Step |
Hyp |
Ref |
Expression |
1 |
|
clmsubdir.v |
|
2 |
|
clmsubdir.t |
|
3 |
|
clmsubdir.f |
|
4 |
|
clmsubdir.k |
|
5 |
|
clmsubdir.m |
|
6 |
|
clmsubdir.w |
|
7 |
|
clmsubdir.a |
|
8 |
|
clmsubdir.b |
|
9 |
|
clmsubdir.x |
|
10 |
3 4
|
clmsub |
|
11 |
6 7 8 10
|
syl3anc |
|
12 |
11
|
oveq1d |
|
13 |
|
eqid |
|
14 |
|
clmlmod |
|
15 |
6 14
|
syl |
|
16 |
1 2 3 4 5 13 15 7 8 9
|
lmodsubdir |
|
17 |
12 16
|
eqtrd |
|