OAI/Probability/InvariantIsing/Cavity/CavityCanonicalLabels.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Canonical spectral labels as continuous monotone functions of the total overlap, with the diagonal bound built into their range.

  1. def OAI.InvariantIsing.cavityCanonicalCoordinate line 15
  2. lemma OAI.InvariantIsing.cavityCanonicalCoordinate_nonneg line 19
  3. lemma OAI.InvariantIsing.cavityCanonicalCoordinate_le_diagonal line 25
  4. lemma OAI.InvariantIsing.cavityCanonicalCoordinate_monotone line 33
  5. lemma OAI.InvariantIsing.continuous_cavityCanonicalCoordinate line 43
  6. lemma OAI.InvariantIsing.cavityCanonicalCoordinate_at_path line 53
  7. def OAI.InvariantIsing.cavityCanonicalLabel line 59
  8. lemma OAI.InvariantIsing.continuous_cavityCanonicalLabel line 66