Beitzah 9a-b. (2)
1- Our Gemara goes through the 7 Machlokos of Bais Shamai and Beis Hillel pertaining to Yom Tov where in two of them Beis Shamai is more lenient.
(Here is a list from a Mishna in Ediyos (perek daled) specifiying where Beis Shamai is more lenient then Beis Hillel).
2- We spoke about the famous Sicha of the Rebbe where he states that although the Torah was given on Shabbos (and one of the Aseres Hadibros is about Shabbos) and Shabbos has to be a 24-hour period, the hours following Matan Torah were not considered Shabbos!
So the rest of Shabbos day after Matan Torah was considered a weekday!
Thus the first observed Shabbos was only the Shabbos after Matan Torah!
3- Based on the above, in a footnote in this Sicha (47*) the Rebbe explains a perplexing Mishnah Brura. 12.
The Mishnah Brura writes that he “heard from a Gadol that the reason we eat milchigs on Shavuot is because after Matan Torah having just received the new laws of shechita etc. it would have taken time to shecht and cook. So the food they ate was milchigs”.
But, the Rebbe asks, was not Matan Torah given on Shabbos? So regardless one would be prohibited to shecht on Shabbos?
Based upon the idea above that after Matan Torah there was no ‘din of Shabbos’ had the laws of shechita been known, shechita would have been indeed permitted!
4- We mentioned that in some later editions of the Mishnah Brura there is a page of “corrections’ by the author [Luach Hatikun]. One of the correction is that this idea of the Gadol is vexing because since Matan Torah was on Shabbos even if the laws of the preparation of meat were familiar, the schechita would have been prohibited.
Gut Shabbos Gut Yom Tov.