Step |
Hyp |
Ref |
Expression |
1 |
|
dihmeetlem7.b |
|
2 |
|
dihmeetlem7.l |
|
3 |
|
dihmeetlem7.j |
|
4 |
|
dihmeetlem7.m |
|
5 |
|
dihmeetlem7.a |
|
6 |
|
simprr |
|
7 |
|
simpl1 |
|
8 |
|
hlatl |
|
9 |
7 8
|
syl |
|
10 |
|
simprl |
|
11 |
|
simpl3 |
|
12 |
|
eqid |
|
13 |
1 2 4 12 5
|
atnle |
|
14 |
9 10 11 13
|
syl3anc |
|
15 |
6 14
|
mpbid |
|
16 |
15
|
oveq2d |
|
17 |
7
|
hllatd |
|
18 |
|
simpl2 |
|
19 |
1 4
|
latmcl |
|
20 |
17 18 11 19
|
syl3anc |
|
21 |
1 2 4
|
latmle2 |
|
22 |
17 18 11 21
|
syl3anc |
|
23 |
1 2 3 4 5
|
atmod1i2 |
|
24 |
7 10 20 11 22 23
|
syl131anc |
|
25 |
|
hlol |
|
26 |
7 25
|
syl |
|
27 |
1 3 12
|
olj01 |
|
28 |
26 20 27
|
syl2anc |
|
29 |
16 24 28
|
3eqtr3d |
|