When to proof P→Q true, we proof P false, that type of proof is known as ___________ans.
Question
When to proof P→Q true, we proof P false, that type of proof is known as ___________ans.
Solution 1
The type of proof where we prove P→Q to be true by proving P to be false is known as Proof by Contrapositive.
Solution 2
The type of proof you're referring to is known as "Proof by Contrapositive". In this method, instead of directly proving P → Q, we prove the contrapositive ¬Q → ¬P. If P is false (or ¬P is true), then Q must also be false for the implication to hold true.
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