Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1542
∈ wcel 2107 ∖
cdif 3906 ⊆ wss 3909
∪ cuni 4864
‘cfv 6492 Topctop 22165
Clsdccld 22290 |
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 2709 ax-sep 5255 ax-nul 5262 ax-pow 5319 ax-pr 5383 ax-un 7663 |
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 2540 df-eu 2569 df-clab 2716 df-cleq 2730 df-clel 2816 df-nfc 2888 df-ral 3064 df-rex 3073 df-rab 3407 df-v 3446 df-dif 3912 df-un 3914 df-in 3916 df-ss 3926 df-nul 4282 df-if 4486 df-pw 4561 df-sn 4586 df-pr 4588 df-op 4592 df-uni 4865 df-br 5105 df-opab 5167 df-mpt 5188 df-id 5529 df-xp 5637 df-rel 5638 df-cnv 5639 df-co 5640 df-dm 5641 df-iota 6444 df-fun 6494 df-fn 6495 df-fv 6500 df-top 22166 df-cld 22293 |
This theorem is referenced by: cldss2
22304 iincld
22313 uncld
22315 cldcls
22316 iuncld
22319 clsval2
22324 clsss3
22333 clsss2
22346 opncldf1
22358 restcldr
22448 lmcld
22577 nrmsep2
22630 nrmsep
22631 isnrm2
22632 regsep2
22650 cmpcld
22676 dfconn2
22693 conncompclo
22709 cldllycmp
22769 txcld
22877 ptcld
22887 imasncld
22965 kqcldsat
23007 kqnrmlem1
23017 kqnrmlem2
23018 nrmhmph
23068 ufildr
23205 metnrmlem1a
24144 metnrmlem1
24145 metnrmlem2
24146 metnrmlem3
24147 cnheiborlem
24240 cmetss
24603 bcthlem5
24615 cldssbrsiga
32560 clsun
34696 cldregopn
34699 pibt2
35784 mblfinlem3
36013 mblfinlem4
36014 ismblfin
36015 cmpfiiin
40886 kelac1
41256 stoweidlem18
44014 stoweidlem57
44053 restcls2lem
46700 |