OAI/Geometry/Convex/GeneralMahler/Linear/Final.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

§06 final inequalities before rigidity.

  1. lemma OAI.GeneralMahler.hsn_eq_zero line 14
  2. lemma OAI.GeneralMahler.ProjField.nuR line 33
  3. lemma OAI.GeneralMahler.ProjField.nupt_neg line 45
  4. lemma OAI.GeneralMahler.ProjField.nuR_neg line 52
  5. def OAI.GeneralMahler.ProjField.Bgap line 57
  6. lemma OAI.GeneralMahler.ProjField.Bpositive line 58
  7. lemma OAI.GeneralMahler.ProjField.Btest line 59
  8. lemma OAI.GeneralMahler.ProjField.Bgap_pos line 60
  9. structure OAI.GeneralMahler.ProjField.Balanced line 65

    Source comment

    normal form after covariance updates
    structure Balanced : Prop where
    …
  10. lemma OAI.GeneralMahler.ProjField.E_last line 72
  11. lemma OAI.GeneralMahler.ProjField.entropy_pt line 82
  12. lemma OAI.GeneralMahler.ProjField.PairPos line 89
  13. lemma OAI.GeneralMahler.ProjField.E_sign line 96
  14. theorem OAI.GeneralMahler.ProjField.Bound_pt line 109