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Sbyte64-fix

Fixer for sbyte64.

Function: sbyte64-fix

(defun sbyte64-fix (x)
  (declare (xargs :guard (sbyte64p x)))
  (mbe :logic (if (sbyte64p x) x 0)
       :exec x))

Theorem: sbyte64p-of-sbyte64-fix

(defthm sbyte64p-of-sbyte64-fix
  (b* ((fixed-x (sbyte64-fix x)))
    (sbyte64p fixed-x))
  :rule-classes :rewrite)

Theorem: sbyte64-fix-when-sbyte64p

(defthm sbyte64-fix-when-sbyte64p
  (implies (sbyte64p x)
           (equal (sbyte64-fix x) x)))