4. R v X 1, DI (Disjunction Introduction, or "Addition": if A then certainly "A or B" is also true)
5. ~(~R • ~X) 4, DeM (DeMorgan's: a v b <==> ~(~a • ~b))
6. ~K 5,2 MT (Modus Tollens)
7. J v Z 6,3 DS (Disjunctive Syllogism)
8. Z v J 7 COMM (Commutation: A v B <==> B v A)