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. eqeqan12dALT
  29. eqtr
  30. eqtr2
  31. eqtr3
  32. eqtri
  33. eqtr2i
  34. eqtr3i
  35. eqtr4i
  36. 3eqtri
  37. 3eqtrri
  38. 3eqtr2i
  39. 3eqtr2ri
  40. 3eqtr3i
  41. 3eqtr3ri
  42. 3eqtr4i
  43. 3eqtr4ri
  44. eqtrd
  45. eqtr2d
  46. eqtr3d
  47. eqtr4d
  48. 3eqtrd
  49. 3eqtrrd
  50. 3eqtr2d
  51. 3eqtr2rd
  52. 3eqtr3d
  53. 3eqtr3rd
  54. 3eqtr4d
  55. 3eqtr4rd
  56. eqtrid
  57. eqtr2id
  58. eqtr3id
  59. eqtr3di
  60. eqtrdi
  61. eqtr2di
  62. eqtr4di
  63. eqtr4id
  64. sylan9eq
  65. sylan9req
  66. sylan9eqr
  67. 3eqtr3g
  68. 3eqtr3a
  69. 3eqtr4g
  70. 3eqtr4a
  71. eq2tri
  72. iseqsetvlem
  73. iseqsetv-cleq
  74. abbi
  75. abbidv
  76. abbii
  77. abbid
  78. abbib
  79. cbvabv
  80. cbvabw
  81. cbvab
  82. eqabbw