• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Set
      • Soft
      • C
      • Bv
      • Imp-language
      • Event-macros
      • Java
      • Bitcoin
      • Ethereum
        • Mmp-trees
        • Semaphore
        • Database
        • Cryptography
        • Rlp
        • Transactions
        • Hex-prefix
        • Basics
          • Byte-arrays
          • Bytes
          • Words
          • Nibbles
          • Scalars
          • Nibble-arrays
        • Addresses
      • Yul
      • Zcash
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Cryptography
      • Number-theory
      • Lists-light
      • Axe
      • Builtins
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Basics

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)))