1. U v (~U > ~B) 2. ~B > (R > U) 3. ~U / ~R 4. ~U > ~B 1,3, Disjunctive Syllogism 5. ~B 4,3, Modus Ponens 6. R > U 2,5, Modus Ponens 7. ~R 6,3, Modus Tollens Edwin