From tensor calculus, we know that

\begin{equation}
g^{\mu\nu}=\delta_{\lambda}^{\mu}\delta_{\phi}^{\nu}g^{\lambda\phi}.\tag{1}
\end{equation}
Based on (1), is the following true?
\begin{equation}
g^{\mu\nu}g_{\lambda\phi}^{}=\delta_{\lambda}^{\mu}\delta_{\phi}^{\nu}.\tag{2}
\end{equation}