Step |
Hyp |
Ref |
Expression |
1 |
|
hl2atom.a |
|
2 |
|
eqid |
|
3 |
|
eqid |
|
4 |
|
eqid |
|
5 |
|
eqid |
|
6 |
2 3 4 5
|
hlhgt2 |
|
7 |
|
simpl |
|
8 |
|
hlop |
|
9 |
8
|
adantr |
|
10 |
2 4
|
op0cl |
|
11 |
9 10
|
syl |
|
12 |
|
simpr |
|
13 |
|
eqid |
|
14 |
2 13 3 1
|
hlrelat1 |
|
15 |
7 11 12 14
|
syl3anc |
|
16 |
2 5
|
op1cl |
|
17 |
9 16
|
syl |
|
18 |
2 13 3 1
|
hlrelat1 |
|
19 |
17 18
|
mpd3an3 |
|
20 |
15 19
|
anim12d |
|
21 |
|
reeanv |
|
22 |
|
nbrne2 |
|
23 |
22
|
ad2ant2lr |
|
24 |
23
|
reximi |
|
25 |
24
|
reximi |
|
26 |
21 25
|
sylbir |
|
27 |
20 26
|
syl6 |
|
28 |
27
|
rexlimdva |
|
29 |
6 28
|
mpd |
|