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. mptmpoopabbrdOLDOLD
  98. mptmpoopabovdOLD
  99. el2mpocsbcl
  100. el2mpocl
  101. fnmpoovd
  102. offval22
  103. brovpreldm
  104. bropopvvv
  105. bropfvvvvlem
  106. bropfvvvv
  107. ovmptss
  108. relmpoopab
  109. fmpoco
  110. oprabco
  111. oprab2co
  112. df1st2
  113. df2nd2
  114. 1stconst
  115. 2ndconst
  116. dfmpo
  117. mposn
  118. curry1
  119. curry1val
  120. curry1f
  121. curry2
  122. curry2f
  123. curry2val
  124. cnvf1olem
  125. cnvf1o
  126. fparlem1
  127. fparlem2
  128. fparlem3
  129. fparlem4
  130. fpar
  131. fsplit
  132. fsplitfpar
  133. offsplitfpar
  134. f2ndf
  135. fo2ndf
  136. f1o2ndf1
  137. opco1
  138. opco2
  139. opco1i
  140. frxp
  141. xporderlem
  142. poxp
  143. soxp
  144. wexp
  145. fnwelem
  146. fnwe
  147. fnse
  148. fvproj
  149. fimaproj
  150. ralxpes
  151. ralxp3f
  152. ralxp3
  153. ralxp3es