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