http://docs.sympy.org/dev/modules/categories.html

is there a software can show this in a real understandable diagram?

\xymatrix{A \ar[r]_{f} \ar@/^1cm/[rr]^{h_{1}} & B \ar[d]^{g} & D \ar[l]^{k} 
\ar@/_2cm/[ll]_{h} \\& C &}

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