Exercise 5-5

1. Draw a morphism \(3 \xrightarrow f 2\) and a morphism \(2 \xrightarrow g 4\) in \(\ref{FinSet as prop|\textbf{FinSet|referenced}}\)

2. Draw \(f+g\)

3. What is the natural composition rule for morphisms in \(\ref{FinSet as prop|\textbf{FinSet|referenced}}\)

4. What are the identities in \(\ref{FinSet as prop|\textbf{FinSet|referenced}}\)

5. Draw a symmetry map \(\sigma_{m,n}\) for some \(m,n\) in \(\ref{FinSet as prop|\textbf{FinSet|referenced}}\).