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Scalar-operations

Lognot-scalar-value

Apply ! to a scalar value [C:6.5.3.3/5].

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

Definitions and Theorems

Function: lognot-scalar-value

(defun lognot-scalar-value (val)
  (declare (xargs :guard (valuep val)))
  (declare (xargs :guard (value-scalarp val)))
  (let ((__function__ 'lognot-scalar-value))
    (declare (ignorable __function__))
    (cond ((value-integerp val)
           (lognot-integer-value val))
          ((value-case val :pointer)
           (lognot-pointer-value val))
          (t (ec-call (value-fix (impossible)))))))

Theorem: valuep-of-lognot-scalar-value

(defthm valuep-of-lognot-scalar-value
  (b* ((resval (lognot-scalar-value val)))
    (valuep resval))
  :rule-classes :rewrite)

Theorem: lognot-scalar-value-of-value-fix-val

(defthm lognot-scalar-value-of-value-fix-val
  (equal (lognot-scalar-value (value-fix val))
         (lognot-scalar-value val)))

Theorem: lognot-scalar-value-value-equiv-congruence-on-val

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