OAI/Analysis/CircleDomains/Probability/DyadicPhysicalOccupation.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

The Borel limit of the increasing dyadic physical occupation measures. Its mass is the dyadic domain-length functional, and it is supported in the physical domain. PhysicalLengthCharacterization identifies the associated time measure with compact-interval arclength and componentwise exhaustion.

  1. abbrev OAI.CircleDomainRigidity.FinitePhysicalPath line 21
  2. def OAI.CircleDomainRigidity.dyadicPhysicalOccupation line 24
  3. theorem OAI.CircleDomainRigidity.dyadicPhysicalOccupation_apply line 28
  4. theorem OAI.CircleDomainRigidity.dyadicPhysicalOccupation_univ line 33
  5. instance OAI.CircleDomainRigidity.(instance at line 39) line 39
  6. theorem OAI.CircleDomainRigidity.physicalStageOccupation_compl line 43
  7. theorem OAI.CircleDomainRigidity.dyadicPhysicalOccupation_compl line 63
  8. theorem OAI.CircleDomainRigidity.measurable_dyadicPhysicalOccupation line 71
  9. theorem OAI.CircleDomainRigidity.standardBorel_finitePhysicalPath line 78