If China all of sudden stopped mining, the difficulty of the network would go down, making it more profitable for people elsewhere to mine. So no, Bitcoin wouldn't go down. The difficulty might go down, but that wouldn't be a problem.

...although, my Jalepenos would love to be hashing again...

How easy is it to shut down Bitcoin?
Assuming the Internet is functioning, then Bitcoin cannot easily be shut down.
If all major ISP's were pressured to block BTC's port # we would have temporary chaos and many fun challenges.

It is not easy to shutdown bitcoins, You need to cut first the internet, Cause if there is no internet there will be no bitcoins. and if the miners stop the mining , but i think they wont stop mining cause they are gaining profits from it

It would be easy.  Just shut down the internet.  You could go with the escape from LA scenario.

If China stops, I'll probably will start myself. More profitable if they all stop.

No, the network won't go down. The difficulty will be the one going down since there are miners all around the world, not just China.

So it's almost impossible to shut down bitcoin even in a zombie apocalypse. I could set up a PC to mine bitcoins and power it with solar panels. Then, I can just abandon it, knowing that I'll have a sh*t ton of bitcoins once all the zombies have been eradicated. My chain would be the longest one in that case, and everyone else can use my chain unless a general consensus says that we should use the chain from June 29, 2016. I imagine there would be a lot of forks from people that thought of the same setup.

shutting down bitcoin is not equal to shutting down miners. the network needs to go away (shut down) if you want to shut down bitcoin which can't happen. miners shutting down their equipment only leads to change in hashrate.

The same reason that an attacker with enough hash power will never try a 51 percent attack, the system pays you better if you play by the rules everyone else is following, huge decrease in hashrate in one place, diff drops for others, others profit, your loss, thus no one will do it

I think it's really hard. What can be done with all those mining farms?

The network wouldn't go down as others have mentioned, but I have to wonder why so many people use China as an example so often for these hypothetical situations. What event is related to this that creates some plausible situation were China wants to seize all the mining farms and why would that event go down with no resistance?