OAI/Probability/InvariantIsing/Cavity/CavityRationalCounts.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

A rational spectral law gives an exact arithmetic progression of positive multiplicities and the finite exceptional-axis multiplicities.

  1. def OAI.InvariantIsing.cavityRationalCount line 13
  2. lemma OAI.InvariantIsing.cavityRationalCount_sum line 16
  3. lemma OAI.InvariantIsing.cavityRationalCount_step line 20
  4. lemma OAI.InvariantIsing.cavityRationalCount_positive line 25
  5. lemma OAI.InvariantIsing.cavityRationalCount_tendsto line 29
  6. lemma OAI.InvariantIsing.cavityRationalCount_le_total line 36
  7. lemma OAI.InvariantIsing.cavityRationalSpecial_sum line 41
  8. lemma OAI.InvariantIsing.cavityRationalRetained_ge line 46
  9. lemma OAI.InvariantIsing.cavityRationalRetained_base line 52