No, I want \\(i :\mathbf{Set} \to \mathbf{Rel}\\), since \\(\mathbf{Set}\\) is included in \\(\mathbf{Rel}\\), and likewise with \\(\iota : \mathbf{Set} \to \mathbf{Poset}\\).

We therefor have an inclusion, \\( \langle i,\iota \rangle :\mathbf{Set} \to \mathbf{Rel} \times \mathbf{Poset}\\), which is this diagram,

\\[
\begin{matrix}
\mathbf{Set} & \overset{i}\rightarrow & \mathbf{Rel}\\\\
\iota\downarrow & & \\\\
\mathbf{Poset} & &
\end{matrix}
\\]