Step |
Hyp |
Ref |
Expression |
1 |
|
ogrpsub.0 |
|
2 |
|
ogrpsub.1 |
|
3 |
|
ogrpsub.2 |
|
4 |
|
isogrp |
|
5 |
4
|
simprbi |
|
6 |
5
|
3ad2ant1 |
|
7 |
|
simp21 |
|
8 |
|
simp22 |
|
9 |
|
ogrpgrp |
|
10 |
9
|
3ad2ant1 |
|
11 |
|
simp23 |
|
12 |
|
eqid |
|
13 |
1 12
|
grpinvcl |
|
14 |
10 11 13
|
syl2anc |
|
15 |
|
simp3 |
|
16 |
|
eqid |
|
17 |
1 2 16
|
omndadd |
|
18 |
6 7 8 14 15 17
|
syl131anc |
|
19 |
1 16 12 3
|
grpsubval |
|
20 |
7 11 19
|
syl2anc |
|
21 |
1 16 12 3
|
grpsubval |
|
22 |
8 11 21
|
syl2anc |
|
23 |
18 20 22
|
3brtr4d |
|