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Representation-of-integer-operations

Minus-uint

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

Definitions and Theorems

Function: minus-uint

(defun minus-uint (x)
  (declare (xargs :guard (and (uintp x))))
  (uint-from-integer-mod (- (integer-from-uint x))))

Theorem: uintp-of-minus-uint

(defthm uintp-of-minus-uint
  (uintp (minus-uint x)))

Theorem: minus-uint-of-uint-fix-x

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

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

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