Colors of
variables: wff
setvar class |
Syntax hints:
โ wi 4 = wceq 1541
โ wcel 2106 โcfv 6543 Basecbs 17143
TopOpenctopn 17366 TopOnctopon 22411 TopSpctps 22433
TopGrpctgp 23574 |
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 7724 |
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 7411 df-top 22395 df-topon 22412 df-topsp 22434 df-tmd 23575 df-tgp 23576 |
This theorem is referenced by: tgpsubcn
23593 tgpmulg
23596 tgpmulg2
23597 subgtgp
23608 subgntr
23610 opnsubg
23611 clssubg
23612 clsnsg
23613 cldsubg
23614 tgpconncompeqg
23615 tgpconncomp
23616 tgpconncompss
23617 snclseqg
23619 tgphaus
23620 tgpt1
23621 tgpt0
23622 qustgpopn
23623 qustgplem
23624 qustgphaus
23626 prdstgpd
23628 tgptsmscld
23654 tsmsxplem1
23656 pl1cn
32930 |