[Tex/LaTex] How to change the numbering style of theorems based on the section number using amsthm

Question

I am using amsthm for theorems, propositions, and so on. But I altered the section numbering style so that it's '§1 First Section', hence my theorems are numbered (since I base them on sections) 'Proposition §1.1' or similar. How can I change this behaviour to just the numbers without '§', but also without having to change my sectioning style again?

\documentclass[a4paper,10pt]{scrreprt}
\usepackage{amsmath,amsthm}

\addtokomafont{sectioning}{\rmfamily}
\renewcommand{\thesection}{\S\arabic{section}}

\newtheorem{prop}{Proposition}[section]

\begin{document}
\chapter{Prerequisites}
\section{First Section}
\begin{prop}
Blub
\end{prop}
\end{document}

Thank you very much in advance!

Answer 1

You could use

\renewcommand{\theprop}{\arabic{section}.\arabic{prop}}