Step |
Hyp |
Ref |
Expression |
1 |
|
dalem.ph |
|
2 |
|
dalem.l |
|
3 |
|
dalem.j |
|
4 |
|
dalem.a |
|
5 |
|
dalem.ps |
|
6 |
|
dalem23.m |
|
7 |
|
dalem23.o |
|
8 |
|
dalem23.y |
|
9 |
|
dalem23.z |
|
10 |
|
dalem23.g |
|
11 |
10
|
oveq1i |
|
12 |
1
|
dalemkehl |
|
13 |
|
hlol |
|
14 |
12 13
|
syl |
|
15 |
14
|
3ad2ant1 |
|
16 |
12
|
3ad2ant1 |
|
17 |
5
|
dalemccea |
|
18 |
17
|
3ad2ant3 |
|
19 |
1
|
dalempea |
|
20 |
19
|
3ad2ant1 |
|
21 |
|
eqid |
|
22 |
21 3 4
|
hlatjcl |
|
23 |
16 18 20 22
|
syl3anc |
|
24 |
5
|
dalemddea |
|
25 |
24
|
3ad2ant3 |
|
26 |
1
|
dalemsea |
|
27 |
26
|
3ad2ant1 |
|
28 |
21 3 4
|
hlatjcl |
|
29 |
16 25 27 28
|
syl3anc |
|
30 |
1 7
|
dalemyeb |
|
31 |
30
|
3ad2ant1 |
|
32 |
21 6
|
latmmdir |
|
33 |
15 23 29 31 32
|
syl13anc |
|
34 |
11 33
|
syl5eq |
|
35 |
3 4
|
hlatjcom |
|
36 |
16 18 20 35
|
syl3anc |
|
37 |
36
|
oveq1d |
|
38 |
1 2 3 4 7 8
|
dalemply |
|
39 |
38
|
3ad2ant1 |
|
40 |
5
|
dalem-ccly |
|
41 |
40
|
3ad2ant3 |
|
42 |
21 2 3 6 4
|
2atjm |
|
43 |
16 20 18 31 39 41 42
|
syl132anc |
|
44 |
37 43
|
eqtrd |
|
45 |
3 4
|
hlatjcom |
|
46 |
16 25 27 45
|
syl3anc |
|
47 |
46
|
oveq1d |
|
48 |
1 2 3 4 9
|
dalemsly |
|
49 |
48
|
3adant3 |
|
50 |
5
|
dalem-ddly |
|
51 |
50
|
3ad2ant3 |
|
52 |
21 2 3 6 4
|
2atjm |
|
53 |
16 27 25 31 49 51 52
|
syl132anc |
|
54 |
47 53
|
eqtrd |
|
55 |
44 54
|
oveq12d |
|
56 |
1 2 3 4 7 8
|
dalempnes |
|
57 |
|
hlatl |
|
58 |
12 57
|
syl |
|
59 |
|
eqid |
|
60 |
6 59 4
|
atnem0 |
|
61 |
58 19 26 60
|
syl3anc |
|
62 |
56 61
|
mpbid |
|
63 |
62
|
3ad2ant1 |
|
64 |
34 55 63
|
3eqtrd |
|
65 |
58
|
3ad2ant1 |
|
66 |
1 2 3 4 5 6 7 8 9 10
|
dalem23 |
|
67 |
21 2 6 59 4
|
atnle |
|
68 |
65 66 31 67
|
syl3anc |
|
69 |
64 68
|
mpbird |
|