Statements reordered (here you stands for $x, \forall x$): 3. If you are Shakespeare, then you wrote Hamlet. 5. In contrapositive form: If you wrote Hamlet, then you are a true poet. 2. If you are a true poet, then you can stir the human heart. 4. If you can stir the human heart, then you understand human nature. 1. If you understand human nature, then you are clever. Conclusion: $\therefore$ if you are Shakespeare, then you are clever. Shakespeare is clever.
Work Step by Step
Universal transitivity: ∀x,P(x)→Q(x). ∀x,Q(x)→R(x). ∀x,P(x)→R(x).