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  1. \item \self Consider a formula $\varphi$ in propositional logic. In the
  2. following list, tick all statements that are true.
  3. \begin{itemize}
  4. \item[$\square$] If $\varphi$ is a tautology, a falsifying model can be found.
  5. \item[$\ticked$] If $\varphi$ is equivalent to $\psi$, a satisfying model for $\varphi$ always satisfies $\psi$.
  6. \item[$\square$] If $\varphi$ has no satisfying model, it is called a tautology.
  7. \item[$\square$] If $\varphi$ semantically entails $\psi$, a satisfying model for $\psi$ always satisfies $\varphi$.
  8. \end{itemize}