| 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 |
|