Basic theorems about pseudo-var-list-p, generated by std::deflist.
Theorem:
(defthm pseudo-var-list-p-of-cons (equal (pseudo-var-list-p (cons a x)) (and (pseudo-var-p a) (pseudo-var-list-p x))) :rule-classes ((:rewrite)))
Theorem:
(defthm pseudo-var-list-p-of-cdr-when-pseudo-var-list-p (implies (pseudo-var-list-p (double-rewrite x)) (pseudo-var-list-p (cdr x))) :rule-classes ((:rewrite)))
Theorem:
(defthm pseudo-var-list-p-when-not-consp (implies (not (consp x)) (equal (pseudo-var-list-p x) (not x))) :rule-classes ((:rewrite)))
Theorem:
(defthm pseudo-var-p-of-car-when-pseudo-var-list-p (implies (pseudo-var-list-p x) (iff (pseudo-var-p (car x)) (or (consp x) (pseudo-var-p nil)))) :rule-classes ((:rewrite)))
Theorem:
(defthm true-listp-when-pseudo-var-list-p-compound-recognizer (implies (pseudo-var-list-p x) (true-listp x)) :rule-classes :compound-recognizer)