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Question

. (A v B) ⊃ (C . D)        Premise

2. C ⊃ ~

D                             Premise/ Show ~ A

3. A                    Assumption for purposes of indirect proof

4. ____                 3, Add

5. C . D                                  1, 4, MP

6. C                    5, Simp

7. ~ D                                      ____

8. D                    8, Simp

9. D . ~ D                7, 8, Conj

10. A ⊃ (D . ~ D)          3- 9, Indirect Proof

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