| Colors of
variables: wff set class |
| Syntax hints:
→ wi 4 ∧ w3a 979
= wceq 1363 ∈
wcel 2158 × cxp 4636
⟶wf 5224 ‘cfv 5228 (class class class)co 5888
Basecbs 12475 Grpcgrp 12896
-gcsg 12898 |
| 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 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-10 1515 ax-11 1516 ax-i12 1517 ax-bndl 1519 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 ax-i5r 1545 ax-13 2160 ax-14 2161 ax-ext 2169 ax-coll 4130 ax-sep 4133 ax-pow 4186 ax-pr 4221 ax-un 4445 ax-cnex 7915 ax-resscn 7916 ax-1re 7918 ax-addrcl 7921 |
| This theorem depends on definitions:
df-bi 117 df-3an 981 df-tru 1366 df-nf 1471 df-sb 1773 df-eu 2039 df-mo 2040 df-clab 2174 df-cleq 2180 df-clel 2183 df-nfc 2318 df-ral 2470 df-rex 2471 df-reu 2472 df-rmo 2473 df-rab 2474 df-v 2751 df-sbc 2975 df-csb 3070 df-un 3145 df-in 3147 df-ss 3154 df-pw 3589 df-sn 3610 df-pr 3611 df-op 3613 df-uni 3822 df-int 3857 df-iun 3900 df-br 4016 df-opab 4077 df-mpt 4078 df-id 4305 df-xp 4644 df-rel 4645 df-cnv 4646 df-co 4647 df-dm 4648 df-rn 4649 df-res 4650 df-ima 4651 df-iota 5190 df-fun 5230 df-fn 5231 df-f 5232 df-f1 5233 df-fo 5234 df-f1o 5235 df-fv 5236 df-riota 5844 df-ov 5891 df-oprab 5892 df-mpo 5893 df-1st 6154 df-2nd 6155 df-inn 8933 df-2 8991 df-ndx 12478 df-slot 12479 df-base 12481 df-plusg 12563 df-0g 12724 df-mgm 12793 df-sgrp 12826 df-mnd 12837 df-grp 12899 df-minusg 12900 df-sbg 12901 |
| This theorem is referenced by: grpsubsub
12983 grpsubsub4
12987 grpnpncan
12989 grpnnncan2
12991 dfgrp3m
12993 nsgconj
13095 0nsg
13103 nsgid
13104 abladdsub4
13148 abladdsub
13149 ablpncan3
13151 ablsubsub4
13153 ablpnpcan
13154 ablnnncan
13157 ablnnncan1
13158 aprcotr
13438 lmodvsubcl
13485 |
