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 F →A, ~J • ~K, H → (G → F), ~K  →(~J  →H) ∴ G →A

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A: P1: ∀x. P(x) → Q(x) Explain: For all x, P(x) is valid, so Q(x) is valid. Rule: MP (Modus Ponens)

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