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• Bip32-wallet-structure

Bip32-compliant-addresses-p

Check if the address keys under a given chain key in a tree comply with the BIP 32 wallet structure.

This is obtained by existentially quantifying the address index limit in bip32-compliant-addresses-for-limit-p. See the documentation of that function for details.

Definitions and Theorems

Theorem: bip32-compliant-addresses-p-suff

(defthm bip32-compliant-addresses-p-suff
 (implies
      (and (natp address-index-limit)
           (bip32-compliant-addresses-for-limit-p
                tree account-index
                chain-index address-index-limit))
      (bip32-compliant-addresses-p tree account-index chain-index)))

Theorem: booleanp-of-bip32-compliant-addresses-p

(defthm booleanp-of-bip32-compliant-addresses-p
 (b*
  ((yes/no
      (bip32-compliant-addresses-p tree account-index chain-index)))
  (booleanp yes/no))
 :rule-classes :rewrite)

Theorem: bip32-compliant-addresses-p-of-bip32-key-tree-fix-tree

(defthm bip32-compliant-addresses-p-of-bip32-key-tree-fix-tree
 (equal
      (bip32-compliant-addresses-p (bip32-key-tree-fix tree)
                                   account-index chain-index)
      (bip32-compliant-addresses-p tree account-index chain-index)))

Theorem: bip32-compliant-addresses-p-bip32-key-tree-equiv-congruence-on-tree

(defthm
 bip32-compliant-addresses-p-bip32-key-tree-equiv-congruence-on-tree
 (implies
   (bip32-key-tree-equiv tree tree-equiv)
   (equal
        (bip32-compliant-addresses-p tree account-index chain-index)
        (bip32-compliant-addresses-p
             tree-equiv account-index chain-index)))
 :rule-classes :congruence)

Theorem: bip32-compliant-addresses-p-of-ubyte32-fix-account-index

(defthm bip32-compliant-addresses-p-of-ubyte32-fix-account-index
 (equal
      (bip32-compliant-addresses-p tree (ubyte32-fix account-index)
                                   chain-index)
      (bip32-compliant-addresses-p tree account-index chain-index)))

Theorem: bip32-compliant-addresses-p-ubyte32-equiv-congruence-on-account-index

(defthm
 bip32-compliant-addresses-p-ubyte32-equiv-congruence-on-account-index
 (implies
   (acl2::ubyte32-equiv account-index account-index-equiv)
   (equal
        (bip32-compliant-addresses-p tree account-index chain-index)
        (bip32-compliant-addresses-p
             tree account-index-equiv chain-index)))
 :rule-classes :congruence)

Theorem: bip32-compliant-addresses-p-of-ubyte32-fix-chain-index

(defthm bip32-compliant-addresses-p-of-ubyte32-fix-chain-index
 (equal
      (bip32-compliant-addresses-p
           tree
           account-index (ubyte32-fix chain-index))
      (bip32-compliant-addresses-p tree account-index chain-index)))

Theorem: bip32-compliant-addresses-p-ubyte32-equiv-congruence-on-chain-index

(defthm
 bip32-compliant-addresses-p-ubyte32-equiv-congruence-on-chain-index
 (implies
   (acl2::ubyte32-equiv chain-index chain-index-equiv)
   (equal
        (bip32-compliant-addresses-p tree account-index chain-index)
        (bip32-compliant-addresses-p
             tree account-index chain-index-equiv)))
 :rule-classes :congruence)