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ddc84c5 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 | 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
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