OAI/NumberTheory/DukePrimeDegree/Entropy/InfiniteLabelEntropy.lean

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Infinite future conditioning on positive-mass leaf atoms

Finite conditioned kernels converge to restriction to the whole itinerary atom. Martingale convergence identifies this limit with conditioning on the increasing union of the actual transverse-and-label sigma algebras.

  1. def OAI.DukePrimeDegree.labelFiber line 21
  2. def OAI.DukePrimeDegree.transverseLabelSigma line 24
  3. theorem OAI.DukePrimeDegree.conditionalEntropy_infinite_label_restriction line 27