		Search-engine friendly clone of the ACL2 documentation.

Representation-of-integer-operations

Minus-ulong

Unary minus of a value of type unsigned long [C:6.5.3].

Definitions and Theorems

Function: minus-ulong

(defun minus-ulong (x)
  (declare (xargs :guard (and (ulongp x))))
  (ulong-from-integer-mod (- (integer-from-ulong x))))

Theorem: ulongp-of-minus-ulong

(defthm ulongp-of-minus-ulong
  (ulongp (minus-ulong x)))

Theorem: minus-ulong-of-ulong-fix-x

(defthm minus-ulong-of-ulong-fix-x
  (equal (minus-ulong (ulong-fix x))
         (minus-ulong x)))

Theorem: minus-ulong-ulong-equiv-congruence-on-x

(defthm minus-ulong-ulong-equiv-congruence-on-x
  (implies (ulong-equiv x x-equiv)
           (equal (minus-ulong x)
                  (minus-ulong x-equiv)))
  :rule-classes :congruence)