Step |
Hyp |
Ref |
Expression |
1 |
|
cdleme12.l |
|
2 |
|
cdleme12.j |
|
3 |
|
cdleme12.m |
|
4 |
|
cdleme12.a |
|
5 |
|
cdleme12.h |
|
6 |
|
cdleme12.u |
|
7 |
|
cdleme12.f |
|
8 |
|
cdleme12.g |
|
9 |
|
simp11l |
|
10 |
9
|
hllatd |
|
11 |
|
simp11 |
|
12 |
|
simp12l |
|
13 |
|
simp13l |
|
14 |
|
eqid |
|
15 |
1 2 3 4 5 6 14
|
cdleme0aa |
|
16 |
11 12 13 15
|
syl3anc |
|
17 |
14 2
|
latjidm |
|
18 |
10 16 17
|
syl2anc |
|
19 |
18
|
oveq2d |
|
20 |
|
simp33 |
|
21 |
|
simp21l |
|
22 |
14 4
|
atbase |
|
23 |
21 22
|
syl |
|
24 |
|
simp22l |
|
25 |
14 4
|
atbase |
|
26 |
24 25
|
syl |
|
27 |
14 2
|
latjcl |
|
28 |
10 23 26 27
|
syl3anc |
|
29 |
14 1 2
|
latleeqj2 |
|
30 |
10 16 28 29
|
syl3anc |
|
31 |
20 30
|
mpbid |
|
32 |
19 31
|
eqtr2d |
|
33 |
|
simp21 |
|
34 |
1 2 3 4 5 6 7
|
cdleme1 |
|
35 |
11 12 13 33 34
|
syl13anc |
|
36 |
|
simp22 |
|
37 |
1 2 3 4 5 6 8
|
cdleme1 |
|
38 |
11 12 13 36 37
|
syl13anc |
|
39 |
35 38
|
oveq12d |
|
40 |
14 2
|
latj4 |
|
41 |
10 23 26 16 16 40
|
syl122anc |
|
42 |
39 41
|
eqtr4d |
|
43 |
32 42
|
eqtr4d |
|
44 |
1 2 3 4 5 6 7 14
|
cdleme1b |
|
45 |
11 12 13 21 44
|
syl13anc |
|
46 |
1 2 3 4 5 6 8 14
|
cdleme1b |
|
47 |
11 12 13 24 46
|
syl13anc |
|
48 |
14 2
|
latj4 |
|
49 |
10 23 45 26 47 48
|
syl122anc |
|
50 |
43 49
|
eqtr2d |
|
51 |
14 2
|
latjcl |
|
52 |
10 45 47 51
|
syl3anc |
|
53 |
14 1 2
|
latleeqj2 |
|
54 |
10 52 28 53
|
syl3anc |
|
55 |
50 54
|
mpbird |
|
56 |
|
simp12 |
|
57 |
|
simp13 |
|
58 |
|
simp23l |
|
59 |
|
simp31 |
|
60 |
1 2 3 4 5 6 7
|
cdleme3fa |
|
61 |
11 56 57 33 58 59 60
|
syl132anc |
|
62 |
|
simp32 |
|
63 |
1 2 3 4 5 6 8
|
cdleme3fa |
|
64 |
11 56 57 36 58 62 63
|
syl132anc |
|
65 |
1 2 3 4 5 6 7 8
|
cdleme11l |
|
66 |
1 2 4
|
ps-1 |
|
67 |
9 61 64 65 21 24 66
|
syl132anc |
|
68 |
55 67
|
mpbid |
|