Chulin 10:1-2

Chulin 10:1

Giving the shoulder, the two cheeks and the abomasum of a slaughtered animal to a kohein applies both in Israel and elsewhere, while the Temple is standing and when it isn’t, to secular food but not to sacrifices. One might argue that if this mitzvah applies to secular food, from which one need not give the chest and thigh to a kohein, it should certainly apply to sacrifices, from which one must give the chest and thigh to a kohein. However, regarding the chest and thigh, Leviticus 7:34 says, “I have given them to Aaron the kohein and his sons as an eternal portion,” i.e., only those parts of a sacrifice are for the kohein, to the exclusion of any others.

Chulin 10:2

All consecrated animals that developed permanent blemishes before they were consecrated and were subsequently redeemed are subject to the laws of firstborn animals (i.e., if they give birth to a firstborn) and the portions given to a kohein; they become secular so they may be shorn and used for work. Their offspring and milk are permitted after they have been redeemed, one is not liable for slaughtering them outside the Temple, and the concept of substituting doesn’t apply to them. If such an animal died, it may be redeemed except for a firstborn animal and animal tithe. If the animal was consecrated before being blemished, or if it developed a temporary blemish before being consecrated and a permanent blemish emerged later, and it was redeemed, it is exempt from firstborn status and from the potions given to a kohein. It does not become secular so it may not be shorn, nor used for work. Its offspring and milk are prohibited after it has been redeemed, one is liable for slaughtering it outside the Temple, the rules of substitution apply to it and if it dies, it must be buried.