Prove that each wff on the right of a turnstile (+) is the syntactic consequence of the set of wffs to the left of its t

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Prove That Each Wff On The Right Of A Turnstile Is The Syntactic Consequence Of The Set Of Wffs To The Left Of Its T 1 (36.48 KiB) Viewed 18 times

Prove that each wff on the right of a turnstile (+) is the syntactic consequence of the set of wffs to the left of its turnstile, according CP and the the basic rules of derivation: A, DN, MP, MT, &I, &E, and vl. In other words, provide a derivation for each of the following sequents: Once you've completed your proofs - either typed out or nearly hand-written on paper - submit them by uploading them to Canvas through this assignment. 1. (-(R & T) →-S) + (S→ (R & T)) 2. ((R & Q) → S), (-P→(R&Q)) + (-S → P) 3. (QR) + ((-Q→-P) → (P→ R)) 4. (T&U), (R→-S), (P→S), ((-P&T)→Q) + (R→Q) 5. ((P&Q) → (R→S)) + (R→ [(P→Q) → (P→S)])