Basic theorems about obligation-hyp-listp, generated by std::deflist.
Theorem:
(defthm obligation-hyp-listp-of-cons (equal (obligation-hyp-listp (cons acl2::a acl2::x)) (and (obligation-hypp acl2::a) (obligation-hyp-listp acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm obligation-hyp-listp-of-cdr-when-obligation-hyp-listp (implies (obligation-hyp-listp (double-rewrite acl2::x)) (obligation-hyp-listp (cdr acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm obligation-hyp-listp-when-not-consp (implies (not (consp acl2::x)) (equal (obligation-hyp-listp acl2::x) (not acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm obligation-hypp-of-car-when-obligation-hyp-listp (implies (obligation-hyp-listp acl2::x) (iff (obligation-hypp (car acl2::x)) (consp acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm true-listp-when-obligation-hyp-listp-compound-recognizer (implies (obligation-hyp-listp acl2::x) (true-listp acl2::x)) :rule-classes :compound-recognizer)
Theorem:
(defthm obligation-hyp-listp-of-list-fix (implies (obligation-hyp-listp acl2::x) (obligation-hyp-listp (list-fix acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm obligation-hyp-listp-of-rev (equal (obligation-hyp-listp (rev acl2::x)) (obligation-hyp-listp (list-fix acl2::x))) :rule-classes ((:rewrite)))
Theorem:
(defthm obligation-hyp-listp-of-append (equal (obligation-hyp-listp (append acl2::a acl2::b)) (and (obligation-hyp-listp (list-fix acl2::a)) (obligation-hyp-listp acl2::b))) :rule-classes ((:rewrite)))