Step |
Hyp |
Ref |
Expression |
1 |
|
ablsub2inv.b |
|
2 |
|
ablsub2inv.m |
|
3 |
|
ablsub2inv.n |
|
4 |
|
ablsub2inv.g |
|
5 |
|
ablsub2inv.x |
|
6 |
|
ablsub2inv.y |
|
7 |
|
eqid |
|
8 |
|
ablgrp |
|
9 |
4 8
|
syl |
|
10 |
1 3
|
grpinvcl |
|
11 |
9 5 10
|
syl2anc |
|
12 |
1 7 2 3 9 11 6
|
grpsubinv |
|
13 |
1 7
|
ablcom |
|
14 |
4 11 6 13
|
syl3anc |
|
15 |
1 3
|
grpinvinv |
|
16 |
9 6 15
|
syl2anc |
|
17 |
16
|
oveq1d |
|
18 |
14 17
|
eqtr4d |
|
19 |
1 3
|
grpinvcl |
|
20 |
9 6 19
|
syl2anc |
|
21 |
1 7 3
|
grpinvadd |
|
22 |
9 5 20 21
|
syl3anc |
|
23 |
18 22
|
eqtr4d |
|
24 |
1 7 3 2
|
grpsubval |
|
25 |
5 6 24
|
syl2anc |
|
26 |
25
|
fveq2d |
|
27 |
23 26
|
eqtr4d |
|
28 |
1 2 3
|
grpinvsub |
|
29 |
9 5 6 28
|
syl3anc |
|
30 |
12 27 29
|
3eqtrd |
|