Step |
Hyp |
Ref |
Expression |
1 |
|
3dim0.j |
|
2 |
|
3dim0.l |
|
3 |
|
3dim0.a |
|
4 |
|
simp3l |
|
5 |
|
simp22 |
|
6 |
1 3
|
hlatjcom |
|
7 |
6
|
3ad2ant1 |
|
8 |
|
simp3r |
|
9 |
|
simp11 |
|
10 |
|
simp12 |
|
11 |
|
simp21 |
|
12 |
|
simp13 |
|
13 |
2 1 3
|
hlatexchb1 |
|
14 |
9 10 11 12 4 13
|
syl131anc |
|
15 |
8 14
|
mpbid |
|
16 |
7 15
|
eqtrd |
|
17 |
16
|
breq2d |
|
18 |
5 17
|
mtbird |
|
19 |
|
simp23 |
|
20 |
16
|
oveq1d |
|
21 |
20
|
breq2d |
|
22 |
19 21
|
mtbird |
|
23 |
4 18 22
|
3jca |
|