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Bytes

Bytes.

[YP:B] describes \mathbb{O} as the set of 8-bit bytes. We use the library type byte to model \mathbb{O}.

Definitions and Theorems

Theorem: natp-of-byte-fix

(defthm natp-of-byte-fix
  (natp (byte-fix x))
  :rule-classes :type-prescription)

Theorem: byte-fix-upper-bound

(defthm byte-fix-upper-bound
  (< (byte-fix x) 256)
  :rule-classes :linear)

Theorem: byte-fix-rewrite-unsigned-byte-fix

(defthm byte-fix-rewrite-unsigned-byte-fix
  (equal (byte-fix x)
         (unsigned-byte-fix 8 x)))