OAI/Probability/InvariantIsing/Cavity/CavityPhysicalGibbsSplit.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

The original spin/leaf Gibbs law equals the base Gibbs law times the independent cavity prior, tilted by the exact cavity energy difference.

  1. lemma OAI.InvariantIsing.cavity_base_product_tilt line 14
  2. lemma OAI.InvariantIsing.cavity_base_product_tilt_integrable line 23
  3. theorem OAI.InvariantIsing.cavity_spin_leaf_full_tilt line 35
  4. theorem OAI.InvariantIsing.cavity_spin_leaf_factor_integrable line 60
  5. theorem OAI.InvariantIsing.cavity_spin_leaf_replica_split line 86