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 (M ∨ N) → ∼S, T → (M ∨ N), ∼S → ∼(M ∨ N) ∴ T → ∼(M ∨ N)

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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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

(M ∨ N) → ∼S, T → (M ∨ N), ∼S → ∼(M ∨ N) ∴ T → ∼(M ∨ N) 

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