Commentary for Chullin 37:30
אמר ליה אביי
But where the slaughterer first cut two thirds [in the top ring] and then the last third above it, all are of the opinion that the slaughtering is valid, for we have learnt [in a Mishnah The greater part of an organ is equivalent to [the whole of] it!<span class="x" onmousemove="('comment',' Therefore whatever is done to the windpipe after the greater portion of it has been cut through is of no consequence and cannot affect the already valid slaughtering. V. infra 27a.');"><sup>16</sup></span>
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