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Summary
Gemara:
Beraisa: B’emes Omru [this is an expression that denotes a law accepted by the Sanhedrin] a boy can be motzi his father with Birkas Hamazon*.
An eved can be motzi his master and a wife can be motzi her husband with Birkas Hamazon, but a curse should come upon such a man (because he’s scorning Avodas Hashem, he should be the kohen gadol in his house).
Rava: Mighty halachos can be learned from the minhag of hallel**.
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Rashi: In masichta Brachos the gemara explains that this is only if the father is not obligated in birkas hamazon d’oraysa. ( Tosfos there discusses whether the child can be motzi his father, if his meal also only has a d’rabanan obligation on birkas hamazon, because then he has two d’rabanan obligations).
*Rashi: From our custom nowadays, we can learn what the original customs were, see tomorrow’s shiur.