OAI/Analysis/CircleDomains/Selection/PhysicalRawCompatibility.lean

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Raw barrier compatibility for smooth finite-energy representatives of the earlier coordinates. The tagged-path inequality and band budget give compatibility using planar coarea, analytic measurability on finite tori, and arcs in connected open subsets.

  1. theorem OAI.CircleDomainRigidity.raw_barrier_compatibility_with_physical_coordinates line 22