(Mishnah - R. Ila'i): I heard that R. Eliezer permits up to a Beis Kor.

I (R. Ila'i) also heard from [R. Eliezer] that if one forgot to give towards the Eruv in the Chatzer [and on Shabbos he was Mevatel (ceded his ownership) to the Bnei Chatzer], his house is forbidden to him (to transfer between it and the Chatzer), but it is permitted for them (Bnei Chatzer may transfer between their houses and his, via the Chatzer);

I also heard from him that one fulfils [the Mitzvah of Maror] on Pesach with Arkavlnn (palm-ivy). I pursued all his Talmidim to find someone else [who heard these Halachos from him], and I did not find.

(Gemara - R. Avahu citing R. Elazar): Like the conditions [in which the previous Mishnah permits] Sa'atayim (it may not be more than, and the length may not exceed the width even by one Amah, so is the Heter in) our Mishnah for a Beis Kor.

Implied question (Mishnah): And so I heard from him that if one of the Bnei Chatzer forgot and was not Me'arev, his house is forbidden [... but it is permitted for them. A Mishnah below (6:3) forbids everyone!]

Answer: That is Rabanan. Here is R. Eliezer;

Rabanan say that one [who is Mevatel Stam, he] is Mevatel Reshus of his Chatzer, but one is not Mevatel Reshus of his house [therefore it is forbidden even to them]. R. Eliezer says that just like he is Mevatel Reshus of his Chatzer, he is Mevatel Reshus of his house.

Question: According to R. Eliezer, [the Mevatel] should be like a guest [of the others], and he should be permitted!

Answer (R. Chiya bar Ada citing Reish Lakish): (According to letter of the law, you are correct.) R. Eliezer made a fine.

Question (R. Shamai): If one transgressed any matter mid'Rabanan, b'Shogeg, does R. Eliezer fine him?

Question (R. Ba brei d'Rav Papi): If one said 'I am Mevatel Reshus of my house', do even Rabanan agree [that Bnei Chatzer are permitted? Above we said that they argue only about Stam, whether he intended also for Bitul of Reshus Beiso. Or, perhaps Batlah Daito Etzel Kol Adam, i.e. we ignore his mindset, since it is unlike that of normal people.]

If one said 'I am Mevatel Reshus of my Chatzer', even R. Eliezer agrees [that Bnei Chatzer are forbidden].

(Mishnah): And so I heard from him, that one fulfils [Mitzvas Maror] on Pesach with Arkavnin. [I did not find someone else who heard so from him.]

We thought to say that [R. Ila'i] did not find someone else who heard so from R. Eliezer regarding Arkavnin. A Beraisa was found teaching so about all of these Halachos [in the name of R. Eliezer, i.e. also permitting up to a Beis Kor, and one who forgot to be Me'arev].