OAI/Dynamics/EntropyCounterexample/SphereTranslation.lean

GitHub source file

22 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Problem340.SphereTranslation.denom line 10
  2. def OAI.Problem340.SphereTranslation.ambient line 14
  3. lemma OAI.Problem340.SphereTranslation.sphere_coordinates line 19
  4. lemma OAI.Problem340.SphereTranslation.denom_pos line 26
  5. lemma OAI.Problem340.SphereTranslation.ambient_mem_sphere line 46
  6. def OAI.Problem340.SphereTranslation.translate line 62
  7. lemma OAI.Problem340.SphereTranslation.ambient_zero line 65
  8. lemma OAI.Problem340.SphereTranslation.translate_zero line 69
  9. def OAI.Problem340.SphereTranslation.domain line 73
  10. lemma OAI.Problem340.SphereTranslation.contDiff_complex_re line 75
  11. lemma OAI.Problem340.SphereTranslation.contDiff_complex_im line 78
  12. lemma OAI.Problem340.SphereTranslation.contDiff_denom line 81
  13. lemma OAI.Problem340.SphereTranslation.isOpen_domain line 86
  14. lemma OAI.Problem340.SphereTranslation.contDiffOn_ambient line 89
  15. theorem OAI.Problem340.SphereTranslation.continuous_translate line 112
  16. lemma OAI.Problem340.SphereTranslation.contDiffAt_ambient line 125
  17. lemma OAI.Problem340.SphereTranslation.ambient_north line 130
  18. def OAI.Problem340.SphereTranslation.continuousMap line 135
  19. def OAI.Problem340.SphereTranslation.homotopy line 141
  20. def OAI.Problem340.SphereTranslation.chart line 151
  21. lemma OAI.Problem340.SphereTranslation.ambient_not_north line 154
  22. lemma OAI.Problem340.SphereTranslation.chart_ambient line 163