OAI/Geometry/SurfaceImmersion/Whitney/RegularPathCover.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

A finite closed-interval cover records actual smooth arc formulas for paths assembled by subdivision and concatenation. Slopes may be zero before injectivity of the assembled path is imposed.

  1. structure OAI.ClosedSurfaceR4.FiniteOrderSmoothing.RegularPathCover line 16
  2. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.RegularPathCover.affine_preimage_convex line 32
  3. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.RegularPathCover.ofArc line 44
  4. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.RegularPathCover.cast line 66
  5. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.RegularPathCover.subpath line 81