Basic theorems about fgl-objectlist-p, generated by deflist.
Theorem:
(defthm fgl-objectlist-p-of-cons (equal (fgl-objectlist-p (cons a x)) (and (fgl-object-p a) (fgl-objectlist-p x))) :rule-classes ((:rewrite)))
Theorem:
(defthm fgl-objectlist-p-of-cdr-when-fgl-objectlist-p (implies (fgl-objectlist-p (double-rewrite x)) (fgl-objectlist-p (cdr x))) :rule-classes ((:rewrite)))
Theorem:
(defthm fgl-objectlist-p-when-not-consp (implies (not (consp x)) (equal (fgl-objectlist-p x) (not x))) :rule-classes ((:rewrite)))
Theorem:
(defthm fgl-object-p-of-car-when-fgl-objectlist-p (implies (fgl-objectlist-p x) (fgl-object-p (car x))) :rule-classes ((:rewrite)))
Theorem:
(defthm true-listp-when-fgl-objectlist-p-compound-recognizer (implies (fgl-objectlist-p x) (true-listp x)) :rule-classes :compound-recognizer)
Theorem:
(defthm fgl-objectlist-p-of-list-fix (implies (fgl-objectlist-p x) (fgl-objectlist-p (list-fix x))) :rule-classes ((:rewrite)))
Theorem:
(defthm fgl-objectlist-p-of-rev (equal (fgl-objectlist-p (rev x)) (fgl-objectlist-p (list-fix x))) :rule-classes ((:rewrite)))