OAI/Geometry/RCD/Coordinates/CovectorCommutator.lean

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Recovering the difference of radial operators in covector order

  1. theorem OAI.RegularPointCoordinates.covector_commutator_norm_le line 14

    Source documentation

    The affine Sobolev identity acts on covectors, so its commutator has this reversed order. The same near-identity absorption controls B.

    theorem covector_commutator_norm_le (A B : E →L[ℝ] E)
        (hA : ‖A - 1‖ ≤ 1 / 4) {η : ℝ}
        (herror : ‖A * B - B * (A - 1)‖ ≤ η) : ‖B‖ ≤ 2 * η := by
    …