OAI/NumberTheory/DukePrimeDegree/Entropy/RootFactorConditionalProduct.lean

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The conditional product step for a noncommuting root factor

A measurable change of transverse coordinates preserves the real conditional. In a genuine root factor chart, the proved neutral holonomy then makes that conditional independent of the remaining root coordinates. This is the local step of EK2003, Proposition 8.3.

  1. lemma OAI.DukePrimeDegree.factorChart_nested_conditionals line 26
  2. lemma OAI.DukePrimeDegree.factorChart_ae_nested line 53
  3. theorem OAI.DukePrimeDegree.rootFactorChart_real_conditionals_constant line 73