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• Bitops/signed-byte-p

Basic-signed-byte-p-of-truncate

Truncating an N-bit signed by an integer is usually an N-bit signed. (Weak form, enabled by default).

See also basic-signed-byte-p-of-truncate-split.

Definitions and Theorems

Theorem: basic-signed-byte-p-of-truncate

(defthm basic-signed-byte-p-of-truncate
  (implies (and (signed-byte-p n a)
                (integerp b)
                (not (and (equal a (- (expt 2 (- n 1))))
                          (equal b -1))))
           (signed-byte-p n (truncate a b))))