OAI/Geometry/IsometricImmersion/Caps/EllipticGradient.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.SmoothLocal.Weighted.weightedGradient line 13
  2. def OAI.SmoothLocal.Weighted.coordinateSubsetIntegral line 16
  3. theorem OAI.SmoothLocal.Weighted.elliptic_gradient_scalar line 19
  4. theorem OAI.SmoothLocal.Weighted.ellipticWeight_eq_distance_six line 37
  5. theorem OAI.SmoothLocal.Weighted.ellipticCutoff_gradient_pointwise line 46
  6. theorem OAI.SmoothLocal.Weighted.coordinateRectangle_closed_area_integrable line 65
  7. theorem OAI.SmoothLocal.Weighted.rectangleIntegral_eq_closed_area line 73
  8. theorem OAI.SmoothLocal.Weighted.coordinateSubset_preimage_mem line 86
  9. theorem OAI.SmoothLocal.Weighted.coordinateSubset_integrable line 96
  10. theorem OAI.SmoothLocal.Weighted.coordinateSubsetIntegral_mono line 104
  11. theorem OAI.SmoothLocal.Weighted.coordinateSubsetIntegral_le_rectangle line 117
  12. theorem OAI.SmoothLocal.Weighted.coordinateSubsetIntegral_const_mul line 130
  13. theorem OAI.SmoothLocal.Weighted.restricted_gradient_from_energy line 135
  14. theorem OAI.SmoothLocal.Weighted.threeEdge_elliptic_gradient_bound line 153