In a house with ceiling that is lower in the middle (sunken), may invalid s'chach cover the sunken area?

SukkotS'chach Validity

Synopsis

A house with a sunken middle area may be covered with invalid s'chach in that middle section while retaining valid s'chach around the edges, remaining valid as a sukkah if a proper section exists.

Early Acharonim
Lenient
Strict
Lesser cited
Major authority

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