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Representation-of-integer-operations

Minus-slong

Unary minus of a value of type signed long [C17:6.5.3].

Definitions and Theorems

Function: minus-slong

(defun minus-slong (x)
  (declare (xargs :guard (and (slongp x) (minus-slong-okp x))))
  (slong-from-integer (- (integer-from-slong x))))

Theorem: slongp-of-minus-slong

(defthm slongp-of-minus-slong
  (slongp (minus-slong x)))

Theorem: minus-slong-of-slong-fix-x

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

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

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