Sorry my title is a bit vague, but I have a specific problem I'm trying to solve.
$$P \rightarrow Q \vdash \lnot(P\land\lnot Q)$$
I need to prove this using natural deduction, I can do it using equivalent symbols in propositional logic, but I can't seem to figure out where to even begin in terms of natural deduction.
I (mostly) understand the introduction and elimination rules for connectives, but I just don't know what to do here. I know I've got to turn the premise into the conclusion step by step using introduction and elimination of these logical connectives, but how?