Metamath Proof Explorer


Table of Contents - 20.25.7. Atoms, hyperplanes, and covering in a left vector space (or module)

  1. clsa
  2. clsh
  3. df-lsatoms
  4. df-lshyp
  5. lshpset
  6. islshp
  7. islshpsm
  8. lshplss
  9. lshpne
  10. lshpnel
  11. lshpnelb
  12. lshpnel2N
  13. lshpne0
  14. lshpdisj
  15. lshpcmp
  16. lshpinN
  17. lsatset
  18. islsat
  19. lsatlspsn2
  20. lsatlspsn
  21. islsati
  22. lsateln0
  23. lsatlss
  24. lsatlssel
  25. lsatssv
  26. lsatn0
  27. lsatspn0
  28. lsator0sp
  29. lsatssn0
  30. lsatcmp
  31. lsatcmp2
  32. lsatel
  33. lsatelbN
  34. lsat2el
  35. lsmsat
  36. lsatfixedN
  37. lsmsatcv
  38. lssatomic
  39. lssats
  40. lpssat
  41. lrelat
  42. lssatle
  43. lssat
  44. islshpat
  45. clcv
  46. df-lcv
  47. lcvfbr
  48. lcvbr
  49. lcvbr2
  50. lcvbr3
  51. lcvpss
  52. lcvnbtwn
  53. lcvntr
  54. lcvnbtwn2
  55. lcvnbtwn3
  56. lsmcv2
  57. lcvat
  58. lsatcv0
  59. lsatcveq0
  60. lsat0cv
  61. lcvexchlem1
  62. lcvexchlem2
  63. lcvexchlem3
  64. lcvexchlem4
  65. lcvexchlem5
  66. lcvexch
  67. lcvp
  68. lcv1
  69. lcv2
  70. lsatexch
  71. lsatnle
  72. lsatnem0
  73. lsatexch1
  74. lsatcv0eq
  75. lsatcv1
  76. lsatcvatlem
  77. lsatcvat
  78. lsatcvat2
  79. lsatcvat3
  80. islshpcv
  81. l1cvpat
  82. l1cvat
  83. lshpat