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Contrapositive

Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

Note: As in the example, the contrapositive of any true proposition is also true.

 

 

See also

Converse, inverse of a conditional, biconditional

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