Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wceq 1353
wcel 2148
cop 3595
cxp 4624
cfv 5216
c1st 6138
c2nd 6139 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 709
ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-13 2150 ax-14 2151 ax-ext 2159 ax-sep 4121 ax-pow 4174 ax-pr 4209 ax-un 4433 |
This theorem depends on definitions:
df-bi 117 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 df-rex 2461 df-v 2739 df-sbc 2963 df-un 3133 df-in 3135 df-ss 3142 df-pw 3577 df-sn 3598 df-pr 3599 df-op 3601 df-uni 3810 df-br 4004 df-opab 4065 df-mpt 4066 df-id 4293 df-xp 4632 df-rel 4633 df-cnv 4634 df-co 4635 df-dm 4636 df-rn 4637 df-iota 5178 df-fun 5218 df-fv 5224 df-1st 6140 df-2nd 6141 |
This theorem is referenced by: xpopth
6176 eqop
6177 2nd1st
6180 1st2nd
6181 xpmapenlem
6848 djuf1olem
7051 exmidapne
7258 dfplpq2
7352 dfmpq2
7353 enqbreq2
7355 enqdc1
7360 preqlu
7470 prop
7473 elnp1st2nd
7474 cauappcvgprlemladd
7656 elreal2
7828 cnref1o
9649 frecuzrdgrrn
10407 frec2uzrdg
10408 frecuzrdgrcl
10409 frecuzrdgsuc
10413 frecuzrdgrclt
10414 frecuzrdgg
10415 frecuzrdgdomlem
10416 frecuzrdgfunlem
10418 frecuzrdgsuctlem
10422 seq3val
10457 seqvalcd
10458 eucalgval
12053 eucalginv
12055 eucalglt
12056 eucalg
12058 sqpweven
12174 2sqpwodd
12175 qnumdenbi
12191 xpsff1o
12767 tx1cn
13739 tx2cn
13740 txdis
13747 psmetxrge0
13802 xmetxpbl
13978 |