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