If the conditional is true…
then the contrapositive is true.
If the conditional statement is true, it means that the statement or proposition that follows it will also be true. A conditional statement is a statement in the form If A, then B. If A is true, then B is true. However, if A is false, then B may or may not be true.
For example, consider the statement If it is raining outside, then the ground is wet. If it is indeed raining outside, then we can conclude that the ground is wet. However, if it is not raining outside, we cannot conclude anything about the wetness of the ground – it could be wet for other reasons or completely dry.
In summary, if the conditional is true, it means that the consequent (B) must be true if the antecedent (A) is true, but we cannot make any conclusion about B if A is false.
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