Construct proofs to show that the following symbolic arguments are valid. Commas mark the breaks between premises, ‘∴’ precedes the conclusion. You may use the following rules: MP, MT, DS, HS, CD, Simp, Conj, Add (D • E) ∨ F, F → C, (D • E) → ∼B, (∼B ∨ C) → (A → P), ∼P ∴ ∼A

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Proofs: Construct proofs to show that the following symbolic arguments are valid. Commas mark the breaks between premises, ‘’ precedes the conclusion. You may use the following rules: MP, MT, DS, HS, CD, Simp, Conj, Add

(D • E) ∨ F, F → C, (D • E) → ∼B, (∼B ∨ C) → (A → P), ∼P ∴ ∼A

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