Win32 Vim inside MSYS Tmux doesn't interpret C-h

This is an edgecase. I am using win32 version of Vim (built with gcc of
mingw-w64) inside Tmux provided by msys. In it C-h isn't interpreted as
it is done outside Tmux. I have this keymap:

nnoremap <C-h> <C-w>h

And it doesn't take effect in win32-vim in tmux.

I also have an unix version of vim, built with gcc from msys. By "unix
version," I mean it runs on msys shell with its unix layer. This
version of vim, unix-vim, interprets <C-h> inside tmux properly. Vim
inside Tmux on native Linux also interprets <C-h> properly.

Although few if anyone use win32 Vim inside Tmux, so this issue is not
really an issue, but I am curious as to what's going on, if anyone here
can shed some light.

--
Enan

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