Colors of
variables: wff
setvar class |
Syntax hints:
โ wi 4 = wceq 1542
โ wcel 2107 โcfv 6500 Basecbs 17091
TopOpenctopn 17311 TopOnctopon 22282 TopSpctps 22304
TopGrpctgp 23445 |
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 5260 ax-nul 5267 ax-pow 5324 ax-pr 5388 ax-un 7676 |
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 2941 df-ral 3062 df-rex 3071 df-rab 3407 df-v 3449 df-sbc 3744 df-dif 3917 df-un 3919 df-in 3921 df-ss 3931 df-nul 4287 df-if 4491 df-pw 4566 df-sn 4591 df-pr 4593 df-op 4597 df-uni 4870 df-br 5110 df-opab 5172 df-mpt 5193 df-id 5535 df-xp 5643 df-rel 5644 df-cnv 5645 df-co 5646 df-dm 5647 df-iota 6452 df-fun 6502 df-fv 6508 df-ov 7364 df-top 22266 df-topon 22283 df-topsp 22305 df-tmd 23446 df-tgp 23447 |
This theorem is referenced by: tgpsubcn
23464 tgpmulg
23467 tgpmulg2
23468 subgtgp
23479 subgntr
23481 opnsubg
23482 clssubg
23483 clsnsg
23484 cldsubg
23485 tgpconncompeqg
23486 tgpconncomp
23487 tgpconncompss
23488 snclseqg
23490 tgphaus
23491 tgpt1
23492 tgpt0
23493 qustgpopn
23494 qustgplem
23495 qustgphaus
23497 prdstgpd
23499 tgptsmscld
23525 tsmsxplem1
23527 pl1cn
32600 |