All [vegetables] pickled one with another are permitted, except with a pungent bulb. A chullin pungent bulb with a terumah pungent bulb, [or] a chullin vegetable with a terumah pungent bulb is forbidden; but a chullin pungent bulb with a terumah vegetable is permitted.

Nonkosher grasshoppers that were pickled together with kosher grasshoppers do not render their brine forbidden. R' Tzadok testified about the brine of nonkosher grasshoppers that it is permitted.