OAI/MathematicalPhysics/DefocusingNLS/Certificates/BoundaryPolynomialParity.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

Reality and evenness of the coherent boundary determinant

  1. def OAI.DefocusingNLS.reflectPolynomial line 11
  2. theorem OAI.DefocusingNLS.coeff_reflectPolynomial line 13
  3. theorem OAI.DefocusingNLS.reflectPolynomial_add line 17
  4. theorem OAI.DefocusingNLS.reflectPolynomial_sub line 21
  5. theorem OAI.DefocusingNLS.reflectPolynomial_mul line 25
  6. theorem OAI.DefocusingNLS.reflectPolynomial_reflect line 29
  7. theorem OAI.DefocusingNLS.reflectPolynomial_conjugate line 35
  8. theorem OAI.DefocusingNLS.sharpPolynomial_eq_reflect line 41
  9. theorem OAI.DefocusingNLS.reflectedHermitian_reflect_conjugate line 44
  10. theorem OAI.DefocusingNLS.reflectedHermitian_conjugate_transpose line 54
  11. theorem OAI.DefocusingNLS.boundaryDeterminantPolynomial_real line 63
  12. theorem OAI.DefocusingNLS.boundaryDeterminantPolynomial_even line 74
  13. theorem OAI.DefocusingNLS.boundaryDeterminantPolynomial_coeff_im line 86
  14. theorem OAI.DefocusingNLS.boundaryDeterminantPolynomial_coeff_odd line 93