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 |
|
lsppratlem1.o |
|
10 |
|
lsppratlem1.x2 |
|
11 |
|
lsppratlem1.y2 |
|
12 |
|
lsppratlem4.x3 |
|
13 |
|
lveclmod |
|
14 |
4 13
|
syl |
|
15 |
1 2
|
lssss |
|
16 |
5 15
|
syl |
|
17 |
16
|
ssdifssd |
|
18 |
17 10
|
sseldd |
|
19 |
16
|
ssdifssd |
|
20 |
19 11
|
sseldd |
|
21 |
1 2 3 14 18 20
|
lspprcl |
|
22 |
|
df-pr |
|
23 |
|
snsspr1 |
|
24 |
18 20
|
prssd |
|
25 |
1 3
|
lspssid |
|
26 |
14 24 25
|
syl2anc |
|
27 |
23 26
|
sstrid |
|
28 |
18
|
snssd |
|
29 |
8
|
pssssd |
|
30 |
1 2 3 14 18 7
|
lspprcl |
|
31 |
|
df-pr |
|
32 |
12
|
snssd |
|
33 |
|
snsspr2 |
|
34 |
18 7
|
prssd |
|
35 |
1 3
|
lspssid |
|
36 |
14 34 35
|
syl2anc |
|
37 |
33 36
|
sstrid |
|
38 |
32 37
|
unssd |
|
39 |
31 38
|
eqsstrid |
|
40 |
2 3
|
lspssp |
|
41 |
14 30 39 40
|
syl3anc |
|
42 |
29 41
|
sstrd |
|
43 |
22
|
fveq2i |
|
44 |
42 43
|
sseqtrdi |
|
45 |
44
|
ssdifd |
|
46 |
45 11
|
sseldd |
|
47 |
1 2 3
|
lspsolv |
|
48 |
4 28 7 46 47
|
syl13anc |
|
49 |
|
df-pr |
|
50 |
49
|
fveq2i |
|
51 |
48 50
|
eleqtrrdi |
|
52 |
51
|
snssd |
|
53 |
27 52
|
unssd |
|
54 |
22 53
|
eqsstrid |
|
55 |
2 3
|
lspssp |
|
56 |
14 21 54 55
|
syl3anc |
|
57 |
56 12
|
sseldd |
|
58 |
57 51
|
jca |
|