22. Is this statement valid? If it rains, it pours. It did not pour, so it did not rain

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 36E: Prove or disprove that AB=AC implies B=C.
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22. Is this statement valid?

If it rains, it pours. It did not pour, so it did not rain.

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