Colors of
variables: wff
setvar class |
Syntax hints:
โ wi 4 = wceq 1541
โ wcel 2106 โcfv 6543 Basecbs 17146
TopOpenctopn 17369 TopOnctopon 22419 TopSpctps 22441
TopGrpctgp 23582 |
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-sep 5299 ax-nul 5306 ax-pow 5363 ax-pr 5427 ax-un 7727 |
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-rab 3433 df-v 3476 df-sbc 3778 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-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-iota 6495 df-fun 6545 df-fv 6551 df-ov 7414 df-top 22403 df-topon 22420 df-topsp 22442 df-tmd 23583 df-tgp 23584 |
This theorem is referenced by: tgpsubcn
23601 tgpmulg
23604 tgpmulg2
23605 subgtgp
23616 subgntr
23618 opnsubg
23619 clssubg
23620 clsnsg
23621 cldsubg
23622 tgpconncompeqg
23623 tgpconncomp
23624 tgpconncompss
23625 snclseqg
23627 tgphaus
23628 tgpt1
23629 tgpt0
23630 qustgpopn
23631 qustgplem
23632 qustgphaus
23634 prdstgpd
23636 tgptsmscld
23662 tsmsxplem1
23664 pl1cn
33004 |