OAI/Geometry/TamingCompatibility/DifferentialForms/DirectionalEnergy.lean

GitHub source file

20 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.TamingCompatibility.DirectionalEnergy.directionDeriv line 18
  2. lemma OAI.TamingCompatibility.DirectionalEnergy.second_partial_comm line 19
  3. lemma OAI.TamingCompatibility.DirectionalEnergy.partial_mul_integral_swap line 33
  4. def OAI.TamingCompatibility.DirectionalEnergy.codifferential line 42
  5. def OAI.TamingCompatibility.DirectionalEnergy.gradientEnergy line 46
  6. lemma OAI.TamingCompatibility.DirectionalEnergy.gradientEnergy_integrable line 49
  7. lemma OAI.TamingCompatibility.DirectionalEnergy.codifferential_energy_pointwise line 53
  8. theorem OAI.TamingCompatibility.DirectionalEnergy.codifferential_energy line 60
  9. def OAI.TamingCompatibility.DirectionalEnergy.coordinateConstant line 94
  10. lemma OAI.TamingCompatibility.DirectionalEnergy.coordinateConstant_pos line 96
  11. lemma OAI.TamingCompatibility.DirectionalEnergy.covector_basis_expansion line 100
  12. lemma OAI.TamingCompatibility.DirectionalEnergy.covector_basis_sq line 106
  13. lemma OAI.TamingCompatibility.DirectionalEnergy.gradient_control line 111
  14. lemma OAI.TamingCompatibility.LocalMatrixOperator.oneVector_inner line 132
  15. def OAI.TamingCompatibility.LocalMatrixOperator.oneCoordinates line 137
  16. def OAI.TamingCompatibility.LocalMatrixOperator.evaluationConstant line 140
  17. lemma OAI.TamingCompatibility.LocalMatrixOperator.evaluationConstant_pos line 141
  18. lemma OAI.TamingCompatibility.LocalMatrixOperator.oneCoordinates_bound line 144
  19. lemma OAI.TamingCompatibility.LocalMatrixOperator.principal_covectors line 157
  20. lemma OAI.TamingCompatibility.LocalMatrixOperator.oneCoordinates_star_covectors line 172