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• 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)