Metamath Proof Explorer


Table of Contents - 9.2.1. Posets

  1. cpo
  2. cplt
  3. club
  4. cglb
  5. cjn
  6. cmee
  7. df-poset
  8. ispos
  9. ispos2
  10. posprs
  11. posi
  12. posref
  13. posasymb
  14. postr
  15. 0pos
  16. isposd
  17. isposi
  18. isposix
  19. df-plt
  20. pltfval
  21. pltval
  22. pltle
  23. pltne
  24. pltirr
  25. pleval2i
  26. pleval2
  27. pltnle
  28. pltval3
  29. pltnlt
  30. pltn2lp
  31. plttr
  32. pltletr
  33. plelttr
  34. pospo
  35. df-lub
  36. df-glb
  37. df-join
  38. df-meet
  39. lubfval
  40. lubdm
  41. lubfun
  42. lubeldm
  43. lubelss
  44. lubeu
  45. lubval
  46. lubcl
  47. lubprop
  48. luble
  49. lublecllem
  50. lublecl
  51. lubid
  52. glbfval
  53. glbdm
  54. glbfun
  55. glbeldm
  56. glbelss
  57. glbeu
  58. glbval
  59. glbcl
  60. glbprop
  61. glble
  62. joinfval
  63. joinfval2
  64. joindm
  65. joindef
  66. joinval
  67. joincl
  68. joindmss
  69. joinval2lem
  70. joinval2
  71. joineu
  72. joinlem
  73. lejoin1
  74. lejoin2
  75. joinle
  76. meetfval
  77. meetfval2
  78. meetdm
  79. meetdef
  80. meetval
  81. meetcl
  82. meetdmss
  83. meetval2lem
  84. meetval2
  85. meeteu
  86. meetlem
  87. lemeet1
  88. lemeet2
  89. meetle
  90. joincomALT
  91. joincom
  92. meetcomALT
  93. meetcom
  94. ctos
  95. df-toset
  96. istos
  97. tosso
  98. cp0
  99. cp1
  100. df-p0
  101. df-p1
  102. p0val
  103. p1val
  104. p0le
  105. ple1