Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∧ wa 395 = wceq 1534
∈ wcel 2099 ∖
cdif 3944 ⊆ wss 3947
∪ cuni 4908
‘cfv 6548 Topctop 22808
Clsdccld 22933 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1790 ax-4 1804 ax-5 1906
ax-6 1964 ax-7 2004 ax-8 2101
ax-9 2109 ax-10 2130 ax-11 2147 ax-12 2167 ax-ext 2699 ax-sep 5299 ax-nul 5306 ax-pow 5365 ax-pr 5429 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ral 3059 df-rex 3068 df-rab 3430 df-v 3473 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4909 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5576 df-xp 5684 df-rel 5685 df-cnv 5686 df-co 5687 df-dm 5688 df-iota 6500 df-fun 6550 df-fv 6556 df-top 22809 df-cld 22936 |
This theorem is referenced by: iincld
22956 iuncld
22962 clsval2
22967 cmntrcld
22980 elcls
22990 opncldf1
23001 opncldf2
23002 restcld
23089 iscncl
23186 pnrmopn
23260 isnrm2
23275 isnrm3
23276 isreg2
23294 hauscmplem
23323 conndisj
23333 hausllycmp
23411 1stckgen
23471 txkgen
23569 qtoprest
23634 qtopcmap
23636 icopnfcld
24697 lebnumlem1
24900 bcth3
25272 sxbrsigalem3
33892 pconnconn
34841 cvmscld
34883 cldbnd
35810 mblfinlem3
37132 mblfinlem4
37133 opncldeqv
47920 seposep
47944 |