OAI/Geometry/Immersion/ClosedSurface/CrossModes.lean

GitHub source file

18 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.ClosedSurfaceR4.RealModes.phaseZeroTensor line 17
  2. def OAI.ClosedSurfaceR4.RealModes.phaseDoubleTensor line 23
  3. def OAI.ClosedSurfaceR4.RealModes.phasePlusTensor line 28
  4. def OAI.ClosedSurfaceR4.RealModes.phaseMinusTensor line 33
  5. lemma OAI.ClosedSurfaceR4.RealModes.displacement_doubleTensor line 38
  6. lemma OAI.ClosedSurfaceR4.RealModes.displacement_crossTensor line 46
  7. def OAI.ClosedSurfaceR4.RealModes.zeroPhaseSum line 56
  8. def OAI.ClosedSurfaceR4.RealModes.nonzeroPhaseSum line 60
  9. lemma OAI.ClosedSurfaceR4.RealModes.realMetric_sumDisplacement line 69
  10. lemma OAI.ClosedSurfaceR4.RealModes.realLinearized_sum_right line 82
  11. theorem OAI.ClosedSurfaceR4.RealModes.finite_phase_metric_identity line 93
  12. lemma OAI.ClosedSurfaceR4.QuadraticMean.contDiffOn_derivativeAmplitude line 121
  13. lemma OAI.ClosedSurfaceR4.QuadraticMean.weighted_real_complex line 132
  14. lemma OAI.ClosedSurfaceR4.QuadraticMean.weighted_derivativeAmplitude line 147
  15. lemma OAI.ClosedSurfaceR4.QuadraticMean.weighted_halfDot line 176
  16. lemma OAI.ClosedSurfaceR4.RealModes.contDiffOn_phasePlusTensor line 194
  17. lemma OAI.ClosedSurfaceR4.RealModes.contDiffOn_phaseMinusTensor line 203
  18. theorem OAI.ClosedSurfaceR4.RealModes.weighted_phaseCrossTensor line 215