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• Bip32-index-tree

Bip32-index-tree-fix

Fixer for bip32-index-tree.

Signature

(bip32-index-tree-fix x) → fixed-x

Arguments

x — Guard (bip32-index-treep x).

Returns

fixed-x — Type (bip32-index-treep fixed-x).

Definitions and Theorems

Function: bip32-index-tree-fix

(defun bip32-index-tree-fix (x)
  (declare (xargs :guard (bip32-index-treep x)))
  (mbe :logic (if (bip32-index-treep x) x (list nil))
       :exec x))

Theorem: bip32-index-treep-of-bip32-index-tree-fix

(defthm bip32-index-treep-of-bip32-index-tree-fix
  (b* ((fixed-x (bip32-index-tree-fix x)))
    (bip32-index-treep fixed-x))
  :rule-classes :rewrite)

Theorem: bip32-index-tree-fix-when-bip32-index-treep

(defthm bip32-index-tree-fix-when-bip32-index-treep
  (implies (bip32-index-treep x)
           (equal (bip32-index-tree-fix x) x)))