Step |
Hyp |
Ref |
Expression |
1 |
|
lspsncmp.v |
|
2 |
|
lspsncmp.o |
|
3 |
|
lspsncmp.n |
|
4 |
|
lspsncmp.w |
|
5 |
|
lspsncmp.x |
|
6 |
|
lspsncmp.y |
|
7 |
4
|
adantr |
|
8 |
6
|
adantr |
|
9 |
|
eqid |
|
10 |
|
lveclmod |
|
11 |
4 10
|
syl |
|
12 |
1 9 3
|
lspsncl |
|
13 |
11 6 12
|
syl2anc |
|
14 |
5
|
eldifad |
|
15 |
1 9 3 11 13 14
|
lspsnel5 |
|
16 |
15
|
biimpar |
|
17 |
|
eldifsni |
|
18 |
5 17
|
syl |
|
19 |
18
|
adantr |
|
20 |
1 2 3 7 8 16 19
|
lspsneleq |
|
21 |
20
|
ex |
|
22 |
|
eqimss |
|
23 |
21 22
|
impbid1 |
|