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Representation-of-integer-operations

Minus-ullong

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

Definitions and Theorems

Function: minus-ullong

(defun minus-ullong (x)
  (declare (xargs :guard (and (ullongp x))))
  (ullong-from-integer-mod (- (integer-from-ullong x))))

Theorem: ullongp-of-minus-ullong

(defthm ullongp-of-minus-ullong
  (ullongp (minus-ullong x)))

Theorem: minus-ullong-of-ullong-fix-x

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

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

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