OAI/NumberTheory/DukePrimeDegree/Geometry/LeafBoxSeparation.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Pointwise separation of root fibers on a conull set

Coordinate disintegration gives one ambient null set outside which the intrinsic leaf agrees with the chart leaf at every remaining point. Within a fixed root box, equal leaves at points in one fiber then force equal points in the noninvariant ergodic case. This strengthens the conditional-almost-everywhere form needed in EKL (2006), Lemma 4.4(2).

  1. lemma OAI.DukePrimeDegree.rootBox_exists_nullset_for_coordinates line 22
  2. theorem OAI.DukePrimeDegree.rootBox_leaf_separates_fibers_outside_nullset line 47