Remove paragraph and slightly modify msys2 definition

Author: smeskos

learn/os_setup/install_gfortran.md

@@ -13,24 +13,21 @@ Three sources provide quick and easy way to install GFortran compiler on Windows
 1. [http://www.equation.com](http://www.equation.com/servlet/equation.cmd?fa=fortran), provides 32 and 64-bit x86
  executables of the latest (10.2) gcc-version.
 2. [TDM GCC](https://jmeubank.github.io/tdm-gcc/articles/2020-03/9.2.0-release), provides 32 and 64-bit x86 executables of the 9.2 gcc-version.
-3. [Mingw-w64](http://mingw-w64.org/doku.php/download/mingw-builds) provides a 64-bit x86 executable of the 7.2 gcc-version.
+3. [MinGW-w64](http://mingw-w64.org/doku.php/download/mingw-builds) provides a 64-bit x86 executable of the 7.2 gcc-version.
 
 In all the above choices, the process is straightforward—just download the installer and follow the installation wizard.
 
 ### Unix-like development on Windows
 For those familiar with a unix-like development environment, several emulation options are available on Windows each of which provide packages for gfortran:
 
 * __Cygwin:__ A runtime environment that provides POSIX compatibility to Windows;
-* __MSYS2:__ A collection of Unix-like development tools for compiling native Windows binaries;
+* __MSYS2:__ A collection of Unix-like development tools, based on modern Cygwin and MinGW-w64;
 * __Windows Subsystem for Linux (WSL):__ An official compatibility layer for running Linux binary executables on Windows.
 
 All of the above approaches provide access to common shells such as bash and development tools including GNU coreutils, Make, CMake, autotools, git, grep, sed, awk, ssh, etc.
 
 We recommend the WSL environment for those looking for a Unix-like development environment on Windows.
 
-Note that only MSYS2 allows the native compilation of Windows binaries; this is important if you intend to distribute your binaries or if you prioritise execution performance.
-Binaries compiled in Cygwin are 'Cygwin' binaries linked against `cygwin.dll` and will hence only execute within the Cygwin environment. Binaries compiled in WSL are Linux binaries and therefore require the WSL environment to run on Windows.
-
 ## Linux