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