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• Bip43-purpose

Bip43-purpose-fix

Fixer for bip43-purpose.

Signature

(bip43-purpose-fix x) → fixed-x

Arguments

x — Guard (bip43-purposep x).

Returns

fixed-x — Type (bip43-purposep fixed-x).

Definitions and Theorems

Function: bip43-purpose-fix

(defun bip43-purpose-fix (x)
  (declare (xargs :guard (bip43-purposep x)))
  (mbe :logic (if (bip43-purposep x) x 1)
       :exec x))

Theorem: bip43-purposep-of-bip43-purpose-fix

(defthm bip43-purposep-of-bip43-purpose-fix
  (b* ((fixed-x (bip43-purpose-fix x)))
    (bip43-purposep fixed-x))
  :rule-classes :rewrite)

Theorem: bip43-purpose-fix-when-bip43-purposep

(defthm bip43-purpose-fix-when-bip43-purposep
  (implies (bip43-purposep x)
           (equal (bip43-purpose-fix x) x)))