SOLUTION: show the proof: (P->Q) & (P->R) conclusion: P-> (Q&R)

Algebra ->  Proofs -> SOLUTION: show the proof: (P->Q) & (P->R) conclusion: P-> (Q&R)      Log On


   

Question 949239: show the proof:
(P->Q) & (P->R)
conclusion:
P-> (Q&R)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
The attached truth tables gives you the solution.
If the truth tables are identical, then the conditions are equivalent.
The if and only if test is all true is they the truth tables are identical.
truth table is shown below:
you need 2^n number of rows.
2^3 = 8 which is why the table has 8 rows.
$$$