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• Bitops/signed-byte-p

Signed-byte-p-when-unsigned-byte-p-smaller

An N-bit unsigned is an M-big signed for any M < N.

Definitions and Theorems

Theorem: signed-byte-p-when-unsigned-byte-p-smaller

(defthm signed-byte-p-when-unsigned-byte-p-smaller
  (implies (and (unsigned-byte-p size1 x)
                (< size1 (nfix size2)))
           (signed-byte-p size2 x)))