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Date: 24-1-2022
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Given the statement "if , then ," or , the converse is "if , then ."
For example, the converse of "If a thing is a dog then it is a mammal" is "If a thing is a mammal then it is a dog." The
converse of a theorem is a theorem if and only if and are equivalent, i.e., .
Copi, I. M. and Cohen, C. Introduction to Logic. Englewood Cliffs, NJ: Prentice Hall, 2001.
D'Angelo, J. P. and West, D. B. Mathematical Thinking: Problem-Solving and Proofs, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, pp. 32-35, 2000.
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