The only time a conditional statement is false is when the antecedent is true and the conclusion is false.

Name: The only time a conditional statement is false is when the antecedent is true and the conclusion is false.
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In logic, a conditional statement is false only if the antecedent (the "if" part) is true and the consequent (the "then" part) is false; in all other cases, it is considered true.

The Only Time a Conditional Statement Is False Is When