Just to check, you are using this code right mraa/blink-io8.py at master · intel-iot-devkit/mraa · GitHub ? Notice the code is using mraa pin 8, what mraa pin are you using?
To run the blink example in the mini breakout, you’d have to upload that code into a file with extention.py like exampleblink.py then run the command python exampleblink.py.
Make sure you have the board correctly connected, take a look at Hooking up Intel Edison to your breadboard ... . If you are using pin 13 this means you should see an output in J17-14.