1. D v C
2. C > (F v D)
3. ~F
conclusion: D
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4. ~~C > (F v D) 2 Double Negation
5. ~C v (F v D) 4 Material Implication
6. ~C v (D v F) 5 Commutation
7. (~C v D) v F 6 Association
8. (C > D) v F 7 Material Implication
9. F v (C > D) 8 Commutation
10. ~~F v (C > D) 9 Double Negation
11. C > D 10,3 Disjunctive Syllogism
12. ~~D v C 1 Double Negation
13. ~D > C 12 Material Implication
14. ~D > D 13,11 Hypothetical Syllogism
15. ~~D v D 14 Material Implication
16. D v D 15 Double Negation
17. D 16 Tautology