OAI/Analysis/KadisonKastler/TwoRatioPointedConstruction.lean
3 declarations, 0 contain sorry, 0 declared as axioms
The concrete pointed product for the two fixed ratios
The constant matrix-state products are placed in the two spatial tensor legs. Their finite moments, cyclicity and separation give the exact two-family coordinate system used by the application. Its finite stages include remote copies and finite complements.
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OAI.KadisonKastler.twoRatioPointedProductline 25Source documentation
The two prescribed site families with their actual product-state representation.
def twoRatioPointedProduct : PointedMatrixProduct.{u} twoRatioSiteParameter := by …Mentions: OAI.KadisonKastler.twoRatioSiteParameter
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OAI.KadisonKastler.twoRatioConcreteStagesline 36Source documentation
Increasing full matrix stages with the required remote-copy moments.
def twoRatioConcreteStages : ProductMatrixStages (H := twoRatioPointedProduct.{u}.K) := …Mentions: OAI.KadisonKastler.ProductMatrixStages
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OAI.KadisonKastler.twoRatioConcreteCoordinatesline 40Source documentation
The original site coordinates generate the constructed stage closure.
def twoRatioConcreteCoordinates : PointedMatrixSites twoRatioConcreteStages.{u}.algebra twoRatioConcreteStages.vector twoRatioSiteParameter := …Mentions: OAI.KadisonKastler.PointedMatrixSites, OAI.KadisonKastler.twoRatioSiteParameter