Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 396
= wceq 1541 ∈
wcel 2106 ‘cfv 6543
(class class class)co 7411 Basecbs 17148
+gcplusg 17201 0gc0g 17389 Mndcmnd 18659
Grpcgrp 18855 |
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-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-rmo 3376 df-reu 3377 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-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-riota 7367 df-ov 7414 df-0g 17391 df-mgm 18565 df-sgrp 18644 df-mnd 18660 df-grp 18858 |
This theorem is referenced by: grpridd
18891 grpinvid1
18912 grpinvid2
18913 grpidinv2
18918 grpasscan2
18923 grpidrcan
18924 grpsubid1
18944 grpsubadd
18947 grppncan
18950 mulgaddcom
19014 mulgdirlem
19021 mulgmodid
19029 nmzsubg
19081 0nsg
19085 cntzsubg
19244 cayleylem2
19322 odbezout
19467 lsmdisj2
19591 pj1lid
19610 frgpuplem
19681 abladdsub4
19720 odadd2
19758 gex2abl
19760 rnglz
20059 isabvd
20571 lmod0vrid
20647 lmodfopne
20654 islmhm2
20793 rnglidl0
21032 lsmcss
21464 mplcoe1
21811 mdetero
22332 mdetunilem6
22339 opnsubg
23832 tgpconncompeqg
23836 snclseqg
23840 clmvz
24851 deg1add
25845 gsumsubg
32456 ogrpaddltbi
32494 ogrpinvlt
32499 archiabllem2a
32598 archiabllem2c
32599 ghmquskerlem1
32790 lindsunlem
32985 lflmul
38241 cdlemn4
40372 mapdh6cN
40912 hdmap1l6c
40986 hdmapinvlem3
41094 hdmapinvlem4
41095 hdmapglem7b
41102 fsuppind
41464 |