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If you live in New York, then you live in America.
\Hypothesis: If you live in New York.
\The hypothesis is true.
\Conclusion: then you live in America.
\The conclusion is not true.
\The statement is false.
\Counterexample:
\One could live in America without living in New York.
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The statement is false.
\One could live in America without living in New York.