OAI/NumberTheory/DukePrimeDegree/Entropy/DiagonalConditionalEntropy.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Actual diagonal entropy as conditional information

Finite-observation entropy on the arithmetic lattice quotient is the conditional information of the present given the complete future. The conditional expectations are defined independently of root coefficients.

  1. lemma OAI.DukePrimeDegree.diagonalOneParameter_measurePreserving line 21
  2. theorem OAI.DukePrimeDegree.diagonal_entropy_eq_futureConditionals line 31