A proof that p → q is true based on the fact that q is true, such proofs are known as ___________a.Trivial proofb.Contrapositive proofsc.Direct proofd.Proof by cases
Question
A proof that p → q is true based on the fact that q is true, such proofs are known as ___________a.Trivial proofb.Contrapositive proofsc.Direct proofd.Proof by cases
Solution
The answer is a. Trivial proof. This type of proof is used when the conclusion (q) is known to be true, making the implication (p → q) true regardless of whether p is true or false.
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The contrapositive of p → q is the proposition of
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