Step |
Hyp |
Ref |
Expression |
1 |
|
2llnm2.l |
|
2 |
|
2llnm2.m |
|
3 |
|
2llnm2.a |
|
4 |
|
2llnm2.n |
|
5 |
|
2llnm2.p |
|
6 |
|
simp22 |
|
7 |
|
simp1 |
|
8 |
|
hllat |
|
9 |
8
|
3ad2ant1 |
|
10 |
|
simp21 |
|
11 |
|
eqid |
|
12 |
11 4
|
llnbase |
|
13 |
10 12
|
syl |
|
14 |
11 4
|
llnbase |
|
15 |
6 14
|
syl |
|
16 |
11 2
|
latmcl |
|
17 |
9 13 15 16
|
syl3anc |
|
18 |
|
eqid |
|
19 |
1 18 4 5
|
2llnjN |
|
20 |
|
simp23 |
|
21 |
19 20
|
eqeltrd |
|
22 |
11 1 18
|
latlej1 |
|
23 |
9 13 15 22
|
syl3anc |
|
24 |
|
eqid |
|
25 |
1 24 4 5
|
llncvrlpln2 |
|
26 |
7 10 21 23 25
|
syl31anc |
|
27 |
11 18 2 24
|
cvrexch |
|
28 |
7 13 15 27
|
syl3anc |
|
29 |
26 28
|
mpbird |
|
30 |
11 24 3 4
|
atcvrlln |
|
31 |
7 17 15 29 30
|
syl31anc |
|
32 |
6 31
|
mpbird |
|