Midrasch zu Dewarim 12:16

7 (a reversion to R. Yehudah:) I might think that the blood of consecrated animals which have been rendered pasul (by a permanent blemish) also comes under two interdicts (that of eating blood and that of a non-Cohein eating consecrated food); it is, therefore, written (in relation to such animals, Devarim 12:16): "Only the blood you shall not eat." It comes only under one exhortation (that against eating fat, but not that against a non-Cohein eating consecrated food). This tells me only of their blood. Whence do I derive (the same for) their fat? From: "all fat and all blood you shall not eat." Just as the blood comes under one interdict, so the fat comes under one interdict (as above).