SOLUTION: COMPLETE THE FOLLOWING PROOFS WITHOUT USING CONDITIONAL PROOF OR INDIRECT PROOF (10 PTS. EACH) PROOF 1: 1. A 2. B / A ≡ B

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Question 1029344: COMPLETE THE FOLLOWING PROOFS WITHOUT USING CONDITIONAL PROOF OR
INDIRECT PROOF (10 PTS. EACH)
PROOF 1:
1. A
2. B / A ≡ B
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
 1.  A
 2.  B   / A≡B

 3. Av~B          1, Addition
 4. Bv~A          2, Addition
 5. ~AvB          4, Commutation
 6. A⊃B           5, Material implication
 7. ~BvA          3, Commutation
 8. B⊃A           7, Material implication
 9. (A⊃B)&(B⊃A)   6,8, Conjunction
10. A≡B           9, Material equivalence

[Note: Some books use -> for ⊃, <-> for ≡,
also •, ⋀, for & (and)]
Edwin