update-acl2-oracle

(in-package "ACL2")

(local (in-theory (disable state-p1)))

(defthm open-input-channels-of-update-acl2-oracle
  (equal (open-input-channels (update-acl2-oracle x st))
    (open-input-channels st))
  :hints (("Goal" :in-theory (enable open-input-channels update-acl2-oracle))))

(defthm w-of-update-acl2-oracle
  (equal (w (update-acl2-oracle x st)) (w st))
  :hints (("Goal" :in-theory (enable w update-acl2-oracle))))

(defthm state-p1-of-update-acl2-oracle
  (implies (state-p1 state)
    (equal (state-p1 (update-acl2-oracle x state))
      (true-listp x)))
  :hints (("Goal" :in-theory (enable update-acl2-oracle state-p1))))

(in-theory (disable update-acl2-oracle-preserves-state-p1))