If the antecedent of a conditional is a self-contradiction, then the conditional itself is a:

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In logic, a conditional statement with a self-contradictory antecedent is always true, making the conditional a tautology. This is because a statement that starts with a falsehood (the self-contradiction) cannot lead to a false conclusion in the context of "if...then..." logic, as the initial false premise makes the entire conditional statement true by default.

If the Antecedent of a Conditional Is a Self-Contradiction, Then