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• Oct-digit

Oct-digit-fix

Fixer for oct-digit.

Signature

(oct-digit-fix x) → fixed-x

Arguments

x — Guard (oct-digitp x).

Returns

fixed-x — Type (oct-digitp fixed-x).

Definitions and Theorems

Function: oct-digit-fix

(defun oct-digit-fix (x)
  (declare (xargs :guard (oct-digitp x)))
  (mbe :logic (if (oct-digitp x) x (char-code #\0))
       :exec x))

Theorem: oct-digitp-of-oct-digit-fix

(defthm oct-digitp-of-oct-digit-fix
  (b* ((fixed-x (oct-digit-fix x)))
    (oct-digitp fixed-x))
  :rule-classes :rewrite)

Theorem: oct-digit-fix-when-oct-digitp

(defthm oct-digit-fix-when-oct-digitp
  (implies (oct-digitp x)
           (equal (oct-digit-fix x) x)))