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• Bitset-intersect

Bitset-binary-intersect

Signature

(bitset-binary-intersect x y) → bitset

Arguments

x — Guard (natp x).

y — Guard (natp y).

Returns

bitset — Type (natp bitset).

Definitions and Theorems

Function: bitset-binary-intersect$inline

(defun bitset-binary-intersect$inline (x y)
  (declare (type unsigned-byte x)
           (type unsigned-byte y))
  (declare (xargs :guard (and (natp x) (natp y))))
  (declare (xargs :split-types t))
  (let ((__function__ 'bitset-binary-intersect))
    (declare (ignorable __function__))
    (the unsigned-byte
         (logand (the unsigned-byte (lnfix x))
                 (the unsigned-byte (lnfix y))))))

Theorem: natp-of-bitset-binary-intersect

(defthm natp-of-bitset-binary-intersect
  (b* ((bitset (bitset-binary-intersect$inline x y)))
    (natp bitset))
  :rule-classes :type-prescription)