Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wceq 1364
wcel 2160
wral 2468
wreu 2470
cop 3610
class class class wbr 4018 wf 5228 cfv 5232 crio 5847 (class class class)co 5892
cec 6552
cnpi 7291
cnp 7310
c1p 7311
cpp 7312
cer 7315
cnr 7316
c0r 7317
c1r 7318
cltr 7322 |
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-in1 615 ax-in2 616 ax-io 710
ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-13 2162 ax-14 2163 ax-ext 2171 ax-coll 4133 ax-sep 4136 ax-nul 4144 ax-pow 4189 ax-pr 4224 ax-un 4448 ax-setind 4551 ax-iinf 4602 |
This theorem depends on definitions:
df-bi 117 df-dc 836
df-3or 981 df-3an 982 df-tru 1367 df-fal 1370 df-nf 1472 df-sb 1774 df-eu 2041 df-mo 2042 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-ne 2361 df-ral 2473 df-rex 2474 df-reu 2475 df-rmo 2476 df-rab 2477 df-v 2754 df-sbc 2978 df-csb 3073 df-dif 3146 df-un 3148 df-in 3150 df-ss 3157 df-nul 3438 df-pw 3592 df-sn 3613 df-pr 3614 df-op 3616 df-uni 3825 df-int 3860 df-iun 3903 df-br 4019 df-opab 4080 df-mpt 4081 df-tr 4117 df-eprel 4304 df-id 4308 df-po 4311 df-iso 4312 df-iord 4381 df-on 4383 df-suc 4386 df-iom 4605 df-xp 4647 df-rel 4648 df-cnv 4649 df-co 4650 df-dm 4651 df-rn 4652 df-res 4653 df-ima 4654 df-iota 5193 df-fun 5234 df-fn 5235 df-f 5236 df-f1 5237 df-fo 5238 df-f1o 5239 df-fv 5240 df-riota 5848 df-ov 5895 df-oprab 5896 df-mpo 5897 df-1st 6160 df-2nd 6161 df-recs 6325 df-irdg 6390 df-1o 6436 df-2o 6437 df-oadd 6440 df-omul 6441 df-er 6554 df-ec 6556 df-qs 6560 df-ni 7323 df-pli 7324 df-mi 7325 df-lti 7326 df-plpq 7363 df-mpq 7364 df-enq 7366 df-nqqs 7367 df-plqqs 7368 df-mqqs 7369 df-1nqqs 7370 df-rq 7371 df-ltnqqs 7372 df-enq0 7443 df-nq0 7444 df-0nq0 7445 df-plq0 7446 df-mq0 7447 df-inp 7485 df-i1p 7486 df-iplp 7487 df-iltp 7489 df-enr 7745 df-nr 7746 df-ltr 7749 df-0r 7750 df-1r 7751 |
This theorem is referenced by: caucvgsrlemfv
7810 caucvgsrlemf
7811 |