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Jun 3 at 16:49 comment added Dan Christensen It takes practice to be able to recognize what to do next. Start by doing simpler problems, gradually increasing the level of difficulty. If the solution is not immediately apparent, I usually start by entering the required theorem into a proof checker as an axiom or premise. Then, by a process resembling trial and error, I apply various rules of inference to parts of that statement. Hopefully, the solution will just come to you.
Jun 3 at 16:38 vote accept Danilo Jonić
Jun 3 at 3:46 history became hot network question
Jun 2 at 21:11 answer added Naïm Favier timeline score: 5
Jun 2 at 20:15 comment added PW_246 Unfortunately, without the rules of your system being listed, it’s hard to say how you should proceed. The general idea is that since you’re proving a conjunction, you need to be able to prove both conjuncts. Your elimination rules will be on your premises, and the introduction rules will be for sub-conclusions or your conclusion. You’ll want to do $\lor$ elimination on $\neg (q \to r) \lor t$. For the second one, you’ll want to use double negation elimination, since you’ll want to show that $\neg p$ leads to a contradiction.
Jun 2 at 19:44 history asked Danilo Jonić CC BY-SA 4.0