This is what my document looks like so far:

What I want is to have an indent at the line "I" is a subset of I'...". How do I do that within an item of an enumeration?
This is my code:
\begin{enumerate}
\item \leavevmode
\begin{enumerate}
\item $I^\prime$ is the domain of $f^\prime$. $I^{\prime\prime}$ is the domain of $f^{\prime\prime}$. Partial function $f^\prime$ extends partial function $f^{\prime\prime}$ if: \\ $I^{\prime\prime}$ is a subset of $I^\prime$ where for all $x \in I^{\prime\prime}$, $f^{\prime\prime}(x) = f^\prime(x)$.
\item sub list 2
\item sub list 3
\end{enumerate}
\end{enumerate}


\begin{enumerate}to\begin{enumerate}\parindent15ptand change your manual break\\to\par(or with the usual blank line). – jon Feb 07 '16 at 04:28