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Representation-of-integer-operations

Minus-sint

Unary minus of a value of type signed int [C:6.5.3].

Definitions and Theorems

Function: minus-sint

(defun minus-sint (x)
  (declare (xargs :guard (and (sintp x) (minus-sint-okp x))))
  (sint-from-integer (- (integer-from-sint x))))

Theorem: sintp-of-minus-sint

(defthm sintp-of-minus-sint
  (sintp (minus-sint x)))

Theorem: minus-sint-of-sint-fix-x

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

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

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