Step |
Hyp |
Ref |
Expression |
1 |
|
4at.l |
|
2 |
|
4at.j |
|
3 |
|
4at.a |
|
4 |
|
simpl1 |
|
5 |
|
simpl2 |
|
6 |
|
simpl3 |
|
7 |
|
simprl |
|
8 |
|
simprr |
|
9 |
2 3
|
hlatj4 |
|
10 |
4 5 6 7 8 9
|
syl122anc |
|
11 |
4
|
hllatd |
|
12 |
|
eqid |
|
13 |
12 2 3
|
hlatjcl |
|
14 |
4 5 7 13
|
syl3anc |
|
15 |
12 3
|
atbase |
|
16 |
6 15
|
syl |
|
17 |
12 3
|
atbase |
|
18 |
17
|
ad2antll |
|
19 |
12 2
|
latj12 |
|
20 |
11 14 16 18 19
|
syl13anc |
|
21 |
10 20
|
eqtrd |
|