I need help verifying my answer. Preview columns: ~(pv~q) ....................1

Question

I need help verifying my answer.



Preview columns:
~(pv~q) ....................1
~(~P^~q) .................2
p v ~ p .....................3
p ^ ~p ......................4
~(p -> q) ..................5
p -> q .......................6

match these with the above:
p ^ ~ q .....................a
contradiction ..............b
tautology ...................c
p v q .........................d
~q -> ~p ...................e
~p ^ q ......................f



right now, I have 1f , 2d, 3c, 4b, 5e, and 6a.

I really can't agree with my matches. I believe I have tautology and contradiction down, but I am still unsure of these matches.

Please verify them. Thank you.

Explanation / Answer

1c , 2d, 3f, 4b, 5a, and 6e.

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