Quoting%20commentary for Chullin 269:40

ליגזוז וליתיב ליה אמר קרא צאנך ולא צאן של הקדש

And even according to R'Meir who declares that the whole animal does not thereby become [consecrated as] a burnt-offering, that is so only where one consecrated a limb whereon the life [of the animal] does not depend, but if one consecrated a limb whereon the life [of the animal] depends, [he agrees that] the whole animal becomes consecrated.

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