Sentence 𝑋 is said to entail Sentence π‘Œ if whenever 𝑋 is π‘‡π‘…π‘ˆπΈ, π‘Œ also…

GATE Β· 2026 Β· DA Β· Data Science & AI

Sentence 𝑋 is said to entail Sentence π‘Œ if whenever 𝑋 is π‘‡π‘…π‘ˆπΈ, π‘Œ also must hold π‘‡π‘…π‘ˆπΈ. Which of the following statements is/are correct if 𝑋 entails π‘Œ?

  1. A.

    𝑋 β‡’ π‘Œ

  2. B.

    𝑋 β‹€Β¬π‘Œ is 𝐹𝐴𝐿𝑆𝐸

  3. C.

    if 𝑋 then π‘Œ

  4. D.

    if π‘Œ then 𝑋

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