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. dmmpogaOLD
  87. dmmpog
  88. mpoexxg
  89. mpoexg
  90. mpoexga
  91. mpoexw
  92. mpoex
  93. mptmpoopabbrd
  94. mptmpoopabovd
  95. el2mpocsbcl
  96. el2mpocl
  97. fnmpoovd
  98. offval22
  99. brovpreldm
  100. bropopvvv
  101. bropfvvvvlem
  102. bropfvvvv
  103. ovmptss
  104. relmpoopab
  105. fmpoco
  106. oprabco
  107. oprab2co
  108. df1st2
  109. df2nd2
  110. 1stconst
  111. 2ndconst
  112. dfmpo
  113. mposn
  114. curry1
  115. curry1val
  116. curry1f
  117. curry2
  118. curry2f
  119. curry2val
  120. cnvf1olem
  121. cnvf1o
  122. fparlem1
  123. fparlem2
  124. fparlem3
  125. fparlem4
  126. fpar
  127. fsplit
  128. fsplitOLD
  129. fsplitfpar
  130. offsplitfpar
  131. f2ndf
  132. fo2ndf
  133. f1o2ndf1
  134. opco1
  135. opco2
  136. opco1i
  137. frxp
  138. xporderlem
  139. poxp
  140. soxp
  141. wexp
  142. fnwelem
  143. fnwe
  144. fnse
  145. fvproj
  146. fimaproj