OAI/NumberTheory/DukePrimeDegree/Entropy/IncreasingConditioningChain.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

The finite chain rule after increasing countable conditioning

This form applies to the actual whole-future sigma algebra by using the finite encoded future blocks. It never assumes that the countable labels have finite Shannon entropy.

  1. theorem OAI.DukePrimeDegree.conditionalSigmaEntropy_chain_iSup_nat line 18
  2. theorem OAI.DukePrimeDegree.conditionalSigmaEntropy_comp_preserving_iSup_nat line 44