OAI/Geometry/SurfaceImmersion/Atlas/SurfacePhaseCharts.lean

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10 declarations, 0 contain sorry, 0 declared as axioms

The actual surface chart associated with a nonlinear phase. It is independent of the correction atlas and supplies the chart transitions for later curves.

  1. def OAI.ClosedSurfaceR4.surfacePhaseChart line 17
  2. lemma OAI.ClosedSurfaceR4.surfacePhaseChart_apply line 23
  3. lemma OAI.ClosedSurfaceR4.surfacePhaseChart_symm_apply line 28
  4. lemma OAI.ClosedSurfaceR4.surfacePhaseChart_smooth line 33
  5. lemma OAI.ClosedSurfaceR4.surfacePhaseChart_symm_smooth line 41
  6. def OAI.ClosedSurfaceR4.surfacePhaseTransition line 49
  7. lemma OAI.ClosedSurfaceR4.surfacePhaseTransition_smooth line 55
  8. lemma OAI.ClosedSurfaceR4.surfacePhaseTransition_det_ne line 65
  9. def OAI.ClosedSurfaceR4.surfacePhaseMap line 80
  10. lemma OAI.ClosedSurfaceR4.surfacePhaseMap_transition_germ line 85