OAI/Computability/VertexCover/PCP/GraphGap.lean

GitHub source file

23 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.UniqueGames.Foundations.PCP.ConstraintGraph.rejectionCounts line 19
  2. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.rejectionCounts_nonempty line 23
  3. def OAI.UniqueGames.Foundations.PCP.ConstraintGraph.minimumRejections line 28
  4. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.minimumRejections_le line 31
  5. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.exists_minimizer line 36
  6. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.le_minimumRejections_iff line 43
  7. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.minimumRejections_le_card line 53
  8. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.rejectionCount_eq_zero_iff line 60
  9. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.minimumRejections_eq_zero_iff line 75
  10. def OAI.UniqueGames.Foundations.PCP.ConstraintGraph.gap line 85
  11. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.gap_nonnegative line 88
  12. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.gap_le_one line 91
  13. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.gap_eq_zero_iff line 97
  14. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.le_gap_iff line 103
  15. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.inverse_card_le_gap_of_unsatisfiable line 116
  16. def OAI.UniqueGames.Foundations.PCP.ConstraintGraph.reindex line 130
  17. def OAI.UniqueGames.Foundations.PCP.ConstraintGraph.labelingEquiv line 144
  18. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.reindex_edgeSatisfied line 150
  19. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.reindex_rejectionCount line 157
  20. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.rejectionCounts_reindex line 181
  21. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.minimumRejections_reindex line 198
  22. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.gap_reindex line 204
  23. theorem OAI.UniqueGames.Foundations.PCP.ConstraintGraph.satisfiable_reindex line 210