OAI/Geometry/Convex/GeneralMahler/HLayer.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

Equation (6): projection integration by parts; derivative of the cumulative scalar layer kernel.

  1. lemma OAI.GeneralMahler.trace_op line 15
  2. def OAI.GeneralMahler.ProjField.avH line 25
  3. def OAI.GeneralMahler.ProjField.s0 line 26
  4. lemma OAI.GeneralMahler.ProjField.Z_def line 28
  5. lemma OAI.GeneralMahler.ProjField.XT_lipschitz line 30
  6. lemma OAI.GeneralMahler.ProjField.XT_diff line 33
  7. lemma OAI.GeneralMahler.ProjField.normal_XT_inner line 44
  8. lemma OAI.GeneralMahler.ProjField.integrable_pair line 57
  9. lemma OAI.GeneralMahler.ProjField.integral_P_ip line 70
  10. lemma OAI.GeneralMahler.ProjField.trace_SPS line 75
  11. theorem OAI.GeneralMahler.ProjField.avH_as_mean_ip line 84
  12. lemma OAI.GeneralMahler.ProjField.avH_as_energy line 101
  13. lemma OAI.GeneralMahler.ProjField.deriv_avH line 123
  14. lemma OAI.GeneralMahler.ProjField.avH_variance line 141