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Match the following:

 List-I List-II a. Vacuous proof i. A proof that the implication $p \rightarrow q$ is true based on the fact that $p$ is false b. Trivial proof ii. A proof that the implication $p \rightarrow q$ is true based on the fact that $q$ is true c. Direct proof iii. A proof that the implication $p \rightarrow q$ is true that proceeds by showing that $q$ must be true when $p$ is true d. Indirect proof iv. A proof that the implication $p \rightarrow q$ is true that proceeds by showing that $p$ must be false when $q$ is false
1. a-i, b-ii, c-iii, d-iv
2. a-ii, b-iii, c-i, d-iv
3. a-iii, b-ii, c-iv, d-i
4. a-iv, b-iii, c-ii, d-i
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answered by Veteran (52.9k points) 21 72 325
cms.uhd.edu/faculty/delavinae/F10/Math2405F10/Methods%20of%20Proofs.pdf

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