You can check this yourself by looking carefully at the tlist in Atkins book (which we follow)
The list is also on this thread
http://www.atkinsdietbulletinboard.c...induction.html (What foods can be eaten on Induction?) (What foods can be eaten on Induction?)
but we are only allowed 1/2 avocado.
We are allowed 2 cups of the salad veggies (as in the list) and i cup from the other list.
Sugar snap peas are fine. As long as they are in the pod they come with enough fibre to be fine (There are some old discussion of this here at ADBB - and that seemed to be the consensus)