OAI/Geometry/EinsteinFour/GeodesicGeometry14.lean

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14 declarations, 0 contain sorry, 0 declared as axioms

The actual cut locus equals the two chart images.

  1. theorem OAI.PositiveEinsteinFour.Geometry.actual_complex_distance_le_radius line 24
  2. theorem OAI.PositiveEinsteinFour.Geometry.complexCutChartImage_iff line 38
  3. theorem OAI.PositiveEinsteinFour.Geometry.actualComplexProjective_section_chart_distance_le line 93
  4. theorem OAI.PositiveEinsteinFour.Geometry.actualComplexProjective_section_chart_all_distance_le line 177
  5. theorem OAI.PositiveEinsteinFour.Geometry.actualComplexProjectiveMap_interior_distance_lt line 233
  6. theorem OAI.PositiveEinsteinFour.Geometry.actualComplexProjectiveMap_injective line 247
  7. def OAI.PositiveEinsteinFour.Geometry.actualComplexHomeomorph line 336
  8. theorem OAI.PositiveEinsteinFour.Geometry.actualComplexHomeomorph_apply line 352
  9. def OAI.PositiveEinsteinFour.Geometry.complexInverseDistortion line 384
  10. theorem OAI.PositiveEinsteinFour.Geometry.actualComplexProjective_inverse_local_bound line 386
  11. theorem OAI.PositiveEinsteinFour.Geometry.actualComplexProjective_inverse_geodesic_le line 444
  12. theorem OAI.PositiveEinsteinFour.Geometry.actualComplexProjectiveMap_distance_ge line 509
  13. theorem OAI.PositiveEinsteinFour.Geometry.actualComplexProjectiveMap_distance_eq line 559
  14. theorem OAI.PositiveEinsteinFour.Geometry.actual_complex_projective_model line 596