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`BookProof.PermSector.permRep_mem_sectorCore` (n : ℕ) (σ : Equiv.Perm (Fin n)) (x : (Hs.pow n).carrier) (hx : x ∈ sectorCore Hs D₂ D n) : (permRep Hs n).act σ x ∈ sectorCore Hs D₂ · Prove2Me