defthm 4vmasklist-p-of-cdr-when-4vmasklist-p (implies (4vmasklist-p (double-rewrite x)) (4vmasklist-p (cdr x))) :rule-classes ((:rewrite)))
Theorem:
(defthm 4vmasklist-p-when-not-consp (implies (not (consp x)) (equal (4vmasklist-p x) (not x))) :rule-classes ((:rewrite)))
Theorem:
(defthm 4vmask-p-of-car-when-4vmasklist-p (implies (4vmasklist-p x) (iff (4vmask-p (car x)) (or (consp x) (4vmask-p nil)))) :rule-classes ((:rewrite)))
Theorem:
(defthm true-listp-when-4vmasklist-p-compound-recognizer (implies (4vmasklist-p x) (true-listp x)) :rule-classes :compound-recognizer)
Theorem:
(defthm 4vmasklist-p-of-list-fix (implies (4vmasklist-p x) (4vmasklist-p (list-fix x))) :rule-classes ((:rewrite)))
Theorem:
(defthm 4vmasklist-p-of-rev (equal (4vmasklist-p (rev x)) (4vmasklist-p (list-fix x))) :rule-classes ((:rewrite)))
Theorem:
(defthm 4vmasklist-p-of-repeat (iff (4vmasklist-p (repeat acl2::n x)) (or (4vmask-p x) (zp acl2::n))) :rule-classes ((:rewrite)))