Step |
Hyp |
Ref |
Expression |
1 |
|
clmvs1.v |
|
2 |
|
clmvs1.s |
|
3 |
|
clmvs2.a |
|
4 |
|
df-2 |
|
5 |
4
|
oveq1i |
|
6 |
5
|
a1i |
|
7 |
|
simpl |
|
8 |
|
eqid |
|
9 |
8
|
clm1 |
|
10 |
|
clmlmod |
|
11 |
|
eqid |
|
12 |
|
eqid |
|
13 |
8 11 12
|
lmod1cl |
|
14 |
10 13
|
syl |
|
15 |
9 14
|
eqeltrd |
|
16 |
15
|
adantr |
|
17 |
|
simpr |
|
18 |
1 8 2 11 3
|
clmvsdir |
|
19 |
7 16 16 17 18
|
syl13anc |
|
20 |
1 2
|
clmvs1 |
|
21 |
20 20
|
oveq12d |
|
22 |
6 19 21
|
3eqtrrd |
|