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Use abbreviated truth tables to show that the following arguments are valid.

Use abbreviated truth tables to show that the following arguments are valid.


∼[(J • K) → (M ∨ N)] ∴ K • N


A → B, C → ∼D, ∼B ∨ D ∴ ∼A ↔ ∼C


(G → E) ↔ S, ∼(S ∨ H), ∼(P • ∼H) ∴ G • E


(F ∨ E) → ~D, S ∨ D, E ∴ S


(A • E) → F, E, F → (D • ~C), A ∴ ~C


 C → (T → L), ~L, ~E → C, L ∨ ~E ∴ ~T

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