OAI/Analysis/MatrixSigning/Matrices/RealTrace.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.CurrentKS.realTrace line 13
  2. def OAI.CurrentKS.traceSign line 15
  3. theorem OAI.CurrentKS.traceSign_mem line 18
  4. theorem OAI.CurrentKS.nonzero_eigenvalues_card_le line 23
  5. theorem OAI.CurrentKS.nonzero_eigenvalue_unique line 36
  6. theorem OAI.CurrentKS.eigenvalue_eq_realTrace line 45
  7. theorem OAI.CurrentKS.eigenvalue_eq_zero_or_trace line 61
  8. theorem OAI.CurrentKS.realTrace_eq_zero_iff line 68
  9. theorem OAI.CurrentKS.traceSign_mul_trace line 81
  10. theorem OAI.CurrentKS.traceSign_sq line 88
  11. theorem OAI.CurrentKS.traceSign_smul_posSemidef line 92
  12. theorem OAI.CurrentKS.rank_one_square line 112
  13. theorem OAI.CurrentKS.realTrace_smul line 134