Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 396
= wceq 1541 ∈
wcel 2106 {crab 3432
⊆ wss 3948 ∪ cuni 4908 ∩ cint 4950 ‘cfv 6543
Topctop 22394 Clsdccld 22519
clsccl 22521 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913
ax-6 1971 ax-7 2011 ax-8 2108
ax-9 2116 ax-10 2137 ax-11 2154 ax-12 2171 ax-ext 2703 ax-rep 5285 ax-sep 5299 ax-nul 5306 ax-pow 5363 ax-pr 5427 |
This theorem depends on definitions:
df-bi 206 df-an 397
df-or 846 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-nf 1786 df-sb 2068 df-mo 2534 df-eu 2563 df-clab 2710 df-cleq 2724 df-clel 2810 df-nfc 2885 df-ne 2941 df-ral 3062 df-rex 3071 df-reu 3377 df-rab 3433 df-v 3476 df-sbc 3778 df-csb 3894 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-nul 4323 df-if 4529 df-pw 4604 df-sn 4629 df-pr 4631 df-op 4635 df-uni 4909 df-int 4951 df-iun 4999 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5574 df-xp 5682 df-rel 5683 df-cnv 5684 df-co 5685 df-dm 5686 df-rn 5687 df-res 5688 df-ima 5689 df-iota 6495 df-fun 6545 df-fn 6546 df-f 6547 df-f1 6548 df-fo 6549 df-f1o 6550 df-fv 6551 df-top 22395 df-cld 22522 df-cls 22524 |
This theorem is referenced by: iscld4
22568 elcls
22576 ntrcls0
22579 clslp
22651 restcls
22684 cncls2i
22773 nrmsep
22860 lpcls
22867 regsep2
22879 hauscmplem
22909 hauscmp
22910 clsconn
22933 conncompcld
22937 hausllycmp
22997 txcls
23107 ptclsg
23118 regr1lem
23242 kqreglem1
23244 kqreglem2
23245 kqnrmlem1
23246 kqnrmlem2
23247 fclscmpi
23532 flfcntr
23546 cnextfres
23572 clssubg
23612 tsmsid
23643 cnllycmp
24471 clsocv
24766 relcmpcmet
24834 bcthlem2
24841 bcthlem4
24843 limcnlp
25394 opnbnd
35205 opnregcld
35210 cldregopn
35211 heibor1lem
36672 heiborlem8
36681 sepdisj
47547 iscnrm3rlem4
47566 |