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Operations

Minus-value

Apply unary - to a value [C:6.5.3.3/1] [C:6.5.3.3/3].

Signature
(minus-value val) → resval
Arguments: val — Guard (valuep val).
Returns: resval — Type (value-resultp resval).

It is an error if the value is not arithmetic.

Definitions and Theorems

Function: minus-value

(defun minus-value (val)
  (declare (xargs :guard (valuep val)))
  (let ((__function__ 'minus-value))
    (declare (ignorable __function__))
    (if (value-arithmeticp val)
        (minus-arithmetic-value val)
      (error (list :minus-mistype
                   :required :arithmetic
                   :supplied (value-fix val))))))

Theorem: value-resultp-of-minus-value

(defthm value-resultp-of-minus-value
  (b* ((resval (minus-value val)))
    (value-resultp resval))
  :rule-classes :rewrite)

Theorem: minus-value-of-value-fix-val

(defthm minus-value-of-value-fix-val
  (equal (minus-value (value-fix val))
         (minus-value val)))

Theorem: minus-value-value-equiv-congruence-on-val

(defthm minus-value-value-equiv-congruence-on-val
  (implies (value-equiv val val-equiv)
           (equal (minus-value val)
                  (minus-value val-equiv)))
  :rule-classes :congruence)