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Methods of Proof: Vacuous Proof

THIS IS __NOT__ HOMEWORK! This is a practice problem from our textbook. Class link: Discrete Math I

Attachment 25446

1) "By the definition of R we see that there are no ordered pairsin R where the first entry of one and the second entry of another is the

same..."

I do not understand what the definition of R is, nor what they mean by the first entry of one and the second entry of another is the same.

2) "...so the hypothesis, ..., cannot be true."

Maybe because I do not understand #1 above, I also do not understand this conclusion.

3) "...this shows that the implication is true"

I obviously do not understand this either.

Any clarification would be greatly appreciated. Thank you!

Re: Methods of Proof: Vacuous Proof

Re: Methods of Proof: Vacuous Proof