OAI/Analysis/HyperbolicCones/KernelSpectrum.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

Spectral identities for the inverse square root.

  1. theorem OAI.Paper256.inverseSquareRoot_eq_cfc line 14
  2. theorem OAI.Paper256.matrix_cfc_mul line 21
  3. theorem OAI.Paper256.inverseSquareRoot_isHermitian line 27
  4. theorem OAI.Paper256.inverseSquareRoot_transpose line 32
  5. theorem OAI.Paper256.posDef_real_spectrum_positive line 36
  6. theorem OAI.Paper256.inverseSquareRoot_conjugate line 42
  7. theorem OAI.Paper256.inverseSquareRoot_isUnit line 65
  8. theorem OAI.Paper256.inverseSquareRoot_commute line 72
  9. theorem OAI.Paper256.inverseSquareRoot_sq line 80