OAI/Probability/InvariantIsing/Cavity/CavityConditionedFrame.lean

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11 declarations, 0 contain sorry, 0 declared as axioms

The finite conditioned Gaussian construction is an orthonormal frame and has an exactly orthogonally invariant law.

  1. lemma OAI.InvariantIsing.measurable_cavityArrayMatrix line 16
  2. def OAI.InvariantIsing.cavityArrayGood line 21
  3. lemma OAI.InvariantIsing.measurableSet_cavityArrayGood line 24
  4. lemma OAI.InvariantIsing.cavityArrayGood_rotation line 35
  5. lemma OAI.InvariantIsing.cavityArrayGood_probability line 43
  6. def OAI.InvariantIsing.cavityConditionedFrameLaw line 55
  7. lemma OAI.InvariantIsing.cavityConditionedFrameLaw_of_rows line 59
  8. lemma OAI.InvariantIsing.cavityConditionedFrameLaw_probability line 82
  9. theorem OAI.InvariantIsing.cavityConditionedFrameLaw_rotation line 89
  10. theorem OAI.InvariantIsing.cavityConditionedFrameLaw_orthonormal line 109
  11. theorem OAI.InvariantIsing.cavityConditionedFrameLaw_eventually_probability line 124