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Integer-operations

Int-not

Bitwise complement ~ on ints [JLS14:4.2.2] [JLS14:15.15.5].

Signature
(int-not operand) → result
Arguments: operand — Guard (int-valuep operand).
Returns: result — Type (int-valuep result).

Definitions and Theorems

Function: int-not

(defun int-not (operand)
  (declare (xargs :guard (int-valuep operand)))
  (b* ((x (int-value->int operand)))
    (int-value (logext 32 (lognot x)))))

Theorem: int-valuep-of-int-not

(defthm int-valuep-of-int-not
  (b* ((result (int-not operand)))
    (int-valuep result))
  :rule-classes :rewrite)

Theorem: int-not-of-int-value-fix-operand

(defthm int-not-of-int-value-fix-operand
  (equal (int-not (int-value-fix operand))
         (int-not operand)))

Theorem: int-not-int-value-equiv-congruence-on-operand

(defthm int-not-int-value-equiv-congruence-on-operand
  (implies (int-value-equiv operand operand-equiv)
           (equal (int-not operand)
                  (int-not operand-equiv)))
  :rule-classes :congruence)