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Sbyte8-fix

Fixer for sbyte8.

Function: sbyte8-fix

(defun sbyte8-fix (x)
  (declare (xargs :guard (sbyte8p x)))
  (mbe :logic (if (sbyte8p x) x 0)
       :exec x))

Theorem: sbyte8p-of-sbyte8-fix

(defthm sbyte8p-of-sbyte8-fix
  (b* ((fixed-x (sbyte8-fix x)))
    (sbyte8p fixed-x))
  :rule-classes :rewrite)

Theorem: sbyte8-fix-when-sbyte8p

(defthm sbyte8-fix-when-sbyte8p
  (implies (sbyte8p x)
           (equal (sbyte8-fix x) x)))