OAI/MathematicalPhysics/SheetFlows/Trajectories.lean

GitHub source file

25 declarations, 0 contain sorry, 0 declared as axioms

SheetFlows trajectories.

  1. def OAI.Solenoidal.stageField line 15
  2. def OAI.Solenoidal.stageState line 18
  3. def OAI.Solenoidal.stageIncrement line 22
  4. theorem OAI.Solenoidal.stageField_fin line 25
  5. theorem OAI.Solenoidal.stageState_succ line 28
  6. theorem OAI.Solenoidal.stageState_eq_sum line 33
  7. theorem OAI.Solenoidal.stageState_final line 59
  8. def OAI.Solenoidal.launchPath line 63
  9. theorem OAI.Solenoidal.launchPath_start line 66
  10. theorem OAI.Solenoidal.launchPath_finish line 72
  11. theorem OAI.Solenoidal.launchPath_contDiff line 78
  12. theorem OAI.Solenoidal.launchPath_active line 83
  13. def OAI.Solenoidal.StraightInvariant line 106
  14. theorem OAI.Solenoidal.axialField_straightInvariant line 109
  15. theorem OAI.Solenoidal.launchPath_hasDerivAt line 114
  16. theorem OAI.Solenoidal.launchPath_periodic_ode line 143
  17. def OAI.Solenoidal.periodState line 151
  18. def OAI.Solenoidal.repeatedPath line 155
  19. theorem OAI.Solenoidal.repeatedPath_on_Ico line 158
  20. theorem OAI.Solenoidal.repeatedPath_on_collar line 163
  21. theorem OAI.Solenoidal.repeatedPath_at_nat line 183
  22. theorem OAI.Solenoidal.repeatedPath_hasDerivAt_nat line 187
  23. theorem OAI.Solenoidal.scheduleVelocity_at_nat line 194
  24. theorem OAI.Solenoidal.repeatedPath_hasDerivAt line 200
  25. theorem OAI.Solenoidal.schedule_material_flow line 225