Step |
Hyp |
Ref |
Expression |
1 |
|
cdlemg12.l |
|
2 |
|
cdlemg12.j |
|
3 |
|
cdlemg12.m |
|
4 |
|
cdlemg12.a |
|
5 |
|
cdlemg12.h |
|
6 |
|
cdlemg12.t |
|
7 |
|
cdlemg12b.r |
|
8 |
|
simp11 |
|
9 |
|
simp12 |
|
10 |
|
simp31 |
|
11 |
|
simp13 |
|
12 |
|
simp2r |
|
13 |
|
simp33 |
|
14 |
1 4 5 6 7
|
trlat |
|
15 |
8 9 12 13 14
|
syl112anc |
|
16 |
1 5 6 7
|
trlle |
|
17 |
8 12 16
|
syl2anc |
|
18 |
1 2 4 5
|
lhp2atnle |
|
19 |
8 9 10 11 15 17 18
|
syl312anc |
|
20 |
|
simp11l |
|
21 |
|
simp12l |
|
22 |
|
simp13l |
|
23 |
1 2 4
|
hlatlej1 |
|
24 |
20 21 22 23
|
syl3anc |
|
25 |
|
simp32 |
|
26 |
20
|
hllatd |
|
27 |
|
eqid |
|
28 |
27 4
|
atbase |
|
29 |
21 28
|
syl |
|
30 |
|
simp2l |
|
31 |
27 4
|
atbase |
|
32 |
30 31
|
syl |
|
33 |
27 2 4
|
hlatjcl |
|
34 |
20 21 22 33
|
syl3anc |
|
35 |
27 1 2
|
latjle12 |
|
36 |
26 29 32 34 35
|
syl13anc |
|
37 |
24 25 36
|
mpbi2and |
|
38 |
27 4
|
atbase |
|
39 |
15 38
|
syl |
|
40 |
27 2 4
|
hlatjcl |
|
41 |
20 21 30 40
|
syl3anc |
|
42 |
27 1
|
lattr |
|
43 |
26 39 41 34 42
|
syl13anc |
|
44 |
37 43
|
mpan2d |
|
45 |
19 44
|
mtod |
|