>[!info] Definition
>$\begin{gathered}
\mathcal{M}\vDash Ixy\varphi\left(x,\bar{b}\right)\psi\left(y,\bar{b}\right)\iff\\
\left|\left\{ a\in M\mid\mathcal{M}\vDash\varphi\left(a,\bar{b}\right)\right\} \right|=\left|\left\{ a\in M\mid\mathcal{M}\vDash\psi\left(a,\bar{b}\right)\right\} \right|
\end{gathered}$