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• Bitops/signed-byte-p

Basic-signed-byte-p-of-1+lognot

Lognot+1 (two's complement) of an N-bit unsigned is an N+1 bit signed.

Definitions and Theorems

Theorem: basic-signed-byte-p-of-1+lognot

(defthm basic-signed-byte-p-of-1+lognot
  (implies (unsigned-byte-p n x)
           (signed-byte-p (+ 1 n)
                          (+ 1 (lognot x)))))