Step |
Hyp |
Ref |
Expression |
1 |
|
4at.l |
|
2 |
|
4at.j |
|
3 |
|
4at.a |
|
4 |
|
simpl1 |
|
5 |
4
|
hllatd |
|
6 |
|
simpl2 |
|
7 |
|
eqid |
|
8 |
7 3
|
atbase |
|
9 |
6 8
|
syl |
|
10 |
|
simpl3 |
|
11 |
7 3
|
atbase |
|
12 |
10 11
|
syl |
|
13 |
|
simprl |
|
14 |
|
simprr |
|
15 |
7 2 3
|
hlatjcl |
|
16 |
4 13 14 15
|
syl3anc |
|
17 |
7 2
|
latjass |
|
18 |
5 9 12 16 17
|
syl13anc |
|
19 |
2 3
|
hlatjass |
|
20 |
4 10 13 14 19
|
syl13anc |
|
21 |
20
|
oveq2d |
|
22 |
18 21
|
eqtr4d |
|