OAI/MathematicalPhysics/PEPSSubvolume/SpectralPowers.lean

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14 declarations, 0 contain sorry, 0 declared as axioms

Entire spectral exponentials and finite matrix functional calculus.

  1. def OAI.PolynomialPEPS.Subvolume.SpectralCurve.spectralHom line 17
  2. theorem OAI.PolynomialPEPS.Subvolume.SpectralCurve.spectralHom_apply line 27
  3. def OAI.PolynomialPEPS.Subvolume.SpectralCurve.curve line 30
  4. theorem OAI.PolynomialPEPS.Subvolume.SpectralCurve.curve_zero line 33
  5. theorem OAI.PolynomialPEPS.Subvolume.SpectralCurve.curve_add line 39
  6. theorem OAI.PolynomialPEPS.Subvolume.SpectralCurve.curve_star line 44
  7. theorem OAI.PolynomialPEPS.Subvolume.SpectralCurve.curve_mem_unitary line 51
  8. theorem OAI.PolynomialPEPS.Subvolume.SpectralCurve.norm_curve_le line 57
  9. theorem OAI.PolynomialPEPS.Subvolume.SpectralCurve.curve_posSemidef line 67
  10. theorem OAI.PolynomialPEPS.Subvolume.SpectralCurve.hasDerivAt_curve line 77
  11. theorem OAI.PolynomialPEPS.Subvolume.SpectralCurve.hasDerivAt_curve_zero line 89
  12. theorem OAI.PolynomialPEPS.Subvolume.SpectralCurve.trace_spectralHom line 93
  13. theorem OAI.PolynomialPEPS.Subvolume.SpectralCurve.sum_eigenvalues_spectralHom line 98
  14. theorem OAI.PolynomialPEPS.Subvolume.SpectralCurve.tracePower_curve_one line 120