Step |
Hyp |
Ref |
Expression |
1 |
|
dalawlem.l |
|
2 |
|
dalawlem.j |
|
3 |
|
dalawlem.m |
|
4 |
|
dalawlem.a |
|
5 |
|
simp1 |
|
6 |
5
|
hllatd |
|
7 |
|
simp2l |
|
8 |
|
simp2r |
|
9 |
|
eqid |
|
10 |
9 2 4
|
hlatjcl |
|
11 |
5 7 8 10
|
syl3anc |
|
12 |
|
simp3r |
|
13 |
9 4
|
atbase |
|
14 |
12 13
|
syl |
|
15 |
9 1 2
|
latlej1 |
|
16 |
6 11 14 15
|
syl3anc |
|
17 |
|
simp3l |
|
18 |
9 4
|
atbase |
|
19 |
17 18
|
syl |
|
20 |
9 1 2
|
latlej1 |
|
21 |
6 11 19 20
|
syl3anc |
|
22 |
9 2
|
latjcl |
|
23 |
6 11 14 22
|
syl3anc |
|
24 |
9 2
|
latjcl |
|
25 |
6 11 19 24
|
syl3anc |
|
26 |
9 1 3
|
latlem12 |
|
27 |
6 11 23 25 26
|
syl13anc |
|
28 |
16 21 27
|
mpbi2and |
|
29 |
9 3
|
latmcl |
|
30 |
6 23 25 29
|
syl3anc |
|
31 |
9 2 4
|
hlatjcl |
|
32 |
5 17 12 31
|
syl3anc |
|
33 |
9 1 3
|
latmlem1 |
|
34 |
6 11 30 32 33
|
syl13anc |
|
35 |
28 34
|
mpd |
|
36 |
9 1 2
|
latlej2 |
|
37 |
6 11 19 36
|
syl3anc |
|
38 |
9 1 2 3 4
|
atmod3i1 |
|
39 |
5 17 25 14 37 38
|
syl131anc |
|
40 |
39
|
oveq2d |
|
41 |
9 3
|
latmcl |
|
42 |
6 25 14 41
|
syl3anc |
|
43 |
9 1 2 3
|
latmlej22 |
|
44 |
6 14 25 11 43
|
syl13anc |
|
45 |
9 1 2 3 4
|
atmod2i2 |
|
46 |
5 17 23 42 44 45
|
syl131anc |
|
47 |
|
hlol |
|
48 |
5 47
|
syl |
|
49 |
9 3
|
latmassOLD |
|
50 |
48 23 25 32 49
|
syl13anc |
|
51 |
40 46 50
|
3eqtr4rd |
|
52 |
35 51
|
breqtrd |
|