| import OAI.NumberTheory.Ostmann.FiniteFactor | |
| import OAI.NumberTheory.Ostmann.Setup | |
| namespace OAI | |
| namespace Ostmann | |
| theorem assemble_from_infinite_case (hinfinite : ∀ _ : Decomposition, False) : | |
| AsymptoticallyIndecomposable := by | |
| apply assemble_indecomposability | |
| · intro A B hfinite hA _ | |
| exact finite_factor_impossible A B hfinite hA | |
| · intro A B hA hB h | |
| obtain ⟨N, hN⟩ := h | |
| exact hinfinite ⟨A, B, hA, hB, N, hN⟩ | |
| end Ostmann | |
| end OAI | |