OAI/Analysis/JiangSu/Nonunital/MatrixDiagonal.lean

GitHub source file

17 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.NonunitalGamma.diagonalHom line 16
  2. lemma OAI.NonunitalGamma.diagonalHom_apply line 30
  3. lemma OAI.NonunitalGamma.diagonalHom_nonneg line 33
  4. lemma OAI.NonunitalGamma.diagonalHom_norm_le_one line 35
  5. def OAI.NonunitalGamma.evalHom line 38
  6. abbrev OAI.NonunitalGamma.realPower line 40
  7. lemma OAI.NonunitalGamma.diagonal_power line 43
  8. lemma OAI.NonunitalGamma.matrixTrace_diagonal line 53
  9. lemma OAI.NonunitalGamma.matrixRank_diagonal line 62
  10. def OAI.NonunitalGamma.rampElement line 89
  11. lemma OAI.NonunitalGamma.inr_rampElement line 92
  12. lemma OAI.NonunitalGamma.rampElement_nonneg line 96
  13. lemma OAI.NonunitalGamma.rampElement_norm_le line 100
  14. lemma OAI.NonunitalGamma.rampElement_sum line 107
  15. lemma OAI.NonunitalGamma.NormalizedTrace.rank_ne_top line 116
  16. lemma OAI.NonunitalGamma.rampElement_rank_defect line 120
  17. theorem OAI.NonunitalGamma.rank_approximation line 129