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A proof broken into distinct cases, where these cases cover all prospects, such proofs are known as ___________

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A proof broken into distinct cases, where these cases cover all prospects, such proofs are known as ___________

(a) Direct proof

(b) Contrapositive proofs

(c) Vacuous proof

(d) Proof by cases

This question was addressed to me in my homework.

I want to ask this question from Types of Proofs in chapter The Foundation: Logics and Proofs of Discrete Mathematics

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Right answer is (c) Vacuous proof

Best explanation: Definition of proof by cases.

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