Step |
Hyp |
Ref |
Expression |
1 |
|
lspsneu.v |
|
2 |
|
lspsneu.s |
|
3 |
|
lspsneu.k |
|
4 |
|
lspsneu.o |
|
5 |
|
lspsneu.t |
|
6 |
|
lspsneu.z |
|
7 |
|
lspsneu.n |
|
8 |
|
lspsneu.w |
|
9 |
|
lspsneu.x |
|
10 |
|
lspsneu.y |
|
11 |
10
|
eldifad |
|
12 |
1 2 3 4 5 7 8 9 11
|
lspsneq |
|
13 |
12
|
biimpd |
|
14 |
|
eqtr2 |
|
15 |
14
|
3ad2ant3 |
|
16 |
|
simp1l |
|
17 |
16 8
|
syl |
|
18 |
|
simp2l |
|
19 |
18
|
eldifad |
|
20 |
|
simp2r |
|
21 |
20
|
eldifad |
|
22 |
16 11
|
syl |
|
23 |
|
eldifsni |
|
24 |
16 10 23
|
3syl |
|
25 |
1 5 2 3 6 17 19 21 22 24
|
lvecvscan2 |
|
26 |
15 25
|
mpbid |
|
27 |
26
|
3exp |
|
28 |
27
|
ex |
|
29 |
28
|
ralrimdvv |
|
30 |
13 29
|
jcad |
|
31 |
|
oveq1 |
|
32 |
31
|
eqeq2d |
|
33 |
32
|
reu4 |
|
34 |
30 33
|
syl6ibr |
|
35 |
|
reurex |
|
36 |
35 12
|
syl5ibr |
|
37 |
34 36
|
impbid |
|
38 |
|
oveq1 |
|
39 |
38
|
eqeq2d |
|
40 |
39
|
cbvreuvw |
|
41 |
37 40
|
bitrdi |
|