OAI/GroupTheory/SimpleAmenable/PolygonGeometry/TentMatrixPositivity.lean

GitHub source file

20 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.SimpleAmenable.integral_posSemidef line 15
  2. def OAI.SimpleAmenable.intervalMark line 42
  3. theorem OAI.SimpleAmenable.intervalMark_mul line 45
  4. theorem OAI.SimpleAmenable.intervalMark_mul_integrable line 56
  5. theorem OAI.SimpleAmenable.tent_eq_intervalMark_integral line 61
  6. theorem OAI.SimpleAmenable.real_rankOne_posSemidef line 72
  7. theorem OAI.SimpleAmenable.tentMatrix_posSemidef line 88
  8. theorem OAI.SimpleAmenable.planeTentMatrix_posSemidef line 97
  9. def OAI.SimpleAmenable.flagChamber line 108
  10. theorem OAI.SimpleAmenable.flagChamber_eq_iff line 113
  11. theorem OAI.SimpleAmenable.measurableSet_flagChamber_eq line 129
  12. theorem OAI.SimpleAmenable.equalityMatrix_posSemidef line 152
  13. def OAI.SimpleAmenable.separatorMatrix line 161
  14. theorem OAI.SimpleAmenable.separatorMatrix_integrand_integrable line 165
  15. theorem OAI.SimpleAmenable.separatorMatrix_eq_measure line 170
  16. theorem OAI.SimpleAmenable.separatorMatrix_posSemidef line 175
  17. def OAI.SimpleAmenable.thresholdLaw line 182
  18. theorem OAI.SimpleAmenable.thresholdLaw_isProbability line 185
  19. theorem OAI.SimpleAmenable.separatorMatrix_self line 195
  20. theorem OAI.SimpleAmenable.separatorMatrix_bounds line 199