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Solve the following derivation once using only basic rules, and then again using only derived rules. Basic Rules: &I, &EL, &ER, vIL, vIR, vE, ->I,

Solve the following derivation once using only basic rules, and then again using only derived rules.

Basic Rules:

&I, &EL, &ER, vIL, vIR, vE, ->I, ->E, ~I, FolsumI, ~E, Folsum E

Derived Rules:

DNE, DNI, Comm&, CommV, DEM, DSL, DSR, MT, Trans, HS, DEF->E, DEF->I

(P -> Q) Premise
(P -> R) Premise
(P v ~Q) Premise

(Q -> R) Conclusion

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