| Colors of
variables: wff set class |
| Syntax hints:
→ wi 4 ∧ w3a 980
= wceq 1364 ∈
wcel 2160 × cxp 4639
⟶wf 5227 ‘cfv 5231 (class class class)co 5891
Basecbs 12480 Grpcgrp 12911
-gcsg 12913 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710
ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-13 2162 ax-14 2163 ax-ext 2171 ax-coll 4133 ax-sep 4136 ax-pow 4189 ax-pr 4224 ax-un 4448 ax-cnex 7920 ax-resscn 7921 ax-1re 7923 ax-addrcl 7926 |
| This theorem depends on definitions:
df-bi 117 df-3an 982 df-tru 1367 df-nf 1472 df-sb 1774 df-eu 2041 df-mo 2042 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-ral 2473 df-rex 2474 df-reu 2475 df-rmo 2476 df-rab 2477 df-v 2754 df-sbc 2978 df-csb 3073 df-un 3148 df-in 3150 df-ss 3157 df-pw 3592 df-sn 3613 df-pr 3614 df-op 3616 df-uni 3825 df-int 3860 df-iun 3903 df-br 4019 df-opab 4080 df-mpt 4081 df-id 4308 df-xp 4647 df-rel 4648 df-cnv 4649 df-co 4650 df-dm 4651 df-rn 4652 df-res 4653 df-ima 4654 df-iota 5193 df-fun 5233 df-fn 5234 df-f 5235 df-f1 5236 df-fo 5237 df-f1o 5238 df-fv 5239 df-riota 5847 df-ov 5894 df-oprab 5895 df-mpo 5896 df-1st 6159 df-2nd 6160 df-inn 8938 df-2 8996 df-ndx 12483 df-slot 12484 df-base 12486 df-plusg 12568 df-0g 12729 df-mgm 12798 df-sgrp 12831 df-mnd 12844 df-grp 12914 df-minusg 12915 df-sbg 12916 |
| This theorem is referenced by: grpsubsub
12999 grpsubsub4
13003 grpnpncan
13005 grpnnncan2
13007 dfgrp3m
13009 nsgconj
13111 0nsg
13119 nsgid
13120 ghmnsgpreima
13169 ghmeqker
13171 ghmf1
13173 kerf1ghm
13174 conjghm
13176 conjnmz
13179 conjnmzb
13180 abladdsub4
13214 abladdsub
13215 ablpncan3
13217 ablsubsub4
13219 ablpnpcan
13220 ablnnncan
13223 ablnnncan1
13224 aprcotr
13562 lmodvsubcl
13609 2idlcpblrng
13799 |
