תלמוד על מנחות 10:5

MISHNAH: Originally the lulav was taken in the Temple for seven {days} and in the country¹⁴⁴Anywhere in the world outside of the Temple Mount. one day. After the destruction of the Temple, Rabban Joḥanan ben Zakkai instituted that the lulav be taken in the country for seven {days} as remembrance of the Temple, and that the day of waving be entirely forbidden¹⁴⁵New flour is permitted for consumption by the `omer sacrifice of newly cut barley, by pharisaic tradition on the 16^th of Nisan; Lev. 23:14. In the Temple the sacrifice was brought early in the morning; therefore new grain was permitted on that day. Rabban Joḥanan ben Zakkai instituted that new grain should not be used until it automatically became permitted on the 17^th..
If the first day of Tabernacles is a Sabbath, everybody brings their lulav to the synagogue¹⁵¹On Friday afternoon since the lulav may not be carried in the public domain on the Sabbath. As Mishnah 4:3 shows, this refers to any place outside the Temple Mount, where the obligation to take the lulav is biblical only on the first day.. The next day they come in the morning and everybody recognizes his own and takes it, since they said that nobody can fulfill his obligation with another person’s lulav on the first day of Tabernacles; but on the other days of the holiday a person can fulfill his obligation with another person’s lulav¹⁵²Since the verse says: You shall take for yourselves on the First Day, implying it need not be yours on any other day.. Rebbi Yose says, if somebody forgot and took the lulav into the public domain on the first day of Tabernacles which is a Sabbath he is not liable¹⁶⁰He is not liable for a purification sacrifice even though bringing an object from the private into the public domain is a Sabbath violation (Mishnah Šabbat 1:1). since he took it out with permission¹⁶¹Not that he has permission to violate the Sabbath, but to take up the lulav which would be muqṣeh if the Sabbath were on another day of the holiday week..