Step |
Hyp |
Ref |
Expression |
1 |
|
lkrss2.s |
|
2 |
|
lkrss2.r |
|
3 |
|
lkrss2.f |
|
4 |
|
lkrss2.k |
|
5 |
|
lkrss2.d |
|
6 |
|
lkrss2.t |
|
7 |
|
lkrss2.w |
|
8 |
|
lkrss2.g |
|
9 |
|
lkrss2.h |
|
10 |
|
sspss |
|
11 |
|
eqid |
|
12 |
3 4 5 11 7 8 9
|
lkrpssN |
|
13 |
|
lveclmod |
|
14 |
7 13
|
syl |
|
15 |
|
eqid |
|
16 |
1 2 15
|
lmod0cl |
|
17 |
14 16
|
syl |
|
18 |
17
|
adantr |
|
19 |
|
simpr |
|
20 |
3 1 15 5 6 11 14 8
|
ldual0vs |
|
21 |
20
|
adantr |
|
22 |
19 21
|
eqtr4d |
|
23 |
|
oveq1 |
|
24 |
23
|
rspceeqv |
|
25 |
18 22 24
|
syl2anc |
|
26 |
25
|
ex |
|
27 |
26
|
adantld |
|
28 |
12 27
|
sylbid |
|
29 |
28
|
imp |
|
30 |
7
|
adantr |
|
31 |
8
|
adantr |
|
32 |
9
|
adantr |
|
33 |
|
simpr |
|
34 |
1 2 3 4 5 6 30 31 32 33
|
eqlkr4 |
|
35 |
29 34
|
jaodan |
|
36 |
10 35
|
sylan2b |
|
37 |
7
|
adantr |
|
38 |
8
|
adantr |
|
39 |
|
simpr |
|
40 |
1 2 3 4 5 6 37 38 39
|
lkrss |
|
41 |
40
|
ex |
|
42 |
|
fveq2 |
|
43 |
42
|
sseq2d |
|
44 |
43
|
biimprcd |
|
45 |
41 44
|
syl6 |
|
46 |
45
|
rexlimdv |
|
47 |
46
|
imp |
|
48 |
36 47
|
impbida |
|