Steps for Solving Symbolic Logic Proofs

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The discussion centers on a logical proof involving several assumptions: G→(PVE), P→N, E→C, and -(NVC). The initial steps taken include listing these assumptions, with a suggestion to apply De Morgan’s Law to the negation of NVC. Participants emphasize the importance of utilizing the idempotent property of "and," Modus Tollens, and De Morgan's Law again to progress in the proof. There is a query about the specific logical system being used, such as natural deduction or truth tables, which may influence the approach to solving the proof. The conversation highlights the need for clarity on the rules of the logical system in use to effectively advance the proof.
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Can someone help with this proof:

G→(PVE), P→N, E→C, -(NVC) ㅏ-G

This is what I have done so far
1 (1) G→(PVE) Assumption
2 (2) P→N Assumption
3 (3) E→C Assumption
4 (4) -(NVC) Assumption

what do I do if here?
 
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Start by using De Morgan’s Law on -(NVC).

Hint you’re also going to have to use:

The idempotent property (or reduction or elimination, there’s a lot of names for it) of “and”
Modus Tollens
De Morgan's Law again.
 
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What system have you been given to work in? Natural deduction? if so, what rules? Truth-tables? Or something else?
 

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