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• Bip32-index-tree

Bip32-index-treep

Recognizer for bip32-index-tree.

Signature

(bip32-index-treep x) → yes/no

Returns

yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: bip32-index-treep

(defun bip32-index-treep (x)
  (declare (xargs :guard t))
  (and (bip32-path-setp x)
       (not (emptyp x))
       (bip32-path-set-closedp x)))

Theorem: booleanp-of-bip32-index-treep

(defthm booleanp-of-bip32-index-treep
  (b* ((yes/no (bip32-index-treep x)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: bip32-path-setp-when-bip32-index-treep

(defthm bip32-path-setp-when-bip32-index-treep
  (implies (bip32-index-treep x)
           (bip32-path-setp x))
  :rule-classes (:rewrite :forward-chaining))

Theorem: bip32-index-treep-of-singleton-empty-path

(defthm bip32-index-treep-of-singleton-empty-path
  (bip32-index-treep '(nil)))