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Theorem NEWPARTS-theorem

DAid(A, D), ADid(A, D), nodups(A), split(P, A, X), partitions(P, # A), P = P0, Fok(F, P, # A), samepartitions(P, A, P4, A4) ⊦ ⟨NEWPARTS(; P, F)⟩ (partitions(P, # A) ∧ divides(P, P0, X, A) ∧ Fok(F, P, # A) ∧ partitionRefinement(P, A, P4, A4, X))

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