Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∧ wa 397 = wceq 1542
∈ wcel 2107 ∖
cdif 3908 ⊆ wss 3911
∪ cuni 4866
‘cfv 6497 Topctop 22258
Clsdccld 22383 |
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-sep 5257 ax-nul 5264 ax-pow 5321 ax-pr 5385 |
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-ral 3062 df-rex 3071 df-rab 3407 df-v 3446 df-dif 3914 df-un 3916 df-in 3918 df-ss 3928 df-nul 4284 df-if 4488 df-pw 4563 df-sn 4588 df-pr 4590 df-op 4594 df-uni 4867 df-br 5107 df-opab 5169 df-mpt 5190 df-id 5532 df-xp 5640 df-rel 5641 df-cnv 5642 df-co 5643 df-dm 5644 df-iota 6449 df-fun 6499 df-fv 6505 df-top 22259 df-cld 22386 |
This theorem is referenced by: iincld
22406 iuncld
22412 clsval2
22417 cmntrcld
22430 elcls
22440 opncldf1
22451 opncldf2
22452 restcld
22539 iscncl
22636 pnrmopn
22710 isnrm2
22725 isnrm3
22726 isreg2
22744 hauscmplem
22773 conndisj
22783 hausllycmp
22861 1stckgen
22921 txkgen
23019 qtoprest
23084 qtopcmap
23086 icopnfcld
24147 lebnumlem1
24340 bcth3
24711 sxbrsigalem3
32929 pconnconn
33882 cvmscld
33924 cldbnd
34844 mblfinlem3
36163 mblfinlem4
36164 opncldeqv
47020 seposep
47044 |