#1. Use propositional logic to prove the following argument is valid.
If Alice gets the office position and works hard, then she will get a bonus. If she gets a bonus, then she will go on a trip. She did not go on a trip. Therefore, either she did not get the office position or she did not work hard or she was late too many times.
Define your propositions [5 points]:
O =
W =
B =
T =
L =
Write down the logical argument [8 points]:
Proof sequence [12 points]:
Steps: Reason:
1.
2.
3.
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