		Search-engine friendly clone of the ACL2 documentation.

Representation-of-integers

Ullong

Fixtype of values of type unsigned long long.

Definitions and Theorems

Function: ullong-equiv$inline

(defun ullong-equiv$inline (acl2::x acl2::y)
  (declare (xargs :guard (and (ullongp acl2::x)
                              (ullongp acl2::y))))
  (equal (ullong-fix acl2::x)
         (ullong-fix acl2::y)))

Theorem: ullong-equiv-is-an-equivalence

(defthm ullong-equiv-is-an-equivalence
  (and (booleanp (ullong-equiv x y))
       (ullong-equiv x x)
       (implies (ullong-equiv x y)
                (ullong-equiv y x))
       (implies (and (ullong-equiv x y)
                     (ullong-equiv y z))
                (ullong-equiv x z)))
  :rule-classes (:equivalence))

Theorem: ullong-equiv-implies-equal-ullong-fix-1

(defthm ullong-equiv-implies-equal-ullong-fix-1
  (implies (ullong-equiv acl2::x x-equiv)
           (equal (ullong-fix acl2::x)
                  (ullong-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: ullong-fix-under-ullong-equiv

(defthm ullong-fix-under-ullong-equiv
  (ullong-equiv (ullong-fix acl2::x)
                acl2::x)
  :rule-classes (:rewrite :rewrite-quoted-constant))