OAI/MathematicalPhysics/NavierStokes/ForcedComputation/Scalar/BoundedSpatialJetJointSmooth.lean

GitHub source file

17 declarations, 0 contain sorry, 0 declared as axioms

Smooth time curves of compatible spatial jets are jointly smooth on the closed slab.

  1. structure OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves line 18
  2. def OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.value line 26
  3. theorem OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.value_eq line 29
  4. theorem OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.value_slice_smooth line 39
  5. theorem OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.value_continuousOn line 46
  6. def OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.timeDerivative line 55
  7. def OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.spaceDerivative line 69
  8. theorem OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.value_spaceDerivative line 78
  9. theorem OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.value_time_hasDerivWithinAt line 85
  10. def OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.spatialDerivative line 94
  11. def OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.totalDerivative line 97
  12. theorem OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.spatialDerivative_eq line 101
  13. theorem OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.spatialDerivative_continuousOn line 116
  14. theorem OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.totalDerivative_continuousOn line 120
  15. theorem OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.value_hasFDerivAt_interior line 125
  16. theorem OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.value_hasFDerivWithinAt line 152
  17. theorem OAI.ForcedComputation.BoundedSpatialJets.SmoothPlaneCurves.value_contDiffOn line 170