Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∈ wcel 2106 ∀wral 3061 ‘cfv 6543
(class class class)co 7411 Basecbs 17148
+gcplusg 17201 SubGrpcsubg 19036 NrmSGrpcnsg 19037 |
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 |
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-rn 5687 df-res 5688 df-ima 5689 df-iota 6495 df-fun 6545 df-fv 6551 df-ov 7414 df-subg 19039 df-nsg 19040 |
This theorem is referenced by: nsgconj
19075 isnsg3
19076 trivnsgd
19088 eqgcpbl
19098 qusgrp
19101 quseccl
19102 qusadd
19103 qus0
19104 qusinv
19105 qussub
19106 ecqusaddcl
19108 ghmnsgima
19154 ghmnsgpreima
19155 conjnsg
19168 qusghm
19169 sylow3lem4
19539 prmgrpsimpgd
20025 rngqiprngimf1lem
21053 rngqiprngimf1
21059 rngqiprngimfo
21060 rngqiprngfulem4
21073 rngqipring1
21075 clsnsg
23834 qustgpopn
23844 qustgphaus
23847 cyc3genpm
32569 qusker
32722 qus0g
32780 qusima
32781 qusrn
32782 nsgqus0
32783 nsgmgclem
32784 nsgmgc
32785 nsgqusf1olem1
32786 nsgqusf1olem2
32787 nsgqusf1olem3
32788 ghmquskerlem1
32790 ghmquskerlem2
32792 ghmquskerlem3
32793 ghmqusker
32794 lmhmqusker
32796 rhmquskerlem
32805 qsnzr
32836 opprqusplusg
32865 opprqus0g
32866 qsdrngilem
32870 qsdrngi
32871 |