• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
    • Apt
    • Zfc
    • Acre
    • Milawa
    • Smtlink
    • Abnf
    • Vwsim
    • Isar
    • Wp-gen
    • Dimacs-reader
    • Pfcs
    • Legacy-defrstobj
    • C
    • Proof-checker-array
    • Soft
    • Farray
    • Rp-rewriter
    • Instant-runoff-voting
    • Imp-language
    • Sidekick
    • Ethereum
    • Leftist-trees
    • Java
    • Riscv
    • Taspi
    • Bitcoin
      • Bip32
      • Bech32
      • Bip39
      • Bip44
        • Bip44-compliant-addresses-for-limit-p
        • Bip44-compliant-chains-p
        • Bip44-compliant-accounts-for-limit-p
        • Bip44-compliant-addresses-p
        • Bip44-compliant-coins-for-set-p
        • Bip44-compliant-tree-p
        • Bip44-compliant-accounts-p
        • Bip44-compliant-coins-p
        • Bip44-compliant-depth-p
        • Bip44-coin-type-set
        • Bip44-coin-types
        • *bip44-purpose*
      • Base58
      • Bip43
      • Bytes
      • Base58check
      • Cryptography
      • Bip-350
      • Bip-173
    • Zcash
    • Des
    • X86isa
    • Sha-2
    • Yul
    • Proof-checker-itp13
    • Regex
    • ACL2-programming-language
    • Json
    • Jfkr
    • Equational
    • Cryptography
    • Axe
    • Poseidon
    • Where-do-i-place-my-book
    • Aleo
    • Bigmems
    • Builtins
    • Execloader
    • Solidity
    • Paco
    • Concurrent-programs
    • Bls12-377-curves
  • Debugging
  • Community
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Bip44

Bip44-compliant-accounts-p

Check if the account keys in a tree comply with the BIP 44 wallet structure.

This is similar to bip44-compliant-addresses-p.

Definitions and Theorems

Theorem: bip44-compliant-accounts-p-suff

(defthm bip44-compliant-accounts-p-suff
  (implies (and (natp account-index-limit)
                (bip44-compliant-accounts-for-limit-p
                     tree coin-index account-index-limit))
           (bip44-compliant-accounts-p tree coin-index)))

Theorem: booleanp-of-bip44-compliant-accounts-p

(defthm booleanp-of-bip44-compliant-accounts-p
  (b* ((yes/no (bip44-compliant-accounts-p tree coin-index)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: bip44-compliant-accounts-p-of-bip32-key-tree-fix-tree

(defthm bip44-compliant-accounts-p-of-bip32-key-tree-fix-tree
  (equal (bip44-compliant-accounts-p (bip32-key-tree-fix tree)
                                     coin-index)
         (bip44-compliant-accounts-p tree coin-index)))

Theorem: bip44-compliant-accounts-p-bip32-key-tree-equiv-congruence-on-tree

(defthm
 bip44-compliant-accounts-p-bip32-key-tree-equiv-congruence-on-tree
 (implies
      (bip32-key-tree-equiv tree tree-equiv)
      (equal (bip44-compliant-accounts-p tree coin-index)
             (bip44-compliant-accounts-p tree-equiv coin-index)))
 :rule-classes :congruence)

Theorem: bip44-compliant-accounts-p-of-ubyte32-fix-coin-index

(defthm bip44-compliant-accounts-p-of-ubyte32-fix-coin-index
  (equal (bip44-compliant-accounts-p tree (ubyte32-fix coin-index))
         (bip44-compliant-accounts-p tree coin-index)))

Theorem: bip44-compliant-accounts-p-ubyte32-equiv-congruence-on-coin-index

(defthm
  bip44-compliant-accounts-p-ubyte32-equiv-congruence-on-coin-index
  (implies
       (acl2::ubyte32-equiv coin-index coin-index-equiv)
       (equal (bip44-compliant-accounts-p tree coin-index)
              (bip44-compliant-accounts-p tree coin-index-equiv)))
  :rule-classes :congruence)