OAI/Probability/InvariantIsing/Spectral/SpectralCountAlignment.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Align two finite spectral labelings so each common eigenspace retains as many axes as possible. A maximizing permutation has no unmatched pair that can be improved by a transposition.

  1. lemma OAI.InvariantIsing.exists_spectral_label_alignment line 14
  2. lemma OAI.InvariantIsing.spectral_alignment_common_count line 57
  3. lemma OAI.InvariantIsing.spectral_label_count_comp line 85
  4. lemma OAI.InvariantIsing.aligned_changed_count_le line 93