When to proof P→Q true, we proof P false, that type of proof is known as ___________ ans. Direct proof Vacuous proof Contrapositive proofs Mathematical Induction
Question
When to proof P→Q true, we proof P false, that type of proof is known as ___________ ans. Direct proof
Vacuous proof
Contrapositive proofs
Mathematical Induction
Solution
The type of proof you're referring to is known as a Vacuous proof. In a vacuous proof, if the hypothesis P of an implication P→Q is false, then the implication is said to be vacuously or trivially true.
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