OAI/Analysis/CircleDomains/Probability/StartingLawBoundaryGate.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The boundary starting law of the compact disk-arc family is the actual pushed-forward law of the original arc starts. Gate inequalities and atomlessness therefore pass to the mean construction without an extra hypothesis about its boundary measure.

  1. theorem OAI.CircleDomainRigidity.compact_startingLaw_eq_centered line 22
  2. theorem OAI.CircleDomainRigidity.compact_startingLaw_atomless line 38
  3. theorem OAI.CircleDomainRigidity.compact_startingLaw_gate line 56