OAI/Geometry/SurfaceImmersion/Whitney/SmoothArcJoin.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Smooth joining at a common germ, with regularity and injectivity retained on the two ordered pieces of the parameter interval.

  1. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.joinedCurve line 14
  2. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.joinedCurve_germ_left line 16
  3. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.joinedCurve_germ_right line 21
  4. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.joinedCurve_germ_center line 26
  5. theorem OAI.ClosedSurfaceR4.FiniteOrderSmoothing.joinedCurve_smooth_on line 39
  6. theorem OAI.ClosedSurfaceR4.FiniteOrderSmoothing.joinedCurve_regular_on line 51
  7. theorem OAI.ClosedSurfaceR4.FiniteOrderSmoothing.joinedCurve_injective_on line 68