Step |
Hyp |
Ref |
Expression |
1 |
|
lspprat.v |
|
2 |
|
lspprat.s |
|
3 |
|
lspprat.n |
|
4 |
|
lspprat.w |
|
5 |
|
lspprat.u |
|
6 |
|
lspprat.x |
|
7 |
|
lspprat.y |
|
8 |
|
lspprat.p |
|
9 |
|
ssdif0 |
|
10 |
|
lveclmod |
|
11 |
4 10
|
syl |
|
12 |
|
eqid |
|
13 |
1 12
|
lmod0vcl |
|
14 |
11 13
|
syl |
|
15 |
14
|
adantr |
|
16 |
|
simpr |
|
17 |
12 2
|
lss0ss |
|
18 |
11 5 17
|
syl2anc |
|
19 |
18
|
adantr |
|
20 |
16 19
|
eqssd |
|
21 |
12 3
|
lspsn0 |
|
22 |
11 21
|
syl |
|
23 |
22
|
adantr |
|
24 |
20 23
|
eqtr4d |
|
25 |
|
sneq |
|
26 |
25
|
fveq2d |
|
27 |
26
|
rspceeqv |
|
28 |
15 24 27
|
syl2anc |
|
29 |
28
|
ex |
|
30 |
9 29
|
syl5bir |
|
31 |
1 2
|
lssss |
|
32 |
5 31
|
syl |
|
33 |
32
|
ssdifssd |
|
34 |
33
|
sseld |
|
35 |
1 2 3 4 5 6 7 8 12
|
lsppratlem6 |
|
36 |
34 35
|
jcad |
|
37 |
36
|
eximdv |
|
38 |
|
n0 |
|
39 |
|
df-rex |
|
40 |
37 38 39
|
3imtr4g |
|
41 |
30 40
|
pm2.61dne |
|