Prove: P (Q&R), P P&Q 2. Prove: P(Q v R), R P 3. Formalize and prove the following argument. Your ankle is swollen. If your ankle is swollen and you...
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1. Prove: P® (Q&R), P ├ P&Q




2.

Prove: P«(Q v R), R ├ P




3. Formalize and prove the following argument.

           Your ankle is swollen.

           If your ankle is swollen and you keep running, then it will not heal in a week.

           If your ankle does not heal in a week, then you will not be able to run in the race.

            If you keep running, then you won't be able to run in the race.




4. Prove the theorem: ├ Pv~P




5. Prove the equivalence: ├ (P&Q)«(Q&P)




***disclaimer*** I would like to compare my work. not to use submit as my own. thank you!

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