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• Bitops/signed-byte-p

Unsigned-byte-p-of-minus-when-signed-byte-p

Negating an N-bit signed creates an N-bit unsigned exactly when it was negative.

Definitions and Theorems

Theorem: unsigned-byte-p-of-minus-when-signed-byte-p

(defthm unsigned-byte-p-of-minus-when-signed-byte-p
  (implies (signed-byte-p n x)
           (equal (unsigned-byte-p n (- x))
                  (<= x 0))))