SOLUTION: 1) A v B 2) B > (A v D) 3) ~D Conclusion: A

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Question 1112733: 1) A v B
2) B > (A v D)
3) ~D
Conclusion: A

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
1) A v B
2) B > (A v D)
3) ~D
Conclusion: A
========================

1. AvB Premise
2. B—>(AvD) Premise
3. ~D Premise
4. :: B Assumption, begin conditional proof (CP) - Case 1
5. :: AvD 4,2 Modus Ponens (MP)
6. :: A 3,5 Disjunctive Syllogism (DS)
7. :: ~B Assumption. Case 2
8. :: A 7,1 DS
9. A 6,8 Proof By Cases (PBC), end of CP, (A is true under no assumptions)

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