• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
    • Apt
    • Zfc
    • Acre
    • Milawa
    • Smtlink
    • Abnf
    • Vwsim
    • Isar
    • Wp-gen
    • Dimacs-reader
    • Pfcs
    • Legacy-defrstobj
    • Proof-checker-array
    • Soft
    • C
    • Farray
    • Rp-rewriter
    • Instant-runoff-voting
    • Imp-language
    • Sidekick
    • Leftist-trees
    • Java
    • Taspi
    • Bitcoin
      • Bip32
      • Bech32
      • Bip39
        • *bip39-english-words*
        • Bip39-mnemonic-to-seed
        • Bip39-entropy-to-word-indexes
        • Bip39-entropy
          • Bip39-entropyp
          • Bip39-entropy-fix
        • Bip39-word-indexes-to-words
        • Bip39-words-to-mnemonic
        • Bip39-entropy-to-seed
        • Bip39-entropy-to-mnemonic
        • Bip39-english-words-bound-p
        • Bip39-entropy-size-p
      • Bip44
      • Base58
      • Bip43
      • Bytes
      • Base58check
      • Cryptography
      • Bip-350
      • Bip-173
    • Riscv
    • Des
    • Ethereum
    • X86isa
    • Sha-2
    • Yul
    • Zcash
    • Proof-checker-itp13
    • Regex
    • ACL2-programming-language
    • Json
    • Jfkr
    • Equational
    • Cryptography
    • Poseidon
    • Where-do-i-place-my-book
    • Axe
    • Bigmems
    • Builtins
    • Execloader
    • Aleo
    • Solidity
    • Paco
    • Concurrent-programs
    • Bls12-377-curves
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Bip39-entropy

Bip39-entropy-fix

Fixer for bip39-entropy.

Signature

(bip39-entropy-fix x) → fixed-x

Arguments

x — Guard (bip39-entropyp x).

Returns

fixed-x — Type (bip39-entropyp fixed-x).

Definitions and Theorems

Function: bip39-entropy-fix

(defun bip39-entropy-fix (x)
  (declare (xargs :guard (bip39-entropyp x)))
  (mbe :logic (if (bip39-entropyp x) x (repeat 128 0))
       :exec x))

Theorem: bip39-entropyp-of-bip39-entropy-fix

(defthm bip39-entropyp-of-bip39-entropy-fix
  (b* ((fixed-x (bip39-entropy-fix x)))
    (bip39-entropyp fixed-x))
  :rule-classes :rewrite)

Theorem: bip39-entropy-fix-when-bip39-entropyp

(defthm bip39-entropy-fix-when-bip39-entropyp
  (implies (bip39-entropyp x)
           (equal (bip39-entropy-fix x) x)))