Premises: A car in the garage has an engine problem and Every car in the garage has been sold.
Conclusion: A car has been sold has an engine problem.
Are my premises and proof correct?
2026-03-27 02:34:42.1774578882
Did I correctly translate the premises?
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The second premise ought to instead be: $$\forall x(P(x)\to R(x)).$$
This Answer explains why $∃x(P(x)∧Q(x)),$ yet $∀x(P(x)→R(x)).$