The logic for proof by contradiction on a proposition is: Assume the negation of the proposition is true and verify it is false. Therefore by the T.T. the proposition is true. Assume the negation of the proposition is true and verify it is true. Therefore by the T.T. the proposition is true. Assume not q is true and show not p is true. Therefore by the T.T. the proposition is true. Assume not p and show not q is true. Therefore by the T.T. the proposition is true.

Advanced Engineering Mathematics
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ISBN:9780470458365
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The logic for proof by contradiction on a proposition is:

Assume the negation of the proposition is true and verify it is false. Therefore by the T.T. the proposition is true.

Assume the negation of the proposition is true and verify it is true. Therefore by the T.T. the proposition is true.

Assume not q is true and show not p is true. Therefore by the T.T. the proposition is true.

Assume not p and show not q is true. Therefore by the T.T. the proposition is true.

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