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