OAI/Probability/InvariantIsing/Cavity/CavityReplicaTest.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

The bounded-test comparison for the two-replica law used in the cavity overlap argument. Both replicas share the same Gaussian field.

  1. lemma OAI.InvariantIsing.cavity_twoReplica_mean_eq line 14
  2. lemma OAI.InvariantIsing.cavity_twoReplica_sum_bound line 27
  3. lemma OAI.InvariantIsing.cavity_twoReplica_covariance_bound line 33
  4. theorem OAI.InvariantIsing.cavity_twoReplica_test_comparison line 54