Step |
Hyp |
Ref |
Expression |
1 |
|
lclkrlem2e.h |
|
2 |
|
lclkrlem2e.o |
|
3 |
|
lclkrlem2e.u |
|
4 |
|
lclkrlem2e.v |
|
5 |
|
lclkrlem2e.z |
|
6 |
|
lclkrlem2e.f |
|
7 |
|
lclkrlem2e.l |
|
8 |
|
lclkrlem2e.d |
|
9 |
|
lclkrlem2e.p |
|
10 |
|
lclkrlem2e.k |
|
11 |
|
lclkrlem2e.x |
|
12 |
|
lclkrlem2e.e |
|
13 |
|
lclkrlem2e.g |
|
14 |
|
lclkrlem2e.le |
|
15 |
|
lclkrlem2e.ne |
|
16 |
10
|
adantr |
|
17 |
11
|
eldifad |
|
18 |
17
|
snssd |
|
19 |
18
|
adantr |
|
20 |
|
eqid |
|
21 |
1 20 3 4 2
|
dochcl |
|
22 |
16 19 21
|
syl2anc |
|
23 |
1 20 2
|
dochoc |
|
24 |
16 22 23
|
syl2anc |
|
25 |
14
|
adantr |
|
26 |
|
inidm |
|
27 |
15
|
ineq2d |
|
28 |
26 27
|
eqtr3id |
|
29 |
1 3 10
|
dvhlmod |
|
30 |
6 7 8 9 29 12 13
|
lkrin |
|
31 |
28 30
|
eqsstrd |
|
32 |
31
|
adantr |
|
33 |
|
eqid |
|
34 |
1 3 10
|
dvhlvec |
|
35 |
34
|
adantr |
|
36 |
|
eqid |
|
37 |
1 3 2 4 36 10 18
|
dochocsp |
|
38 |
37
|
adantr |
|
39 |
25 38
|
eqtr4d |
|
40 |
|
eqid |
|
41 |
4 36 5 40 29 11
|
lsatlspsn |
|
42 |
41
|
adantr |
|
43 |
1 3 2 40 33 16 42
|
dochsatshp |
|
44 |
39 43
|
eqeltrd |
|
45 |
|
simpr |
|
46 |
33 35 44 45
|
lshpcmp |
|
47 |
32 46
|
mpbid |
|
48 |
25 47
|
eqtr3d |
|
49 |
48
|
fveq2d |
|
50 |
49
|
fveq2d |
|
51 |
24 50 48
|
3eqtr3d |
|
52 |
51
|
ex |
|
53 |
1 3 2 4 10
|
dochoc1 |
|
54 |
|
2fveq3 |
|
55 |
|
id |
|
56 |
54 55
|
eqeq12d |
|
57 |
53 56
|
syl5ibrcom |
|
58 |
6 8 9 29 12 13
|
ldualvaddcl |
|
59 |
4 33 6 7 34 58
|
lkrshpor |
|
60 |
52 57 59
|
mpjaod |
|