Step |
Hyp |
Ref |
Expression |
1 |
|
lsppr.v |
|
2 |
|
lsppr.a |
|
3 |
|
lsppr.f |
|
4 |
|
lsppr.k |
|
5 |
|
lsppr.t |
|
6 |
|
lsppr.n |
|
7 |
|
lsppr.w |
|
8 |
|
lsppr.x |
|
9 |
|
lsppr.y |
|
10 |
|
df-pr |
|
11 |
10
|
fveq2i |
|
12 |
8
|
snssd |
|
13 |
9
|
snssd |
|
14 |
1 6
|
lspun |
|
15 |
7 12 13 14
|
syl3anc |
|
16 |
|
eqid |
|
17 |
1 16 6
|
lspsncl |
|
18 |
7 8 17
|
syl2anc |
|
19 |
1 16 6
|
lspsncl |
|
20 |
7 9 19
|
syl2anc |
|
21 |
|
eqid |
|
22 |
16 6 21
|
lsmsp |
|
23 |
7 18 20 22
|
syl3anc |
|
24 |
1 2 3 4 5 21 6 7 8 9
|
lsmspsn |
|
25 |
24
|
abbi2dv |
|
26 |
15 23 25
|
3eqtr2d |
|
27 |
11 26
|
syl5eq |
|