Step |
Hyp |
Ref |
Expression |
1 |
|
atle.b |
|
2 |
|
atle.l |
|
3 |
|
atle.z |
|
4 |
|
atle.a |
|
5 |
|
simp1 |
|
6 |
|
hlop |
|
7 |
6
|
3ad2ant1 |
|
8 |
1 3
|
op0cl |
|
9 |
7 8
|
syl |
|
10 |
|
simp2 |
|
11 |
|
simp3 |
|
12 |
|
eqid |
|
13 |
1 12 3
|
opltn0 |
|
14 |
7 10 13
|
syl2anc |
|
15 |
11 14
|
mpbird |
|
16 |
|
eqid |
|
17 |
1 2 12 16 4
|
hlrelat |
|
18 |
5 9 10 15 17
|
syl31anc |
|
19 |
|
simpl1 |
|
20 |
|
hlol |
|
21 |
19 20
|
syl |
|
22 |
1 4
|
atbase |
|
23 |
22
|
adantl |
|
24 |
1 16 3
|
olj02 |
|
25 |
21 23 24
|
syl2anc |
|
26 |
25
|
breq1d |
|
27 |
26
|
biimpd |
|
28 |
27
|
adantld |
|
29 |
28
|
reximdva |
|
30 |
18 29
|
mpd |
|