OAI/Analysis/DirectCrouzeix/PolynomialEnergy.lean

GitHub source file

18 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.DirectCrouzeix.MatrixPolynomial line 15
  2. def OAI.DirectCrouzeix.matrixPolynomialValue line 17
  3. theorem OAI.DirectCrouzeix.matrixPolynomialValue_C line 24
  4. theorem OAI.DirectCrouzeix.matrixPolynomialValue_X line 28
  5. theorem OAI.DirectCrouzeix.continuous_matrixPolynomialValue line 32
  6. def OAI.DirectCrouzeix.scalarMatrixPolynomial line 36
  7. theorem OAI.DirectCrouzeix.matrixPolynomialValue_scalar line 39
  8. theorem OAI.DirectCrouzeix.tensorPolynomial_scalar line 53
  9. def OAI.DirectCrouzeix.faberPolynomial line 67
  10. theorem OAI.DirectCrouzeix.matrixPolynomialValue_faber line 71
  11. theorem OAI.DirectCrouzeix.tensorPolynomial_faber line 77
  12. theorem OAI.DirectCrouzeix.faber_pairing line 83
  13. def OAI.DirectCrouzeix.polynomialEnergy line 91
  14. theorem OAI.DirectCrouzeix.polynomialEnergy_nonneg line 94
  15. theorem OAI.DirectCrouzeix.polynomialEnergy_mul_le line 97
  16. theorem OAI.DirectCrouzeix.cross_boundary_estimate line 121
  17. theorem OAI.DirectCrouzeix.singular_ordered_pairings line 146
  18. theorem OAI.DirectCrouzeix.singular_diagonal_estimates line 165