OAI/Analysis/CircleDomains/Topology/MeanIndexCircle.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The actual mean index descends through the logarithmic cover to a circle-valued coordinate. Every continuous local lift represents the same coordinate; no choice of branch is part of the resulting map.

  1. theorem OAI.CircleDomainRigidity.diskRayProjection_eq_implies_translate line 17
  2. theorem OAI.CircleDomainRigidity.meanGeometricIndex_mod_eq_of_projection_eq line 33
  3. def OAI.CircleDomainRigidity.diskMeanCircle line 44
  4. theorem OAI.CircleDomainRigidity.diskMeanCircle_projection line 50
  5. theorem OAI.CircleDomainRigidity.diskMeanCircle_eq_local_mean line 61
  6. theorem OAI.CircleDomainRigidity.continuousOn_diskMeanCircle_comp line 71