OAI/Combinatorics/IndependentSets/Repetition/Sampling.lean

GitHub source file

20 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.IndependentSetsGames.Foundations.Games.FiniteDistribution.iid_pushforward line 11
  2. def OAI.IndependentSetsGames.Foundations.Games.FiniteDistribution.uniform line 31
  3. theorem OAI.IndependentSetsGames.Foundations.Games.FiniteDistribution.iid_uniform line 40
  4. theorem OAI.IndependentSetsGames.Foundations.Games.FiniteDistribution.expectation_uniform line 47
  5. def OAI.IndependentSetsGames.Foundations.Games.FiniteDistribution.condition line 63
  6. theorem OAI.IndependentSetsGames.Foundations.Games.FiniteDistribution.probability_condition line 79
  7. theorem OAI.IndependentSetsGames.Foundations.Games.FiniteDistribution.probability_inter_eq_mul_conditional line 88
  8. theorem OAI.IndependentSetsGames.Foundations.Games.FiniteDistribution.probability_and_le_left line 96
  9. theorem OAI.IndependentSetsGames.Foundations.Games.FiniteDistribution.probability_and_le_right line 103
  10. theorem OAI.IndependentSetsGames.Foundations.Games.FiniteDistribution.probability_and_eq_zero_of_probability_eq_zero line 110
  11. theorem OAI.IndependentSetsGames.Foundations.Games.FiniteDistribution.probability_condition_given line 117
  12. theorem OAI.IndependentSetsGames.Foundations.Games.Game.selectedWins_insert line 131
  13. def OAI.IndependentSetsGames.Foundations.Games.Game.selectedSuccess line 142
  14. theorem OAI.IndependentSetsGames.Foundations.Games.Game.selectedSuccess_nonnegative line 147
  15. theorem OAI.IndependentSetsGames.Foundations.Games.Game.selectedSuccess_le_one line 152
  16. theorem OAI.IndependentSetsGames.Foundations.Games.Game.selectedSuccess_empty line 157
  17. theorem OAI.IndependentSetsGames.Foundations.Games.Game.selectedSuccess_univ line 164
  18. theorem OAI.IndependentSetsGames.Foundations.Games.Game.selectedSuccess_antitone line 170
  19. theorem OAI.IndependentSetsGames.Foundations.Games.Game.selectedSuccess_insert line 176
  20. theorem OAI.IndependentSetsGames.Foundations.Games.Game.selectedSuccess_insert_eq_zero line 188