% Author: Ika
% Date: 08/13/2015
% Use PDF2SVG to generate the SVG version.

\documentclass{amsart}
\usepackage[paperwidth=440pt, paperheight=230pt, top=0cm, left=0cm, right=0cm, bottom=0cm]{geometry}
\usepackage{amsmath,amssymb,nopageno}
\usepackage[all]{xy}
\begin{document}
\Huge
\def \Hom {\operatorname{Hom}}
\def \id {\operatorname{id}}
\begin{equation*}
\xymatrix{
	\Hom(A,A) \ar_{\Phi_A}[dddd] \ar^{\Hom(A,f)}[rrr] &&& \Hom(A,X) \ar^{\Phi_X}[dddd] \\
	 & \scriptstyle\id_A \ar@{|->}[dd] \ar@{|->}[r] & \scriptstyle f \ar@{|->}[dd] & \\
	\\
	 & \scriptstyle u \ar@{|->}[r] & \scriptstyle (Ff)u = \Phi_X(f) & \\
	F(A) \ar_{Ff}[rrr] &&& F(X) \\
}
\end{equation*}
\end{document}