How to compact the size of text written upper an arrow in tikz-cd?
\documentclass{article}
\usepackage{amsmath}
\usepackage{tikz-cd}
\usetikzlibrary{arrows, matrix}
\tikzcdset{every label/.append style = {font = \tiny}}
\begin{document}
\[\begin{tikzcd}
0\rar & \mathrm{Hom}_R(L, E) \arrow{r}{\mathrm{Hom}(\beta, \mathrm{id}_E)} & \mathrm{Hom}_R(N, E) \arrow{r}{\mathrm{Hom}(\alpha, \mathrm{id}_E)} & \mathrm{Hom}_R(M, E)
\end{tikzcd}\]
\end{document}