Use a knife to remove the thick skin of the kohlrabi. Use a hand grater or the grating blade of the food processor to shred the kohlrabi – you will have about 1 ½ to 2 cups.
In a large bowl mix together the shallots, rice vinegar, olive oil, and lemon juice. Season generously with salt and pepper. Add the cabbage and kohlrabi and toss to blend well. Taste and adjust the seasoning.