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• Bip32-key-trees

Bip32-key-tree-priv-p

Check if a key tree consists of private keys.

Signature

(bip32-key-tree-priv-p tree) → yes/no

Arguments

tree — Guard (bip32-key-treep tree).

Returns

yes/no — Type (booleanp yes/no).

We check whether the root is an extended private key.

Definitions and Theorems

Function: bip32-key-tree-priv-p

(defun bip32-key-tree-priv-p (tree)
  (declare (xargs :guard (bip32-key-treep tree)))
  (bip32-ext-key-case (bip32-key-tree->root-key tree)
                      :priv))

Theorem: booleanp-of-bip32-key-tree-priv-p

(defthm booleanp-of-bip32-key-tree-priv-p
  (b* ((yes/no (bip32-key-tree-priv-p tree)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: bip32-key-tree-priv-p-of-bip32-key-tree-fix-tree

(defthm bip32-key-tree-priv-p-of-bip32-key-tree-fix-tree
  (equal (bip32-key-tree-priv-p (bip32-key-tree-fix tree))
         (bip32-key-tree-priv-p tree)))

Theorem: bip32-key-tree-priv-p-bip32-key-tree-equiv-congruence-on-tree

(defthm
      bip32-key-tree-priv-p-bip32-key-tree-equiv-congruence-on-tree
  (implies (bip32-key-tree-equiv tree tree-equiv)
           (equal (bip32-key-tree-priv-p tree)
                  (bip32-key-tree-priv-p tree-equiv)))
  :rule-classes :congruence)