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Sbyte1-fix

Fixer for sbyte1.

Function: sbyte1-fix

(defun sbyte1-fix (x)
  (declare (xargs :guard (sbyte1p x)))
  (mbe :logic (if (sbyte1p x) x 0)
       :exec x))

Theorem: sbyte1p-of-sbyte1-fix

(defthm sbyte1p-of-sbyte1-fix
  (b* ((fixed-x (sbyte1-fix x)))
    (sbyte1p fixed-x))
  :rule-classes :rewrite)

Theorem: sbyte1-fix-when-sbyte1p

(defthm sbyte1-fix-when-sbyte1p
  (implies (sbyte1p x)
           (equal (sbyte1-fix x) x)))