Functionality with no internet connection present

So, what happens with the sparks when internet connectivity is gone.

Lets say I have activated and claimed my core and it’s monitoring a simple Temp sensor and controlling a DO.

I understand with normal internet connectivity I would be able to see the core AI reading of the temp sensor and control the DO.

What happens if the internet connection to my WiFi router goes down for some reason? The core will still have a WiFi connection to the router, but no path to the cloud. If my smart phone is on the same LAN WiFi SSID as the core will I still be able to see/control the core directly?

If this is covered in docs someplace that I missed just point me to them.

Looks like I found the answer to my question. I needed to be searching for "cloud" not WiFi