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Ubyte2-fix

Fixer for ubyte2.

Function: ubyte2-fix

(defun ubyte2-fix (x)
  (declare (xargs :guard (ubyte2p x)))
  (mbe :logic (if (ubyte2p x) x 0)
       :exec x))

Theorem: ubyte2p-of-ubyte2-fix

(defthm ubyte2p-of-ubyte2-fix
  (b* ((fixed-x (ubyte2-fix x)))
    (ubyte2p fixed-x))
  :rule-classes :rewrite)

Theorem: ubyte2-fix-when-ubyte2p

(defthm ubyte2-fix-when-ubyte2p
  (implies (ubyte2p x)
           (equal (ubyte2-fix x) x)))