This is an inequality, which stems from the fact that the function $y\mapsto|x-y|^{-t}\mathbf 1_{|x-y|\gt1}$ is uniformly bounded by $1$ hence its integral is at most $\mu(\mathbb R^n)$.
This is an equality, which stems from the fact that $\mu$ is the restriction of $\mathcal H^s$ to $E\subseteq F$.
This is an inequality, which stems from the fact that the function $y\mapsto|x-y|^{-t}\mathbf 1_{|x-y|\gt1}$ is uniformly bounded by $1$ hence its integral is at most $\mu(\mathbb R^n)$.
This is an equality, which stems from the fact that $\mu$ is the restriction of $\mathcal H^s$ to $E\subseteq F$.