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Sbyte16-fix

Fixer for sbyte16.

Function: sbyte16-fix

(defun sbyte16-fix (x)
  (declare (xargs :guard (sbyte16p x)))
  (mbe :logic (if (sbyte16p x) x 0)
       :exec x))

Theorem: sbyte16p-of-sbyte16-fix

(defthm sbyte16p-of-sbyte16-fix
  (b* ((fixed-x (sbyte16-fix x)))
    (sbyte16p fixed-x))
  :rule-classes :rewrite)

Theorem: sbyte16-fix-when-sbyte16p

(defthm sbyte16-fix-when-sbyte16p
  (implies (sbyte16p x)
           (equal (sbyte16-fix x) x)))