Step |
Hyp |
Ref |
Expression |
1 |
|
cdleme30.b |
|
2 |
|
cdleme30.l |
|
3 |
|
cdleme30.j |
|
4 |
|
cdleme30.m |
|
5 |
|
cdleme30.a |
|
6 |
|
cdleme30.h |
|
7 |
|
simp1l |
|
8 |
7
|
hllatd |
|
9 |
|
simp21 |
|
10 |
1 5
|
atbase |
|
11 |
9 10
|
syl |
|
12 |
|
simp23 |
|
13 |
|
simp1r |
|
14 |
1 6
|
lhpbase |
|
15 |
13 14
|
syl |
|
16 |
1 4
|
latmcl |
|
17 |
8 12 15 16
|
syl3anc |
|
18 |
|
simp22l |
|
19 |
1 3
|
latjass |
|
20 |
8 11 17 18 19
|
syl13anc |
|
21 |
|
simp3l |
|
22 |
|
simp3r |
|
23 |
1 2 4
|
latmlem1 |
|
24 |
8 18 12 15 23
|
syl13anc |
|
25 |
22 24
|
mpd |
|
26 |
1 4
|
latmcl |
|
27 |
8 18 15 26
|
syl3anc |
|
28 |
1 2 3
|
latjlej2 |
|
29 |
8 27 17 11 28
|
syl13anc |
|
30 |
25 29
|
mpd |
|
31 |
21 30
|
eqbrtrrd |
|
32 |
1 3
|
latjcl |
|
33 |
8 11 17 32
|
syl3anc |
|
34 |
1 2 3
|
latleeqj2 |
|
35 |
8 18 33 34
|
syl3anc |
|
36 |
31 35
|
mpbid |
|
37 |
|
simp1 |
|
38 |
1 2 3 4 6
|
lhpmod2i2 |
|
39 |
37 12 18 22 38
|
syl121anc |
|
40 |
39
|
oveq2d |
|
41 |
|
simp22 |
|
42 |
|
eqid |
|
43 |
1 2 3 42 6
|
lhpj1 |
|
44 |
37 41 43
|
syl2anc |
|
45 |
44
|
oveq2d |
|
46 |
|
hlol |
|
47 |
7 46
|
syl |
|
48 |
1 4 42
|
olm11 |
|
49 |
47 12 48
|
syl2anc |
|
50 |
45 49
|
eqtrd |
|
51 |
50
|
oveq2d |
|
52 |
1 2 3
|
latlej1 |
|
53 |
8 11 27 52
|
syl3anc |
|
54 |
53 21
|
breqtrd |
|
55 |
1 2 8 11 18 12 54 22
|
lattrd |
|
56 |
1 2 3
|
latleeqj1 |
|
57 |
8 11 12 56
|
syl3anc |
|
58 |
55 57
|
mpbid |
|
59 |
40 51 58
|
3eqtrd |
|
60 |
20 36 59
|
3eqtr3d |
|