Colors of
variables: wff
setvar class |
Syntax hints:
โ wi 4 = wceq 1542
โ wcel 2107 โcfv 6544 Basecbs 17144
TopOpenctopn 17367 TopOnctopon 22412 TopSpctps 22434
TopGrpctgp 23575 |
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 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7725 |
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-ne 2942 df-ral 3063 df-rex 3072 df-rab 3434 df-v 3477 df-sbc 3779 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-br 5150 df-opab 5212 df-mpt 5233 df-id 5575 df-xp 5683 df-rel 5684 df-cnv 5685 df-co 5686 df-dm 5687 df-iota 6496 df-fun 6546 df-fv 6552 df-ov 7412 df-top 22396 df-topon 22413 df-topsp 22435 df-tmd 23576 df-tgp 23577 |
This theorem is referenced by: tgpsubcn
23594 tgpmulg
23597 tgpmulg2
23598 subgtgp
23609 subgntr
23611 opnsubg
23612 clssubg
23613 clsnsg
23614 cldsubg
23615 tgpconncompeqg
23616 tgpconncomp
23617 tgpconncompss
23618 snclseqg
23620 tgphaus
23621 tgpt1
23622 tgpt0
23623 qustgpopn
23624 qustgplem
23625 qustgphaus
23627 prdstgpd
23629 tgptsmscld
23655 tsmsxplem1
23657 pl1cn
32935 |