Step |
Hyp |
Ref |
Expression |
1 |
|
atbtwn.b |
|
2 |
|
atbtwn.l |
|
3 |
|
atbtwn.j |
|
4 |
|
atbtwn.a |
|
5 |
|
simpr2 |
|
6 |
|
simpr3 |
|
7 |
|
nbrne2 |
|
8 |
5 6 7
|
syl2anc |
|
9 |
2 3 4
|
hlsupr |
|
10 |
8 9
|
syldan |
|
11 |
|
simp32 |
|
12 |
|
simp31 |
|
13 |
|
simp1l |
|
14 |
|
simp2 |
|
15 |
|
simp1r1 |
|
16 |
|
simp1r2 |
|
17 |
|
simp1r3 |
|
18 |
|
simp33 |
|
19 |
1 2 3 4
|
atbtwn |
|
20 |
13 14 15 16 17 18 19
|
syl123anc |
|
21 |
12 20
|
mpbid |
|
22 |
|
simp1l1 |
|
23 |
|
simp1l2 |
|
24 |
|
simp1l3 |
|
25 |
2 3 4
|
hlatexch2 |
|
26 |
22 14 23 24 11 25
|
syl131anc |
|
27 |
18 26
|
mpd |
|
28 |
3 4
|
hlatjcom |
|
29 |
22 24 14 28
|
syl3anc |
|
30 |
27 29
|
breqtrrd |
|
31 |
11 21 30
|
3jca |
|
32 |
31
|
3exp |
|
33 |
32
|
reximdvai |
|
34 |
10 33
|
mpd |
|