Step |
Hyp |
Ref |
Expression |
1 |
|
lsmidl.1 |
|
2 |
|
lsmidl.3 |
|
3 |
|
lsmidl.4 |
|
4 |
|
lsmidl.5 |
|
5 |
|
lsmidl.6 |
|
6 |
|
lsmidl.7 |
|
7 |
|
rlmlsm |
|
8 |
4 7
|
syl |
|
9 |
2 8
|
syl5eq |
|
10 |
9
|
oveqd |
|
11 |
|
rlmlmod |
|
12 |
4 11
|
syl |
|
13 |
|
lidlval |
|
14 |
|
rspval |
|
15 |
3 14
|
eqtri |
|
16 |
|
eqid |
|
17 |
13 15 16
|
lsmsp |
|
18 |
12 5 6 17
|
syl3anc |
|
19 |
10 18
|
eqtrd |
|