Yevamot 13 - March 20, 17 Adar 2

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Today's daf is dedicated by Tzivia Korn for a refuah shleima for Frieda Devra bat Rayzel Riva. 

What is the source for exempting the tzara of the tzara in the event that there was a third brother, mentioned in the first Mishna? When the Mishna states that if the wife (the one who was forbidden to the brother) died or divorced, etc. before the first husband died, the tzara is permitted. Is this even if she died, divorced, etc. after the second wife was married to him or only if it was before the second wife married the first husband? If it is the former, it seems to contradict a Mishna in the third chapter. Can it be inferred from the Mishna whether miun, refusal, to the yabam cannot retroactively invalidate her first marriage and therefore cannot permit her tzara to marry the yabam? The second Mishna of this chapter lists six cases of forbidden relationships that are different from the first Mishna as in all six situations, there is no case where the woman can marry any of the brothers. Therefore this law exempting the tzara from marrying the first wife's relatives is void. If there was a case without yibum, meaning the husband dies with children, if the tzara chooses to remarry a relative of the other wife, she may. Beit Shamai disagrees with the premise of the first Mishna and permits the tzarot to do yibum. Some ramifications of this debate are explained in the Mishna. Even though there are important ramifications for whose marriages are valid/not valid, Beit Shamai and Beit Hillel did not refrain from marrying women from the other school of thought. The same holds true for their disagreements regarding pure/impure vessels. What is the basis for the debate between them? Two different answers are brought. The Gemara brings a discussion between Reish Lakish and Rabbi Yochanan regarding the prohibition to break up the community into different factions - when is this relevant and when is it not?