Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 397
= wceq 1542 ∈
wcel 2107 ⊆ wss 3949
∪ cuni 4909
‘cfv 6544 Topctop 22395
Clsdccld 22520 clsccl 22522 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1914
ax-6 1972 ax-7 2012 ax-8 2109
ax-9 2117 ax-10 2138 ax-11 2155 ax-12 2172 ax-ext 2704 ax-rep 5286 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7725 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-mo 2535 df-eu 2564 df-clab 2711 df-cleq 2725 df-clel 2811 df-nfc 2886 df-ne 2942 df-ral 3063 df-rex 3072 df-reu 3378 df-rab 3434 df-v 3477 df-sbc 3779 df-csb 3895 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-int 4952 df-iun 5000 df-iin 5001 df-br 5150 df-opab 5212 df-mpt 5233 df-id 5575 df-xp 5683 df-rel 5684 df-cnv 5685 df-co 5686 df-dm 5687 df-rn 5688 df-res 5689 df-ima 5690 df-iota 6496 df-fun 6546 df-fn 6547 df-f 6548 df-f1 6549 df-fo 6550 df-f1o 6551 df-fv 6552 df-top 22396 df-cld 22523 df-cls 22525 |
This theorem is referenced by: clsidm
22571 elcls2
22578 clsndisj
22579 ntrcls0
22580 neindisj
22621 lpval
22643 lpss
22646 clslp
22652 cnclsi
22776 cncls
22778 isnrm2
22862 lpcls
22868 perfcls
22869 regsep2
22880 clsconn
22934 conncompcld
22938 2ndcsep
22963 1stcelcls
22965 hausllycmp
22998 txcls
23108 ptclsg
23119 imasncls
23196 kqnrmlem1
23247 reghmph
23297 nrmhmph
23298 flimclslem
23488 flimsncls
23490 hauspwpwf1
23491 fclsopn
23518 fclscmpi
23533 cnextfun
23568 clssubg
23613 clsnsg
23614 snclseqg
23620 utop3cls
23756 qdensere
24286 clsocv
24767 relcmpcmet
24835 cncmet
24839 kur14lem3
34230 topbnd
35257 clsun
35261 opnregcld
35263 cldregopn
35264 heibor1lem
36725 qndenserrn
45063 iscnrm3rlem2
47622 |