OAI/Computability/PerfectCompleteness/Sampling/CandidateCoupling.lean

GitHub source file

17 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.PerfectCompleteness.CandidateCoupling.selected_probability line 19
  2. theorem OAI.PerfectCompleteness.CandidateCoupling.selected_pushforward line 33
  3. theorem OAI.PerfectCompleteness.CandidateCoupling.expectation_sigmaLaw line 46
  4. theorem OAI.PerfectCompleteness.CandidateCoupling.probability_eq_expectation line 55
  5. theorem OAI.PerfectCompleteness.CandidateCoupling.expectation_div line 61
  6. abbrev OAI.PerfectCompleteness.CandidateCoupling.DirectionTuple line 68
  7. def OAI.PerfectCompleteness.CandidateCoupling.directionsLaw line 72
  8. theorem OAI.PerfectCompleteness.CandidateCoupling.directions_marginal line 76
  9. theorem OAI.PerfectCompleteness.CandidateCoupling.directions_expectation_product line 82
  10. def OAI.PerfectCompleteness.CandidateCoupling.selectedTupleLaw line 90
  11. theorem OAI.PerfectCompleteness.CandidateCoupling.selectedTupleLaw_pushforward line 96
  12. def OAI.PerfectCompleteness.CandidateCoupling.candidateFraction line 104
  13. theorem OAI.PerfectCompleteness.CandidateCoupling.choice_probability_candidateFraction line 108
  14. abbrev OAI.PerfectCompleteness.CandidateCoupling.Shared line 128
  15. def OAI.PerfectCompleteness.CandidateCoupling.conditionalSharedLaw line 133
  16. def OAI.PerfectCompleteness.CandidateCoupling.sharedLaw line 141
  17. theorem OAI.PerfectCompleteness.CandidateCoupling.candidate_average_shared line 148