How to automatically start tmux on SSH session?

I have ten or so servers that I connect to with SSH on a regular basis. Each has an entry in my local computer's ~/.ssh/config file.

To avoid losing control of my running process when my Internet connection inevitably drops, I always work inside a tmux session. I would like a way to have tmux automatically connect every time an SSH connection is started, so I don't have to always type tmux attach || tmux new after I SSH in.

Unfortunately this isn't turning out to be as simple as I originally hoped.

• I don't want to add any commands to the ~/.bashrc on the servers because I only want it for SSH sessions, not local sessions, and I would prefer to only set it up once.
• Adding tmux attach || tmux new to the ~/.ssh/rc on the servers simply results in the error not a terminal being thrown after connection, even when the RequestTTY force option is added to the line for that server in my local SSH config file.

Alright, I found a mostly satisfactory solution. In my local ~/.bashrc, I wrote a function:

function ssh () {/usr/bin/ssh -t "$@" "tmux attach || tmux new";}

which basically overwrites the ssh terminal function to call the built-in ssh program with the given arguments, followed by "tmux attach || tmux new".

(The $@ denotes all arguments provided on the command line, so ssh -p 123 user@hostname will be expanded to ssh -t -p 123 user@hostname "tmux attach || tmux new")

(The -t argument is equivalent to RequestTTY Force and is necessary for the tmux command.)