Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wceq 1353
wcel 2148
cvv 2738
cuni 3810
cxp 4625
crn 4628
cfv 5217
(class class class)co 5875 cmpo 5877 ctg 12703 ctop 13500 TopOnctopon 13513 ctx 13755 |
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 614 ax-in2 615 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-coll 4119 ax-sep 4122 ax-pow 4175 ax-pr 4210 ax-un 4434 ax-setind 4537 |
This theorem depends on definitions:
df-bi 117 df-3an 980 df-tru 1356 df-fal 1359 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-ne 2348 df-ral 2460 df-rex 2461 df-reu 2462 df-rab 2464 df-v 2740 df-sbc 2964 df-csb 3059 df-dif 3132 df-un 3134 df-in 3136 df-ss 3143 df-pw 3578 df-sn 3599 df-pr 3600 df-op 3602 df-uni 3811 df-iun 3889 df-br 4005 df-opab 4066 df-mpt 4067 df-id 4294 df-xp 4633 df-rel 4634 df-cnv 4635 df-co 4636 df-dm 4637 df-rn 4638 df-res 4639 df-ima 4640 df-iota 5179 df-fun 5219 df-fn 5220 df-f 5221 df-f1 5222 df-fo 5223 df-f1o 5224 df-fv 5225 df-ov 5878 df-oprab 5879 df-mpo 5880 df-1st 6141 df-2nd 6142 df-topgen 12709 df-top 13501 df-topon 13514 df-bases 13546 df-tx 13756 |
This theorem is referenced by: txuni
13766 tx1cn
13772 tx2cn
13773 txcnp
13774 txcnmpt
13776 txdis1cn
13781 txlm
13782 lmcn2
13783 cnmpt12
13790 cnmpt2c
13793 cnmpt21
13794 cnmpt2t
13796 cnmpt22
13797 cnmpt22f
13798 cnmpt2res
13800 cnmptcom
13801 txmetcn
14022 limccnp2lem
14148 limccnp2cntop
14149 dvcnp2cntop
14166 dvaddxxbr
14168 dvmulxxbr
14169 dvcoapbr
14174 |