Contrapositive (in mathematics and logics)
The Contrapositive: An Interactive Guide Unlock a fundamental concept in logic and math. What is a Contrapositive? In logic, every conditional statement of the form "If P, then Q" has a special partner called the contrapositive . The most important thing to remember is that a statement and its contrapositive are logically equivalent — if one is true, the other is guaranteed to be true as well. A conditional statement has two parts: the hypothesis (P) and the conclusion (Q) . To get the contrapositive, you simply swap the hypothesis and conclusion, and then negate both of them. Original Statement P → Q "If P, then Q" ...