Step |
Hyp |
Ref |
Expression |
1 |
|
dihmeetlem9.b |
|
2 |
|
dihmeetlem9.l |
|
3 |
|
dihmeetlem9.h |
|
4 |
|
dihmeetlem9.j |
|
5 |
|
dihmeetlem9.m |
|
6 |
|
dihmeetlem9.a |
|
7 |
|
dihmeetlem9.u |
|
8 |
|
dihmeetlem9.s |
|
9 |
|
dihmeetlem9.i |
|
10 |
|
simp1 |
|
11 |
3 7 10
|
dvhlmod |
|
12 |
|
eqid |
|
13 |
12
|
lsssssubg |
|
14 |
11 13
|
syl |
|
15 |
|
simp1l |
|
16 |
15
|
hllatd |
|
17 |
|
simp2l |
|
18 |
|
simp2r |
|
19 |
1 5
|
latmcl |
|
20 |
16 17 18 19
|
syl3anc |
|
21 |
1 3 9 7 12
|
dihlss |
|
22 |
10 20 21
|
syl2anc |
|
23 |
14 22
|
sseldd |
|
24 |
1 6
|
atbase |
|
25 |
24
|
3ad2ant3 |
|
26 |
1 3 9 7 12
|
dihlss |
|
27 |
10 25 26
|
syl2anc |
|
28 |
14 27
|
sseldd |
|
29 |
1 3 9 7 12
|
dihlss |
|
30 |
10 18 29
|
syl2anc |
|
31 |
14 30
|
sseldd |
|
32 |
1 2 5
|
latmle2 |
|
33 |
16 17 18 32
|
syl3anc |
|
34 |
1 2 3 9
|
dihord |
|
35 |
10 20 18 34
|
syl3anc |
|
36 |
33 35
|
mpbird |
|
37 |
8
|
lsmmod |
|
38 |
23 28 31 36 37
|
syl31anc |
|
39 |
|
lmodabl |
|
40 |
11 39
|
syl |
|
41 |
8
|
lsmcom |
|
42 |
40 23 28 41
|
syl3anc |
|
43 |
42
|
ineq1d |
|
44 |
38 43
|
eqtr2d |
|