Proof Exercise

Proof Exercise

  • Prove following statements using indirect proof.Premise 1: If Bob arrives on time for work, then he woke up on schedule.Premise 2: If he wakes up on time, then his alarm rang.Premise 3: If his alarm rings, then the power did not fail.Theorem: If the power fails, then Bob will be late for work.Given: The power fails.Prove: Bob will be late for work.Proof __________________________

    Statements Reasons
    1. The power fails.
    2. Assume Bob arrives on time for work.
    3. He woke up on schedule.
    4. His alarm rang.
    5. The power did not fail.
    6. Given
    7. ____________________
    8. ____________________
    9. ____________________
    10. ____________________

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