Step |
Hyp |
Ref |
Expression |
1 |
|
lcfrvalsn.h |
|
2 |
|
lcfrvalsn.o |
|
3 |
|
lcfrvalsn.u |
|
4 |
|
lcfrvalsn.f |
|
5 |
|
lcfrvalsn.l |
|
6 |
|
lcfrvalsn.d |
|
7 |
|
lcfrvalsn.n |
|
8 |
|
lcfrvalsn.k |
|
9 |
|
lcfrvalsn.g |
|
10 |
|
lcfrvalsn.q |
|
11 |
|
lcfrvalsn.r |
|
12 |
|
eliun |
|
13 |
11
|
eleq2i |
|
14 |
8
|
adantr |
|
15 |
|
eqid |
|
16 |
1 3 8
|
dvhlmod |
|
17 |
16
|
adantr |
|
18 |
6 16
|
lduallmod |
|
19 |
|
eqid |
|
20 |
4 6 19 16 9
|
ldualelvbase |
|
21 |
|
eqid |
|
22 |
19 21 7
|
lspsncl |
|
23 |
18 20 22
|
syl2anc |
|
24 |
19 21
|
lssel |
|
25 |
23 24
|
sylan |
|
26 |
4 6 19 16
|
ldualvbase |
|
27 |
26
|
adantr |
|
28 |
25 27
|
eleqtrd |
|
29 |
15 4 5 17 28
|
lkrssv |
|
30 |
|
eqid |
|
31 |
|
eqid |
|
32 |
|
eqid |
|
33 |
30 31 19 32 7
|
lspsnel |
|
34 |
18 20 33
|
syl2anc |
|
35 |
|
eqid |
|
36 |
|
eqid |
|
37 |
35 36 6 30 31 16
|
ldualsbase |
|
38 |
37
|
rexeqdv |
|
39 |
34 38
|
bitrd |
|
40 |
39
|
biimpa |
|
41 |
1 3 8
|
dvhlvec |
|
42 |
41
|
adantr |
|
43 |
9
|
adantr |
|
44 |
35 36 4 5 6 32 42 43 28
|
lkrss2N |
|
45 |
40 44
|
mpbird |
|
46 |
1 3 15 2
|
dochss |
|
47 |
14 29 45 46
|
syl3anc |
|
48 |
47
|
sseld |
|
49 |
48
|
ex |
|
50 |
13 49
|
syl5bi |
|
51 |
50
|
rexlimdv |
|
52 |
19 7
|
lspsnid |
|
53 |
18 20 52
|
syl2anc |
|
54 |
53 11
|
eleqtrrdi |
|
55 |
|
2fveq3 |
|
56 |
55
|
eleq2d |
|
57 |
56
|
rspcev |
|
58 |
54 57
|
sylan |
|
59 |
58
|
ex |
|
60 |
51 59
|
impbid |
|
61 |
12 60
|
syl5bb |
|
62 |
61
|
eqrdv |
|
63 |
10 62
|
syl5eq |
|