Step |
Hyp |
Ref |
Expression |
1 |
|
lspdisj2.v |
|
2 |
|
lspdisj2.o |
|
3 |
|
lspdisj2.n |
|
4 |
|
lspdisj2.w |
|
5 |
|
lspdisj2.x |
|
6 |
|
lspdisj2.y |
|
7 |
|
lspdisj2.q |
|
8 |
|
sneq |
|
9 |
8
|
fveq2d |
|
10 |
|
lveclmod |
|
11 |
4 10
|
syl |
|
12 |
2 3
|
lspsn0 |
|
13 |
11 12
|
syl |
|
14 |
9 13
|
sylan9eqr |
|
15 |
14
|
ineq1d |
|
16 |
|
eqid |
|
17 |
1 16 3
|
lspsncl |
|
18 |
11 6 17
|
syl2anc |
|
19 |
2 16
|
lss0ss |
|
20 |
11 18 19
|
syl2anc |
|
21 |
|
df-ss |
|
22 |
20 21
|
sylib |
|
23 |
22
|
adantr |
|
24 |
15 23
|
eqtrd |
|
25 |
4
|
adantr |
|
26 |
18
|
adantr |
|
27 |
5
|
adantr |
|
28 |
7
|
adantr |
|
29 |
25
|
adantr |
|
30 |
6
|
adantr |
|
31 |
30
|
adantr |
|
32 |
|
simpr |
|
33 |
|
simplr |
|
34 |
1 2 3 29 31 32 33
|
lspsneleq |
|
35 |
34
|
ex |
|
36 |
35
|
necon3ad |
|
37 |
28 36
|
mpd |
|
38 |
1 2 3 16 25 26 27 37
|
lspdisj |
|
39 |
24 38
|
pm2.61dane |
|