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Base58-value

Base58-value-fix

Fixer for base58-value.

Signature
(base58-value-fix x) → fixed-x
Arguments: x — Guard (base58-valuep x).
Returns: fixed-x — Type (base58-valuep fixed-x).

Definitions and Theorems

Function: base58-value-fix

(defun base58-value-fix (x)
  (declare (xargs :guard (base58-valuep x)))
  (let ((__function__ 'base58-value-fix))
    (declare (ignorable __function__))
    (dab-digit-fix 58 x)))

Theorem: base58-valuep-of-base58-value-fix

(defthm base58-valuep-of-base58-value-fix
  (b* ((fixed-x (base58-value-fix x)))
    (base58-valuep fixed-x))
  :rule-classes :rewrite)

Theorem: natp-of-base58-value-fix

(defthm natp-of-base58-value-fix
  (b* ((fixed-x (base58-value-fix x)))
    (natp fixed-x))
  :rule-classes :type-prescription)

Theorem: base58-value-fix-upper-bound

(defthm base58-value-fix-upper-bound
  (b* ((fixed-x (base58-value-fix x)))
    (< fixed-x 58))
  :rule-classes :linear)

Theorem: base58-value-fix-when-base58-valuep

(defthm base58-value-fix-when-base58-valuep
  (implies (base58-valuep x)
           (equal (base58-value-fix x) x)))