OAI/Probability/SLE/Geometry/ActualFiniteBoundaryExtension.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

The finite boundary extension required by the SLE application, proved from the capacity witness. Small inverse half-disks are Cauchy; completeness gives the boundary limits and the existing tip limit fixes the extension at the driver.

  1. lemma OAI.SLEExactGauge.IsCapacityTwoWitness.finite_real_boundary_limit line 17
  2. theorem OAI.SLEExactGauge.actual_finiteLoewnerBoundaryExtension line 41

    Source documentation

    Continuous finite boundary extension of the inverse Loewner map.

    theorem actual_finiteLoewnerBoundaryExtension : PublishedFiniteLoewnerBoundaryExtension := by
    …

    Mentions: OAI.SLEExactGauge.PublishedFiniteLoewnerBoundaryExtension