OAI/Geometry/SurfaceImmersion/Atlas/AtlasMetricReadGerms.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

A metric atlas reading agrees as a germ with the actual coordinate metric when the outer cutoff is locally one. This also identifies its first derivative, as required by the connection estimates.

  1. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.tensorPlaneRead_metric_outer_one line 35
  2. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.tensorPlaneRead_metric_germ line 54
  3. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.tensorPlaneRead_metric_firstJet line 71