Step |
Hyp |
Ref |
Expression |
1 |
|
lssdimle.x |
|
2 |
|
eqid |
|
3 |
1 2
|
lsslvec |
|
4 |
|
eqid |
|
5 |
4
|
lbsex |
|
6 |
3 5
|
syl |
|
7 |
|
n0 |
|
8 |
6 7
|
sylib |
|
9 |
|
hashss |
|
10 |
9
|
adantll |
|
11 |
4
|
dimval |
|
12 |
3 11
|
sylan |
|
13 |
12
|
ad2antrr |
|
14 |
|
eqid |
|
15 |
14
|
dimval |
|
16 |
15
|
ad5ant14 |
|
17 |
10 13 16
|
3brtr4d |
|
18 |
|
simpll |
|
19 |
|
lveclmod |
|
20 |
19
|
ad2antrr |
|
21 |
|
simplr |
|
22 |
|
simpr |
|
23 |
|
eqid |
|
24 |
23 4
|
lbsss |
|
25 |
22 24
|
syl |
|
26 |
|
eqid |
|
27 |
26 2
|
lssss |
|
28 |
1 26
|
ressbas2 |
|
29 |
21 27 28
|
3syl |
|
30 |
25 29
|
sseqtrrd |
|
31 |
4
|
lbslinds |
|
32 |
31 22
|
sselid |
|
33 |
2 1
|
lsslinds |
|
34 |
33
|
biimpa |
|
35 |
20 21 30 32 34
|
syl31anc |
|
36 |
14
|
islinds4 |
|
37 |
36
|
biimpa |
|
38 |
18 35 37
|
syl2anc |
|
39 |
17 38
|
r19.29a |
|
40 |
8 39
|
exlimddv |
|