Basic theorems about s4veclist-p, generated by std::deflist.
Theorem:
(defthm s4veclist-p-of-cons (equal (s4veclist-p (cons acl2::a x)) (and (s4vec-p acl2::a) (s4veclist-p x))) :rule-classes ((:rewrite)))
Theorem:
(defthm s4veclist-p-of-cdr-when-s4veclist-p (implies (s4veclist-p (double-rewrite x)) (s4veclist-p (cdr x))) :rule-classes ((:rewrite)))
Theorem:
(defthm s4veclist-p-when-not-consp (implies (not (consp x)) (equal (s4veclist-p x) (not x))) :rule-classes ((:rewrite)))
Theorem:
(defthm s4vec-p-of-car-when-s4veclist-p (implies (s4veclist-p x) (iff (s4vec-p (car x)) (or (consp x) (s4vec-p nil)))) :rule-classes ((:rewrite)))
Theorem:
(defthm true-listp-when-s4veclist-p-compound-recognizer (implies (s4veclist-p x) (true-listp x)) :rule-classes :compound-recognizer)
Theorem:
(defthm s4veclist-p-of-list-fix (implies (s4veclist-p x) (s4veclist-p (list-fix x))) :rule-classes ((:rewrite)))
Theorem:
(defthm s4veclist-p-of-rev (equal (s4veclist-p (rev x)) (s4veclist-p (list-fix x))) :rule-classes ((:rewrite)))