OAI/Probability/SLE/Loewner/UnivalentInverseAnalytic.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The local inverse of an injective holomorphic map is holomorphic. The proof uses the open mapping theorem and removes the isolated possible singularity of the inverse, without a conformal mapping assumption.

  1. lemma OAI.SLEExactGauge.univalent_not_eventually_constant line 14
  2. lemma OAI.SLEExactGauge.univalent_nhds_le_map line 27
  3. lemma OAI.SLEExactGauge.univalent_inverse_continuousAt line 33
  4. lemma OAI.SLEExactGauge.univalent_deriv_eventually_ne line 46
  5. lemma OAI.SLEExactGauge.univalent_inverse_analyticAt line 60
  6. lemma OAI.SLEExactGauge.univalent_deriv_ne_zero line 89