OAI/Geometry/EinsteinFour/CoordinateChangeCalculus.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The finite coordinate chain rule used for changes of metric chart.

  1. def OAI.PositiveEinsteinFour.Geometry.jacobianMatrix line 15
  2. theorem OAI.PositiveEinsteinFour.Geometry.partialDeriv_comp line 18
  3. theorem OAI.PositiveEinsteinFour.Geometry.jacobian_entry_eq_partial line 36
  4. theorem OAI.PositiveEinsteinFour.Geometry.jacobian_entry_contDiffAt line 46
  5. theorem OAI.PositiveEinsteinFour.Geometry.matrixPartial_comp line 53
  6. theorem OAI.PositiveEinsteinFour.Geometry.jacobian_partials_commute line 62