OAI/Analysis/CircleDomains/Probability/CompactProbabilityBorel.lean

GitHub source file

2 declarations, 0 contain sorry, 0 declared as axioms

On a compact metrizable space, countably many continuous test integrals embed the probability laws in a countable product. Their weak topology is Polish and its Borel sigma algebra is precisely the evaluation sigma algebra.

  1. lemma OAI.CircleDomainRigidity.compact_probability_borel line 15
  2. lemma OAI.CircleDomainRigidity.compact_probability_polish line 56