• 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
      • Soft
      • Bv
      • Imp-language
      • C
      • Event-macros
      • Java
      • Bitcoin
        • Bip32
        • Bech32
        • Bip39
        • Bip44
        • Base58
        • Bip43
          • Bip43-purpose
          • Bip43-export-key
          • Bip43-key-tree-has-purpose-p
          • Bip43-import-key
        • Bytes
        • Base58check
        • Cryptography
        • Bip-350
        • Bip-173
      • Ethereum
      • Yul
      • Zcash
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Number-theory
      • Cryptography
      • Lists-light
      • Builtins
      • Axe
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Bip43

Bip43-export-key

BIP 43 key export.

Signature

(bip43-export-key tree path public?) → exported

Arguments

tree — Guard (bip32-key-treep tree).

path — Guard (ubyte32-listp path).

public? — Guard (booleanp public?).

Returns

exported — Type (byte-listp exported).

[BIP43] prescribes that BIP 32 key serialization be always done with the version numbers of the mainnet, i.e. *bip32-version-priv-main* and *bip32-version-pub-main*.

This function specializes bip32-export-key by eliminating the boolean argument that selects mainnet or testnet, and by passing t as its value to bip32-export-key.

Definitions and Theorems

Function: bip43-export-key

(defun bip43-export-key (tree path public?)
 (declare (xargs :guard (and (bip32-key-treep tree)
                             (ubyte32-listp path)
                             (booleanp public?))))
 (declare
     (xargs :guard (and (bip32-path-in-tree-p path tree)
                        (or public? (bip32-key-tree-priv-p tree)))))
 (bip32-export-key tree path t public?))

Theorem: byte-listp-of-bip43-export-key

(defthm byte-listp-of-bip43-export-key
  (b* ((exported (bip43-export-key tree path public?)))
    (byte-listp exported))
  :rule-classes :rewrite)

Theorem: bip43-export-key-of-bip32-key-tree-fix-tree

(defthm bip43-export-key-of-bip32-key-tree-fix-tree
  (equal (bip43-export-key (bip32-key-tree-fix tree)
                           path public?)
         (bip43-export-key tree path public?)))

Theorem: bip43-export-key-bip32-key-tree-equiv-congruence-on-tree

(defthm bip43-export-key-bip32-key-tree-equiv-congruence-on-tree
  (implies (bip32-key-tree-equiv tree tree-equiv)
           (equal (bip43-export-key tree path public?)
                  (bip43-export-key tree-equiv path public?)))
  :rule-classes :congruence)

Theorem: bip43-export-key-of-ubyte32-list-fix-path

(defthm bip43-export-key-of-ubyte32-list-fix-path
  (equal (bip43-export-key tree (ubyte32-list-fix path)
                           public?)
         (bip43-export-key tree path public?)))

Theorem: bip43-export-key-ubyte32-list-equiv-congruence-on-path

(defthm bip43-export-key-ubyte32-list-equiv-congruence-on-path
  (implies (acl2::ubyte32-list-equiv path path-equiv)
           (equal (bip43-export-key tree path public?)
                  (bip43-export-key tree path-equiv public?)))
  :rule-classes :congruence)

Theorem: bip43-export-key-of-bool-fix-public?

(defthm bip43-export-key-of-bool-fix-public?
  (equal (bip43-export-key tree path (acl2::bool-fix public?))
         (bip43-export-key tree path public?)))

Theorem: bip43-export-key-iff-congruence-on-public?

(defthm bip43-export-key-iff-congruence-on-public?
  (implies (iff public? public?-equiv)
           (equal (bip43-export-key tree path public?)
                  (bip43-export-key tree path public?-equiv)))
  :rule-classes :congruence)