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Sbyte3-fix

Fixer for sbyte3.

Function: sbyte3-fix

(defun sbyte3-fix (x)
  (declare (xargs :guard (sbyte3p x)))
  (mbe :logic (if (sbyte3p x) x 0)
       :exec x))

Theorem: sbyte3p-of-sbyte3-fix

(defthm sbyte3p-of-sbyte3-fix
  (b* ((fixed-x (sbyte3-fix x)))
    (sbyte3p fixed-x))
  :rule-classes :rewrite)

Theorem: sbyte3-fix-when-sbyte3p

(defthm sbyte3-fix-when-sbyte3p
  (implies (sbyte3p x)
           (equal (sbyte3-fix x) x)))