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Ubyte12-fix

Fixer for ubyte12.

Function: ubyte12-fix

(defun ubyte12-fix (x)
  (declare (xargs :guard (ubyte12p x)))
  (mbe :logic (if (ubyte12p x) x 0)
       :exec x))

Theorem: ubyte12p-of-ubyte12-fix

(defthm ubyte12p-of-ubyte12-fix
  (b* ((fixed-x (ubyte12-fix x)))
    (ubyte12p fixed-x))
  :rule-classes :rewrite)

Theorem: ubyte12-fix-when-ubyte12p

(defthm ubyte12-fix-when-ubyte12p
  (implies (ubyte12p x)
           (equal (ubyte12-fix x) x)))