Step |
Hyp |
Ref |
Expression |
1 |
|
trljat.l |
|
2 |
|
trljat.j |
|
3 |
|
trljat.a |
|
4 |
|
trljat.h |
|
5 |
|
trljat.t |
|
6 |
|
trljat.r |
|
7 |
|
simp1l |
|
8 |
1 3 4 5
|
ltrnat |
|
9 |
8
|
3adant3r |
|
10 |
7
|
hllatd |
|
11 |
|
simp3l |
|
12 |
|
eqid |
|
13 |
12 3
|
atbase |
|
14 |
11 13
|
syl |
|
15 |
|
simp1 |
|
16 |
|
simp2 |
|
17 |
12 4 5
|
ltrncl |
|
18 |
15 16 14 17
|
syl3anc |
|
19 |
12 2
|
latjcl |
|
20 |
10 14 18 19
|
syl3anc |
|
21 |
|
simp1r |
|
22 |
12 4
|
lhpbase |
|
23 |
21 22
|
syl |
|
24 |
12 1 2
|
latlej2 |
|
25 |
10 14 18 24
|
syl3anc |
|
26 |
|
eqid |
|
27 |
12 1 2 26 3
|
atmod2i1 |
|
28 |
7 9 20 23 25 27
|
syl131anc |
|
29 |
1 3 4 5
|
ltrnel |
|
30 |
|
eqid |
|
31 |
1 2 30 3 4
|
lhpjat1 |
|
32 |
7 21 29 31
|
syl21anc |
|
33 |
32
|
oveq2d |
|
34 |
|
hlol |
|
35 |
7 34
|
syl |
|
36 |
12 26 30
|
olm11 |
|
37 |
35 20 36
|
syl2anc |
|
38 |
28 33 37
|
3eqtrrd |
|
39 |
1 2 26 3 4 5 6
|
trlval2 |
|
40 |
39
|
oveq1d |
|
41 |
12 4 5 6
|
trlcl |
|
42 |
15 16 41
|
syl2anc |
|
43 |
12 2
|
latjcom |
|
44 |
10 42 18 43
|
syl3anc |
|
45 |
38 40 44
|
3eqtr2rd |
|