OAI/Computability/VertexCover/PCP/CodeComposition.lean

GitHub source file

25 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.UniqueGames.Foundations.PCP.CodeComposition.disagreement line 15
  2. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.disagreement_self line 17
  3. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.disagreement_nonnegative line 20
  4. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.disagreement_le_one line 23
  5. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.disagreement_comm line 26
  6. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.disagreement_triangle line 29
  7. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.disagreement_eq_sign line 33
  8. def OAI.UniqueGames.Foundations.PCP.CodeComposition.relativeDistance line 37
  9. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.relativeDistance_self line 40
  10. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.relativeDistance_nonnegative line 44
  11. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.relativeDistance_comm line 48
  12. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.relativeDistance_triangle line 52
  13. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.relativeDistance_eq_sign line 58
  14. def OAI.UniqueGames.Foundations.PCP.CodeComposition.codeword line 65
  15. def OAI.UniqueGames.Foundations.PCP.CodeComposition.singletonMask line 67
  16. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.walsh_singletonMask line 70
  17. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.singletonMask_ne line 80
  18. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.codeword_distance line 86
  19. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.exists_nearest line 97
  20. def OAI.UniqueGames.Foundations.PCP.CodeComposition.nearest line 105
  21. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.nearest_minimal line 108
  22. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.distance_from_other_codeword line 113
  23. def OAI.UniqueGames.Foundations.PCP.CodeComposition.pairWord line 121
  24. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.pairWord_distance line 124
  25. theorem OAI.UniqueGames.Foundations.PCP.CodeComposition.rejected_pair_far line 133