| import OAI.Analysis.FiniteFactor.CrossedProduct.InvariantProjection |
| import OAI.Analysis.FiniteFactor.CrossedProduct.PreparedFactor |
|
|
| namespace OAI |
|
|
| namespace FiniteFactor |
| open MeasureTheory Filter |
| open scoped Topology |
| noncomputable section |
|
|
| theorem main_theorem : MainTarget.{0} := by |
| obtain ⟨θ,hr,hphase,hs,_he,hcenter,hfinite,hminimal,hpredual,hθ,hT,hT0,_hinj,_hcontract,hqn⟩ := |
| exists_source_prepared_factor |
| refine ⟨SourceHilbert SourceCoordinate,inferInstance,inferInstance,inferInstance,sourceAlgebra θ, |
| hcenter,hfinite,hminimal,hpredual, |
| sourceOperator θ sourceLogWeight hθ.nonneg sourceLogWeight_nonneg,hT,hT0,hqn,?_⟩ |
| intro p hp hproj hinv |
| exact sourceInvariantProjection_trivial θ hθ hr hs hphase hp hproj hinv |
|
|
| end |
| end FiniteFactor |
|
|
| end OAI |
|
|
