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Sbyte32-fix

Fixer for sbyte32.

Function: sbyte32-fix

(defun sbyte32-fix (x)
  (declare (xargs :guard (sbyte32p x)))
  (mbe :logic (if (sbyte32p x) x 0)
       :exec x))

Theorem: sbyte32p-of-sbyte32-fix

(defthm sbyte32p-of-sbyte32-fix
  (b* ((fixed-x (sbyte32-fix x)))
    (sbyte32p fixed-x))
  :rule-classes :rewrite)

Theorem: sbyte32-fix-when-sbyte32p

(defthm sbyte32-fix-when-sbyte32p
  (implies (sbyte32p x)
           (equal (sbyte32-fix x) x)))