Can a third person join two who have finished eating for a zimun, and what is the condition for joining?

BlessingsBirkat HaMazon

Synopsis

When two have finished eating and a third arrives wishing to join the zimun, the question is whether joining is unconditional or conditioned on the two still being able to eat more. The Rambam and Mechaber require that the two could still eat something; the Tur and Rosh hold that the third joins unconditionally as long as 'Hav lan venevarekh' has not yet been said.

Rishonim
Early Acharonim
Late Acharonim
Lenient
Strict
Lesser cited
Major authority

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