OAI/Probability/BinarySweep/MatrixBounds/Whitening.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.BinaryCoordinateSweeps.Irrep.symmetric_projection_commutes line 21
  2. lemma OAI.BinaryCoordinateSweeps.Irrep.isotypic_norm_cap line 31
  3. theorem OAI.BinaryCoordinateSweeps.Irrep.whitening_norm line 50
  4. theorem OAI.BinaryCoordinateSweeps.Irrep.whitening_positive line 67
  5. lemma OAI.BinaryCoordinateSweeps.Density.trace_product_nonneg line 104
  6. lemma OAI.BinaryCoordinateSweeps.Density.trace_product_mono line 110
  7. lemma OAI.BinaryCoordinateSweeps.Density.trace_product_re_nonneg line 116
  8. lemma OAI.BinaryCoordinateSweeps.Density.trace_product_re_mono line 120
  9. lemma OAI.BinaryCoordinateSweeps.Density.tensor_product_trace_re line 125
  10. def OAI.BinaryCoordinateSweeps.Density.parityProjection line 146
  11. lemma OAI.BinaryCoordinateSweeps.Density.commutes_parity_iff line 149
  12. lemma OAI.BinaryCoordinateSweeps.Density.sqrt_commutes line 164
  13. theorem OAI.BinaryCoordinateSweeps.Density.exists_even_whitening line 169