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. mptmpoopabovd
  96. el2mpocsbcl
  97. el2mpocl
  98. fnmpoovd
  99. offval22
  100. brovpreldm
  101. bropopvvv
  102. bropfvvvvlem
  103. bropfvvvv
  104. ovmptss
  105. relmpoopab
  106. fmpoco
  107. oprabco
  108. oprab2co
  109. df1st2
  110. df2nd2
  111. 1stconst
  112. 2ndconst
  113. dfmpo
  114. mposn
  115. curry1
  116. curry1val
  117. curry1f
  118. curry2
  119. curry2f
  120. curry2val
  121. cnvf1olem
  122. cnvf1o
  123. fparlem1
  124. fparlem2
  125. fparlem3
  126. fparlem4
  127. fpar
  128. fsplit
  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
  147. ralxpes
  148. ralxp3f
  149. ralxp3
  150. ralxp3es