Colors of
variables: wff set class |
Syntax hints: wi 4
wcel 2148
wss 3129
cfv 5216
(class class class)co 5874 cbs 12456 ↾s cress 12457 cgrp 12831 SubGrpcsubg 12980 |
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 709
ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-13 2150 ax-14 2151 ax-ext 2159 ax-sep 4121 ax-pow 4174 ax-pr 4209 ax-un 4433 ax-cnex 7901 ax-resscn 7902 ax-1re 7904 ax-addrcl 7907 |
This theorem depends on definitions:
df-bi 117 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 df-rex 2461 df-rab 2464 df-v 2739 df-sbc 2963 df-csb 3058 df-un 3133 df-in 3135 df-ss 3142 df-pw 3577 df-sn 3598 df-pr 3599 df-op 3601 df-uni 3810 df-int 3845 df-br 4004 df-opab 4065 df-mpt 4066 df-id 4293 df-xp 4632 df-rel 4633 df-cnv 4634 df-co 4635 df-dm 4636 df-rn 4637 df-res 4638 df-ima 4639 df-iota 5178 df-fun 5218 df-fn 5219 df-fv 5224 df-ov 5877 df-inn 8918 df-ndx 12459 df-slot 12460 df-base 12462 df-subg 12983 |
This theorem is referenced by: subg0
12993 subginv
12994 subgcl
12997 subgsub
12999 subgmulgcl
13000 subgmulg
13001 subgsubm
13009 subsubg
13010 subgintm
13011 isnsg
13015 nsgconj
13019 isnsg3
13020 ssnmz
13024 nmznsg
13026 eqger
13036 eqgid
13038 eqgen
13039 eqgcpbl
13040 issubrg2
13322 |