Metamath Proof Explorer
Table of Contents - 2.4.8. First and second members of an ordered pair
- c1st
- c2nd
- df-1st
- df-2nd
- 1stval
- 2ndval
- 1stnpr
- 2ndnpr
- 1st0
- 2nd0
- op1st
- op2nd
- op1std
- op2ndd
- op1stg
- op2ndg
- ot1stg
- ot2ndg
- ot3rdg
- 1stval2
- 2ndval2
- oteqimp
- fo1st
- fo2nd
- br1steqg
- br2ndeqg
- f1stres
- f2ndres
- fo1stres
- fo2ndres
- 1st2val
- 2nd2val
- 1stcof
- 2ndcof
- xp1st
- xp2nd
- elxp6
- elxp7
- eqopi
- xp2
- unielxp
- 1st2nd2
- 1st2ndb
- xpopth
- eqop
- eqop2
- op1steq
- opreuopreu
- el2xptp
- el2xptp0
- 2nd1st
- 1st2nd
- 1stdm
- 2ndrn
- 1st2ndbr
- releldm2
- reldm
- releldmdifi
- funfv1st2nd
- funelss
- funeldmdif
- sbcopeq1a
- csbopeq1a
- dfopab2
- dfoprab3s
- dfoprab3
- dfoprab4
- dfoprab4f
- opabex2
- opabn1stprc
- opiota
- cnvoprab
- dfxp3
- elopabi
- eloprabi
- mpomptsx
- mpompts
- dmmpossx
- fmpox
- fmpo
- fnmpo
- fnmpoi
- dmmpo
- ovmpoelrn
- dmmpoga
- dmmpogaOLD
- dmmpog
- mpoexxg
- mpoexg
- mpoexga
- mpoexw
- mpoex
- mptmpoopabbrd
- mptmpoopabovd
- el2mpocsbcl
- el2mpocl
- fnmpoovd
- offval22
- brovpreldm
- bropopvvv
- bropfvvvvlem
- bropfvvvv
- ovmptss
- relmpoopab
- fmpoco
- oprabco
- oprab2co
- df1st2
- df2nd2
- 1stconst
- 2ndconst
- dfmpo
- mposn
- curry1
- curry1val
- curry1f
- curry2
- curry2f
- curry2val
- cnvf1olem
- cnvf1o
- fparlem1
- fparlem2
- fparlem3
- fparlem4
- fpar
- fsplit
- fsplitOLD
- fsplitfpar
- offsplitfpar
- f2ndf
- fo2ndf
- f1o2ndf1
- opco1
- opco2
- opco1i
- frxp
- xporderlem
- poxp
- soxp
- wexp
- fnwelem
- fnwe
- fnse
- fvproj
- fimaproj