Colors of
variables: wff set class |
Syntax hints: wi 4
wcel 2148
wss 3129
cfv 5215
(class class class)co 5872 cbs 12454 ↾s cress 12455 cgrp 12809 SubGrpcsubg 12958 |
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 4120 ax-pow 4173 ax-pr 4208 ax-un 4432 ax-cnex 7899 ax-resscn 7900 ax-1re 7902 ax-addrcl 7905 |
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 4003 df-opab 4064 df-mpt 4065 df-id 4292 df-xp 4631 df-rel 4632 df-cnv 4633 df-co 4634 df-dm 4635 df-rn 4636 df-res 4637 df-ima 4638 df-iota 5177 df-fun 5217 df-fn 5218 df-fv 5223 df-ov 5875 df-inn 8916 df-ndx 12457 df-slot 12458 df-base 12460 df-subg 12961 |
This theorem is referenced by: subg0
12971 subginv
12972 subgcl
12975 subgsub
12977 subgmulgcl
12978 subgmulg
12979 subgsubm
12987 subsubg
12988 subgintm
12989 isnsg
12993 nsgconj
12997 isnsg3
12998 ssnmz
13002 nmznsg
13004 eqger
13014 eqgid
13016 eqgen
13017 eqgcpbl
13018 issubrg2
13300 |