Metamath Proof Explorer


Table of Contents - 2.1.2.2. Class equality

This section introduces class equality in df-cleq.

Note that apart from the local introduction of class variables to state the syntax axioms wceq and wcel, this section is the first to use class variables. Therefore, the file set.mm contains declarations of class variables at the beginning of this section (not visible on the webpages).

  1. df-cleq
  2. dfcleq
  3. cvjust
  4. ax9ALT
  5. eleq2w2
  6. eqriv
  7. eqrdv
  8. eqrdav
  9. eqid
  10. eqidd
  11. eqeq1d
  12. eqeq1dALT
  13. eqeq1
  14. eqeq1i
  15. eqcomd
  16. eqcom
  17. eqcoms
  18. eqcomi
  19. neqcomd
  20. eqeq2d
  21. eqeq2
  22. eqeq2i
  23. eqeqan12d
  24. eqeqan12rd
  25. eqeq12d
  26. eqeq12
  27. eqeq12i
  28. eqeq12OLD
  29. eqeq12dOLD
  30. eqeqan12dOLD
  31. eqeqan12dALT
  32. eqtr
  33. eqtr2
  34. eqtr2OLD
  35. eqtr3
  36. eqtr3OLD
  37. eqtri
  38. eqtr2i
  39. eqtr3i
  40. eqtr4i
  41. 3eqtri
  42. 3eqtrri
  43. 3eqtr2i
  44. 3eqtr2ri
  45. 3eqtr3i
  46. 3eqtr3ri
  47. 3eqtr4i
  48. 3eqtr4ri
  49. eqtrd
  50. eqtr2d
  51. eqtr3d
  52. eqtr4d
  53. 3eqtrd
  54. 3eqtrrd
  55. 3eqtr2d
  56. 3eqtr2rd
  57. 3eqtr3d
  58. 3eqtr3rd
  59. 3eqtr4d
  60. 3eqtr4rd
  61. syl5eq
  62. eqtr2id
  63. eqtr3id
  64. eqtr3di
  65. eqtrdi
  66. eqtr2di
  67. eqtr4di
  68. eqtr4id
  69. sylan9eq
  70. sylan9req
  71. sylan9eqr
  72. 3eqtr3g
  73. 3eqtr3a
  74. 3eqtr4g
  75. 3eqtr4a
  76. eq2tri
  77. abbi1
  78. abbidv
  79. abbii
  80. abbid
  81. abbi
  82. cbvabv
  83. cbvabw
  84. cbvabwOLD
  85. cbvab
  86. abeq2w