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 |
4
|
adantr |
|
13 |
7
|
snssd |
|
14 |
13
|
adantr |
|
15 |
6
|
adantr |
|
16 |
8
|
pssssd |
|
17 |
10
|
eldifad |
|
18 |
16 17
|
sseldd |
|
19 |
|
prcom |
|
20 |
|
df-pr |
|
21 |
19 20
|
eqtri |
|
22 |
21
|
fveq2i |
|
23 |
18 22
|
eleqtrdi |
|
24 |
23
|
anim1i |
|
25 |
|
eldif |
|
26 |
24 25
|
sylibr |
|
27 |
1 2 3
|
lspsolv |
|
28 |
12 14 15 26 27
|
syl13anc |
|
29 |
|
df-pr |
|
30 |
|
prcom |
|
31 |
29 30
|
eqtr3i |
|
32 |
31
|
fveq2i |
|
33 |
28 32
|
eleqtrdi |
|
34 |
33
|
ex |
|
35 |
34
|
orrd |
|