Reference for Chullin 19:30

ה"נ העמד בהמה על חזקתה ואימר לא נשחטה

If one cut through the gullet and then the windpipe was found to be torn away, and it is not known whether it was torn away before or after the slaughtering - this was an actual case [brought before the Rabbis], and they ruled: Any doubt whatsoever arising about the slaughtering makes it invalid.

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