Some theorems about the built-in function intersectp.
Theorem:
(defthm intersectp-append-left (equal (intersectp-equal (append x y) z) (or (intersectp-equal x z) (intersectp-equal y z))))
Theorem:
(defthm intersectp-append-right (equal (intersectp-equal x (append y z)) (or (intersectp-equal x y) (intersectp-equal x z))))