Metamath Proof Explorer


Table of Contents - 2.4.8. First and second members of an ordered pair

  1. c1st
  2. c2nd
  3. df-1st
  4. df-2nd
  5. 1stval
  6. 2ndval
  7. 1stnpr
  8. 2ndnpr
  9. 1st0
  10. 2nd0
  11. op1st
  12. op2nd
  13. op1std
  14. op2ndd
  15. op1stg
  16. op2ndg
  17. ot1stg
  18. ot2ndg
  19. ot3rdg
  20. 1stval2
  21. 2ndval2
  22. oteqimp
  23. fo1st
  24. fo2nd
  25. br1steqg
  26. br2ndeqg
  27. f1stres
  28. f2ndres
  29. fo1stres
  30. fo2ndres
  31. 1st2val
  32. 2nd2val
  33. 1stcof
  34. 2ndcof
  35. xp1st
  36. xp2nd
  37. elxp6
  38. elxp7
  39. eqopi
  40. xp2
  41. unielxp
  42. 1st2nd2
  43. 1st2ndb
  44. xpopth
  45. eqop
  46. eqop2
  47. op1steq
  48. opreuopreu
  49. el2xptp
  50. el2xptp0
  51. 2nd1st
  52. 1st2nd
  53. 1stdm
  54. 2ndrn
  55. 1st2ndbr
  56. releldm2
  57. reldm
  58. releldmdifi
  59. funfv1st2nd
  60. funelss
  61. funeldmdif
  62. sbcopeq1a
  63. csbopeq1a
  64. dfopab2
  65. dfoprab3s
  66. dfoprab3
  67. dfoprab4
  68. dfoprab4f
  69. opabex2
  70. opabn1stprc
  71. opiota
  72. cnvoprab
  73. dfxp3
  74. elopabi
  75. eloprabi
  76. mpomptsx
  77. mpompts
  78. dmmpossx
  79. fmpox
  80. fmpo
  81. fnmpo
  82. fnmpoi
  83. dmmpo
  84. ovmpoelrn
  85. dmmpoga
  86. dmmpog
  87. mpoexxg
  88. mpoexg
  89. mpoexga
  90. mpoexw
  91. mpoex
  92. mptmpoopabbrd
  93. mptmpoopabovd
  94. el2mpocsbcl
  95. el2mpocl
  96. fnmpoovd
  97. offval22
  98. brovpreldm
  99. bropopvvv
  100. bropfvvvvlem
  101. bropfvvvv
  102. ovmptss
  103. relmpoopab
  104. fmpoco
  105. oprabco
  106. oprab2co
  107. df1st2
  108. df2nd2
  109. 1stconst
  110. 2ndconst
  111. dfmpo
  112. mposn
  113. curry1
  114. curry1val
  115. curry1f
  116. curry2
  117. curry2f
  118. curry2val
  119. cnvf1olem
  120. cnvf1o
  121. fparlem1
  122. fparlem2
  123. fparlem3
  124. fparlem4
  125. fpar
  126. fsplit
  127. fsplitOLD
  128. fsplitfpar
  129. offsplitfpar
  130. f2ndf
  131. fo2ndf
  132. f1o2ndf1
  133. algrflem
  134. frxp
  135. xporderlem
  136. poxp
  137. soxp
  138. wexp
  139. fnwelem
  140. fnwe
  141. fnse
  142. fvproj
  143. fimaproj