OAI/Combinatorics/Progressions/Estimates/SaturatedFlag.lean

GitHub source file

35 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.IsSaturated line 20
  2. def OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.IsAdaptedTo line 23
  3. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.isSaturated_bot line 27
  4. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.isSaturated_top line 33
  5. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.IsSaturated.comap_subtype line 37
  6. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.IsSaturated.comap_subtype_of_le line 45
  7. def OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.rationalEmbed line 50
  8. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.rationalEmbed_apply line 59
  9. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.rationalEmbed_zsmul line 62
  10. def OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.rationalSpanLattice line 67
  11. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.mem_rationalSpanLattice line 72
  12. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.isSaturated_rationalSpanLattice line 78
  13. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.rationalSpanLattice_mono line 90
  14. def OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.realEmbed line 96
  15. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.realEmbed_apply line 105
  16. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.realEmbed_zsmul line 108
  17. def OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.realPrefixLattice line 113
  18. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.mem_realPrefixLattice line 118
  19. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.isSaturated_realPrefixLattice line 125
  20. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.monotone_realPrefixLattice line 139
  21. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.self_mem_realPrefixLattice line 147
  22. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.smithVector_mem_of_isSaturated line 160
  23. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.exists_isCompl_of_isSaturated line 173
  24. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.exists_basis_extending_of_isSaturated line 210
  25. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.span_image_inl_eq_of_span_comap_eq line 224
  26. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.span_range_inl_prod_eq line 246
  27. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.exists_basis_with_repr_eq_zero_iff line 275
  28. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.exists_basis_with_nested_supports_of_saturated_flag line 310
  29. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.exists_basis_adapted_to_saturated_flag line 372
  30. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.exists_basis_with_nested_supports_of_monotone_saturated_flag line 382
  31. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.repr_eq_zero_of_mem_span_image line 403
  32. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.exists_basis_with_nested_supports_rationalSpanLattice line 411
  33. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.exists_basis_with_nested_supports_realPrefixLattice line 427
  34. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.exists_fin_basis_with_nested_supports_realPrefixLattice line 437
  35. theorem OAI.Erdos3.IntegerBasisReduction.SaturatedFlag.exists_prefix_adapted_basis_realPrefixLattice line 471