OAI/Analysis/CircleDomains/Topology/BoundaryStieltjes.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

The Stieltjes measure of the averaged boundary index is precisely the starting-point law on a lifted fundamental interval.

  1. theorem OAI.CircleDomainRigidity.monotone_boundaryIndexMean line 14
  2. def OAI.CircleDomainRigidity.boundaryIndexStieltjes line 22
  3. theorem OAI.CircleDomainRigidity.boundaryIndexStieltjes_unit_mass line 28
  4. theorem OAI.CircleDomainRigidity.boundaryIndexStieltjes_restrict line 36
  5. theorem OAI.CircleDomainRigidity.boundaryIndexStieltjes_integral line 65