OAI/Geometry/SurfaceImmersion/Correction/PolynomialCorrectorRepresentation.lean

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The actual periodic system admits the polynomial solution whose order bounds were established in JetPolynomialFullCorrector.

  1. theorem OAI.ClosedSurfaceR4.JetPolynomial.exists_polynomial_system line 16

    Source documentation

    The family solving the complete periodic system has the represented four-coordinate correction. All equations and the zero-support property are retained from the actual periodic solver.

    theorem exists_polynomial_system {S : TopologicalSpace.Opens Base} {O : Set LowJet}
        (hO : IsOpen O) (v : Fin 2) (g : Geometry (E := R4) S (coordinateVector v))
    …

    Mentions: OAI.ClosedSurfaceR4.JetPolynomial.Base, OAI.ClosedSurfaceR4.JetPolynomial.LowJet, OAI.ClosedSurfaceR4.JetPolynomial.R4, OAI.ClosedSurfaceR4.JetPolynomial.coordinateVector