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. el2xpss
  52. 2nd1st
  53. 1st2nd
  54. 1stdm
  55. 2ndrn
  56. 1st2ndbr
  57. releldm2
  58. reldm
  59. releldmdifi
  60. funfv1st2nd
  61. funelss
  62. funeldmdif
  63. sbcopeq1a
  64. csbopeq1a
  65. sbcoteq1a
  66. dfopab2
  67. dfoprab3s
  68. dfoprab3
  69. dfoprab4
  70. dfoprab4f
  71. opabex2
  72. opabn1stprc
  73. opiota
  74. cnvoprab
  75. dfxp3
  76. elopabi
  77. eloprabi
  78. mpomptsx
  79. mpompts
  80. dmmpossx
  81. fmpox
  82. fmpo
  83. fnmpo
  84. fnmpoi
  85. dmmpo
  86. ovmpoelrn
  87. dmmpoga
  88. dmmpog
  89. mpoexxg
  90. mpoexg
  91. mpoexga
  92. mpoexw
  93. mpoex
  94. mptmpoopabbrd
  95. mptmpoopabbrdOLD
  96. mptmpoopabovd
  97. el2mpocsbcl
  98. el2mpocl
  99. fnmpoovd
  100. offval22
  101. brovpreldm
  102. bropopvvv
  103. bropfvvvvlem
  104. bropfvvvv
  105. ovmptss
  106. relmpoopab
  107. fmpoco
  108. oprabco
  109. oprab2co
  110. df1st2
  111. df2nd2
  112. 1stconst
  113. 2ndconst
  114. dfmpo
  115. mposn
  116. curry1
  117. curry1val
  118. curry1f
  119. curry2
  120. curry2f
  121. curry2val
  122. cnvf1olem
  123. cnvf1o
  124. fparlem1
  125. fparlem2
  126. fparlem3
  127. fparlem4
  128. fpar
  129. fsplit
  130. fsplitfpar
  131. offsplitfpar
  132. f2ndf
  133. fo2ndf
  134. f1o2ndf1
  135. opco1
  136. opco2
  137. opco1i
  138. frxp
  139. xporderlem
  140. poxp
  141. soxp
  142. wexp
  143. fnwelem
  144. fnwe
  145. fnse
  146. fvproj
  147. fimaproj
  148. ralxpes
  149. ralxp3f
  150. ralxp3
  151. ralxp3es