S − I :∼ ( ∼ p ↔∼ r ) ≡ p ↔ q S − II :∼ p ↔∼ q ≡ ( p v ∼ q ) ∧ ( q v ∼ p ) Which of the following is true about above two statements S − I and S − II .

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S − I :∼ ( ∼ p ↔∼ q ) ≡∼ {( ∼ p →∼ q ) ∧ ( ∼ q →∼ p )} \ ≡∼ {( p ∨ ∼ q ) ∧ ( q ∨ ∼ p )} ≡ ( ∼ p ∧ q ) ∨ ( ∼ q ∧ p ) But p ↔ q ≡ ( p → q ) ∧ ( q → p ) ≡ ( ∼ p ∨ q ) ∧ ( ∼ q ∨ p ) ∴ S − I is false S − II :∼ p ↔∼ q ≡ ( ∼ p →∼ q ) ∧ ( ∼ q →∼ p ) ≡ ( p ∨ ∼ q ) ∧ ( q ∨ ∼ p ) ∴ S − II is true

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JEE Main (2028)