documentclass{article}
usepackage{tikz-cd}

begin{document}
begin{tikzcd}
    hom(A, A) arrow[d, "hom(A, f)"] arrow[r, "hom(h, B)"] & hom(A', B) arrow[d, "hom(A', f)"] \
    hom(A, B') arrow[r, "hom(h, B')"] & hom(A', B')
end{tikzcd}
end{document}

documentclass{article}
usepackage{tikz-cd}

begin{document}

begin{tikzcd}[row sep=large, column sep=huge]%[column sep=3em]
    hom(A, A) arrow[d, "{hom(A, f)}"] arrow[r, "{hom(h, B)}"] & hom(A', B) arrow[d, "{hom(A', f)}"] \%
    hom(A, B') arrow[r, "{hom(h, B')}"] & hom(A', B')%
end{tikzcd}

end{document}