Midrasz do Kapłańska 22:3

3) "and he eat of the flesh of the sacrifice of the peace-offerings, which is the L–rd's, then that soul shall be cut off from its people": I might think that there is tumah-kareth liability for peace-offerings alone. Whence do I derive that it obtains for all offerings? From (Vayikra 22:3): "Throughout your generations, every man who draws near of all your seed to (eat) the holy things (… with his uncleanliness upon him, that soul will be cut off before Me.") I might think (that there are included) only what is like peace-offerings, which are eaten for two days and one night. Whence do I derive the same for those offerings that are eaten for one day? From (Vayikra 7:21) "of the flesh of the sacrifice of the peace-offerings." (For without this verse I would say:) This tells me only (of those offerings) whose remnants are eaten. Whence do I derive (for inclusion) a burnt-offering, whose remnants are not eaten? From "the sacrifice." This tells me only of sacrifices. Whence do I derive for inclusion birds and meal-offerings, which are not kinds of sacrifices, (shechitah not obtaining there), until the inclusion (for tumah-kareth liability) of the log of oil of the leper? From (the generalization): "Every man who draws near of all your seed to the holy things, etc."

4) I might think that tumah-kareth liability obtains only with things for which there is piggul (thought) liability. And this, indeed, would follow, viz.: If piggul (transgression) which is subject to a standard (sin-offering) (for unwitting transgression) and which obtains with only one awareness, (at the end, after his having transgressed, his never having been aware that it was piggul before he ate it, [as opposed to tumah, where there is awareness in the beginning, awareness at the end, and non-awareness in the middle]), and where nothing of its class is permitted, (piggul being forbidden even where the entire congregation transgresses, as opposed to tumah, which was permitted in such an instance) — (If piggul) obtains only (with offerings) where there are "permitters" (see Chapter 13:5), then tumah transgression, which obtains with two awarenesses, and is subject to a sliding-scale (and not a standard) offering, and where something of its class (congregational tumah) is permitted — how much more so should it obtain only where there are "permitters." Whence, then, (do we derive tumah-kareth liability) for the fistful, the frankincense, the incense, the libation meal-offering, the meal-offering of Cohanim, and the meal-offering of the anointed (high-priest, where there are no "permitters")? It is, therefore, written (Vayikra 22:3): "to (eat) the holy things which they make holy," to include all.

4) You say that this is the purpose of these phrases of exclusion (like "it" above). But perhaps its intent is to limit what is said to peace-offerings alone, (that only they entail kareth liability for piggul and nothar). Whence do we derive the same for all offerings? From (Vayikra 22:3): "A man who draws near of all your seed to the holy things (all of the offerings), etc." — But perhaps only those offerings are included which are like peace-offerings, viz.: Just as peace-offerings are characterized by being eaten for two days, so, all that are thus characterized (are included). Whence do I derive (for inclusion) those which are eaten for only one day? From (the redundant) "flesh" (Vayikra 7:18 "the flesh of the sacrifice of his peace-offerings.") This tells me only of those (offerings) whose flesh is eaten. Whence do I derive (the same) for those who flesh is not eaten? From "the sacrifice" — even birds, which are a kind of sacrifice. And whence do I derive (the same) for meal-offerings, which are not a kind of sacrifice? (And whence do I proceed) until I derive (the same for) the log of oil of the leper? From (Vayikra 22:3) (all) "the holy things that the children of Israel make holy to the L–rd."