Study Chullin folio 19A with parallel Hebrew-English text, traditional commentary, and modern study tools. Free access to Babylonian Talmud online.
The Talmud concludes: And the halakha is: If one slaughters from the incline of the thyroid cartilage and below in the direction of the windpipe, the slaughter is valid, and that is in accordance with the opinion that one who left part of the arytenoid cartilage has still performed a valid slaughter
The Talmud relates that Rav Naḥman deemed the slaughter valid in a case where one slaughtered from the incline of the thyroid cartilage and below. Rav Ḥanan bar Rav Ketina said to Rav Naḥman: In accordance with whose opinion is that ruling? It is neither in accordance with the opinion of the Rabbis
Rav Naḥman said to him: Neither do I know Ḥillek nor do I know Billek, i.e., I know the reason neither for this one’s opinion nor for that one’s opinion. I know the halakha, as R' Ḥiyya bar Abba says that R' Yoḥanan says, and some say that R' Abba bar Zavda says that R' Ḥanina says, and some say th
§ The Talmud returns to analyzing the baraita (18b): In a case where the knife is diverted from the place of slaughter above the ring, the slaughter is not valid. R' Ḥanina ben Antigonus testified about a case where the knife is diverted from the place of slaughter above the ring that the slaughter
And with regard to a case where the knife was diverted according to the opinion of R' Yosei, son of R' Yehuda, it is valid according to the opinion of R' Ḥanina ben Antigonus, who ruled that even if a majority of the windpipe was cut outside the large upper ring, the slaughter is valid.