Step |
Hyp |
Ref |
Expression |
1 |
|
lspun0.v |
|
2 |
|
lspun0.o |
|
3 |
|
lspun0.n |
|
4 |
|
lspun0.w |
|
5 |
|
lspun0.x |
|
6 |
1 2
|
lmod0vcl |
|
7 |
4 6
|
syl |
|
8 |
7
|
snssd |
|
9 |
1 3
|
lspun |
|
10 |
4 5 8 9
|
syl3anc |
|
11 |
2 3
|
lspsn0 |
|
12 |
4 11
|
syl |
|
13 |
12
|
uneq2d |
|
14 |
|
eqid |
|
15 |
1 14 3
|
lspcl |
|
16 |
4 5 15
|
syl2anc |
|
17 |
2 14
|
lss0ss |
|
18 |
4 16 17
|
syl2anc |
|
19 |
|
ssequn2 |
|
20 |
18 19
|
sylib |
|
21 |
13 20
|
eqtrd |
|
22 |
21
|
fveq2d |
|
23 |
1 3
|
lspidm |
|
24 |
4 5 23
|
syl2anc |
|
25 |
22 24
|
eqtrd |
|
26 |
10 25
|
eqtrd |
|