If a shelf is built against the middle wall of an oversized sukkah, does it validate the entire sukkah?

SukkotSukkah Structure

Synopsis

A shelf (astuba) built against the middle wall spanning the full width, if containing valid sukkah dimensions, validates the entire sukkah even above the shelf level.

Early Acharonim
Late Acharonim
Lenient
Strict
Lesser cited
Major authority

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