OAI/NumberTheory/DukePrimeDegree/Entropy/AdaptiveFutureLifts.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Countable future observations with locally controlled lifts

The observation cells adapt to the local injectivity radius both before and after one diagonal step. Two valid injectivity balls are nested, so successive relative lifts agree even when their radii differ. No compact orbit assumption or finite-entropy hypothesis is required for the resulting countable observation.

  1. theorem OAI.DukePrimeDegree.exists_local_lift_control line 21
  2. lemma OAI.DukePrimeDegree.variable_future_lifts_conjugate line 49
  3. theorem OAI.DukePrimeDegree.exists_countable_observation_with_triangular_future_lifts line 77