OAI/Probability/InvariantIsing/Cavity/CavityProjectorCoordinates.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

Projector coordinates give the same Gaussian covariance as the eigenbasis coordinates, without choosing an eigenbasis measurably.

  1. def OAI.InvariantIsing.cavitySpectralProjector line 14
  2. lemma OAI.InvariantIsing.cavitySpectralProjector_transpose line 18
  3. lemma OAI.InvariantIsing.cavitySpectralProjector_square line 23
  4. lemma OAI.InvariantIsing.cavity_projector_coordinate_dot line 41
  5. def OAI.InvariantIsing.cavityProjectorSpinCoordinate line 50
  6. theorem OAI.InvariantIsing.cavity_projector_coordinate_covariance line 53