Basic theorems about svstmtlist-p, generated by std::deflist.
Theorem:
(defthm svstmtlist-p-of-cons (equal (svstmtlist-p (cons acl2::a x)) (and (svstmt-p acl2::a) (svstmtlist-p x))) :rule-classes ((:rewrite)))
Theorem:
(defthm svstmtlist-p-of-cdr-when-svstmtlist-p (implies (svstmtlist-p (double-rewrite x)) (svstmtlist-p (cdr x))) :rule-classes ((:rewrite)))
Theorem:
(defthm svstmtlist-p-when-not-consp (implies (not (consp x)) (svstmtlist-p x)) :rule-classes ((:rewrite)))
Theorem:
(defthm svstmt-p-of-car-when-svstmtlist-p (implies (svstmtlist-p x) (iff (svstmt-p (car x)) (consp x))) :rule-classes ((:rewrite)))
Theorem:
(defthm svstmtlist-p-of-append (equal (svstmtlist-p (append acl2::a acl2::b)) (and (svstmtlist-p acl2::a) (svstmtlist-p acl2::b))) :rule-classes ((:rewrite)))
Theorem:
(defthm svstmtlist-p-of-list-fix (equal (svstmtlist-p (list-fix x)) (svstmtlist-p x)) :rule-classes ((:rewrite)))
Theorem:
(defthm svstmtlist-p-of-rev (equal (svstmtlist-p (rev x)) (svstmtlist-p (list-fix x))) :rule-classes ((:rewrite)))
Theorem:
(defthm svstmtlist-p-of-repeat (iff (svstmtlist-p (repeat acl2::n x)) (or (svstmt-p x) (zp acl2::n))) :rule-classes ((:rewrite)))
Theorem:
(defthm svstmtlist-p-of-butlast (implies (svstmtlist-p (double-rewrite x)) (svstmtlist-p (butlast x acl2::n))) :rule-classes ((:rewrite)))