Colors of
variables: wff set class |
Syntax hints:
↔ wb 105 ∈ wcel 2148
∀wral 2455 ⊆
wss 3131 𝒫 cpw 3577
∪ cuni 3811 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 709
ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 |
This theorem depends on definitions:
df-bi 117 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 df-v 2741 df-in 3137 df-ss 3144 df-pw 3579 df-uni 3812 |
This theorem is referenced by: pwssb
3974 elpwpw
3975 elpwuni
3978 rintm
3981 dftr4
4108 iotass
5197 tfrlemibfn
6331 tfr1onlembfn
6347 tfrcllembfn
6360 uniixp
6723 fipwssg
6980 unirnioo
9975 restid
12704 lssintclm
13476 topgele
13568 topontopn
13576 unitg
13601 epttop
13629 resttopon
13710 txuni2
13795 txdis
13816 unirnblps
13961 unirnbl
13962 |