Here is the diagram I want to draw:
I know how to draw ordinary commutative diagram like this and here is my trial:
\documentclass{book}
\usepackage{tikz-cd}
\begin{document}
$$\begin{tikzcd}[row sep=huge]
& X\ar[dl,"Id_{X}",swap,sloped] \ar[dr,"Id_{X}",sloped] \ar[d,dashed,"{ \vartriangle }" description] & \\
X & X\times X\ar[l,"Pr_{X}"] \ar[r,"Pr_{X}",swap] & X
\end{tikzcd}$$
\end{document}
But I do not know how to draw this tilted commutative diagram. Could anyone help me with drawing so, please?
tikz-cd
package?