Reference for Zevachim 22:7

אם כן לכתוב קרא אשר הורמו מאי אשר ירימו שמע מיניה תרתי:

Since then that itself is unfit [when slaughtered] in its own name [during the rest of the year], it is logical others slaughtered in its name [during the rest of the year] are unfit.

Jastrow