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\section{Equivalence (Bonus)}
\section{Equivalence}
\generic{Notation:}
Let $S$ be a structure and $\varphi$ a formula. \par
If $\varphi$ is true in $S$, we write $S \models \varphi$.
If $\varphi$ is true in $S$, we write $S \models \varphi$. \par
This is read \say{$S$ satisfies $\varphi$}
\definition{}
Let $S$ and $T$ be structures. \par