Step |
Hyp |
Ref |
Expression |
1 |
|
subgmulgcld.b |
|
2 |
|
subgmulgcld.x |
|
3 |
|
subgmulgcld.r |
|
4 |
|
subgmulgcld.a |
|
5 |
|
subgmulgcld.s |
|
6 |
|
subgmulgcld.z |
|
7 |
|
eqid |
|
8 |
|
eqid |
|
9 |
|
eqid |
|
10 |
9
|
subggrp |
|
11 |
5 10
|
syl |
|
12 |
1
|
subgss |
|
13 |
9 1
|
ressbas2 |
|
14 |
5 12 13
|
3syl |
|
15 |
4 14
|
eleqtrd |
|
16 |
7 8 11 6 15
|
mulgcld |
|
17 |
2 9 8
|
subgmulg |
|
18 |
5 6 4 17
|
syl3anc |
|
19 |
16 18 14
|
3eltr4d |
|