OAI/MathematicalPhysics/NavierStokes/ForcedComputation/Flow/EuclideanDerivativeBounds.lean

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14 declarations, 0 contain sorry, 0 declared as axioms

Conversion of the processor's derivative bounds to the Euclidean norms used in the velocity detector. The factor two is deliberately integral and is computed from the two-dimensional norm comparison.

  1. abbrev OAI.ForcedComputation.EuclideanPlane line 16
  2. def OAI.ForcedComputation.planeCoordinates line 18
  3. theorem OAI.ForcedComputation.planeCoordinates_norm_le line 22
  4. theorem OAI.ForcedComputation.planeCoordinates_symm_norm_le line 28
  5. def OAI.ForcedComputation.euclideanMap line 41
  6. def OAI.ForcedComputation.euclideanLinear line 44
  7. theorem OAI.ForcedComputation.euclideanLinear_norm_le line 48
  8. theorem OAI.ForcedComputation.euclideanMap_fderiv line 63
  9. theorem OAI.ForcedComputation.euclideanLinear_sub line 69
  10. theorem OAI.ForcedComputation.euclideanLinear_lipschitz line 74
  11. theorem OAI.ForcedComputation.planeCoordinates_lipschitz line 80
  12. theorem OAI.ForcedComputation.euclideanMap_second_bound line 86
  13. def OAI.ForcedComputation.euclideanVariationCoefficient line 98
  14. theorem OAI.ForcedComputation.planar_euclidean_derivative_bounds line 101