Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Appendix A - The Language of Mathematics - Preliminary Questions - Page A5: 3


$\neg B \Longrightarrow \neg A$ is automatically true.

Work Step by Step

Since $A \Longrightarrow B$ is true, then the contrapositive is true, that is, $\neg B \Longrightarrow \neg A$ is automatically true. The converse may or may not be true. (See the discussion on page A4.)
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