Talmud for Beitzah 6:23

“Everybody agrees that an egg of which a major part was laid before the start of the holiday may be eaten on the holiday¹¹Tosephta 1:3; in one version in the Babli 7a (Bekhorot 8a) this holds true even if the egg in the meantime had again disappeared into the body of the chicken.”. Where do they disagree? If a minor part came out, where the House of Shammai say that it may be eaten, but the House of Hillel say that it may not be eaten¹²This is a logical consequence of the preceding statement. Since we consider an egg of which more than half is visible as completely laid, an egg of which less that half is visible is not laid at all and therefore is an egg totally laid on the holiday and not food available earlier.. “¹³Tosephta 1:3; Babli 3b,4a, Šabbat 43a. On the holiday (and Sabbath) one may move only things which may be used on the day (except if one needs the place occupied by an unusable implement, when one may clear the place.) Since the egg is neither food nor a usable implement, it cannot be moved. Just as it is forbidden as food so it is forbidden to be moved. If one was mixed with a hundred or a thousand, they are all forbidden¹⁴In general, if prohibited material is a small minority in permitted material, it may be disregarded. For example, passive non-kosher ingredients in food may be disregarded if they constitute less than 1/60 of the permitted food. But if the prohibition either will disappear by itself (as in the case of an egg laid on the holiday which is permitted food on the next day) or may be removed by some action, no such disregard is permitted; the entire mixture is prohibited until the prohibition disappears.”. How? Following him who said, if the preparation is in doubt it is forbidden; but him who said, if the preparation is in doubt it is permitted, here he agrees that it is forbidden. For wind-fall there is a doubt where it fell today or fell yesterday, but here one is forbidden and it is proof for all of them¹⁵If fruit is found under a fruit tree on the holiday, there is a doubt whether it is forbidden as fallen on the holiday or whether it is permitted as fallen before the holiday. Therefore if this fruit is put into a basket with many other fruits, there is a doubt whether any of this is forbidden. If we hold that the requirement to use only food available before the holiday is biblical (cf. Ex. 16:23) the wind-fall is forbidden, but if the requirement is rabbinic and traditional, the wind-fall is permitted cf. Babli 24a. There is nothing clearly forbidden and the rule spelled out at the end of the preceding note cannot be applied. But if an egg was laid on the holiday, for the House of Hillel it certainly is forbidden and therefore the rule which forbids the mixture for the day can be applied..