Step |
Hyp |
Ref |
Expression |
1 |
|
lrelat.s |
|
2 |
|
lrelat.p |
|
3 |
|
lrelat.a |
|
4 |
|
lrelat.w |
|
5 |
|
lrelat.t |
|
6 |
|
lrelat.u |
|
7 |
|
lrelat.l |
|
8 |
1 3 4 5 6 7
|
lpssat |
|
9 |
|
ancom |
|
10 |
4
|
adantr |
|
11 |
1
|
lsssssubg |
|
12 |
10 11
|
syl |
|
13 |
5
|
adantr |
|
14 |
12 13
|
sseldd |
|
15 |
|
simpr |
|
16 |
1 3 10 15
|
lsatlssel |
|
17 |
12 16
|
sseldd |
|
18 |
2 14 17
|
lssnle |
|
19 |
7
|
pssssd |
|
20 |
19
|
adantr |
|
21 |
20
|
biantrurd |
|
22 |
6
|
adantr |
|
23 |
12 22
|
sseldd |
|
24 |
2
|
lsmlub |
|
25 |
14 17 23 24
|
syl3anc |
|
26 |
21 25
|
bitrd |
|
27 |
18 26
|
anbi12d |
|
28 |
9 27
|
syl5bb |
|
29 |
28
|
rexbidva |
|
30 |
8 29
|
mpbid |
|