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Ubyte3-fix

Fixer for ubyte3.

Function: ubyte3-fix

(defun ubyte3-fix (x)
  (declare (xargs :guard (ubyte3p x)))
  (mbe :logic (if (ubyte3p x) x 0)
       :exec x))

Theorem: ubyte3p-of-ubyte3-fix

(defthm ubyte3p-of-ubyte3-fix
  (b* ((fixed-x (ubyte3-fix x)))
    (ubyte3p fixed-x))
  :rule-classes :rewrite)

Theorem: ubyte3-fix-when-ubyte3p

(defthm ubyte3-fix-when-ubyte3p
  (implies (ubyte3p x)
           (equal (ubyte3-fix x) x)))