Step |
Hyp |
Ref |
Expression |
1 |
|
lssatle.s |
|
2 |
|
lssatle.a |
|
3 |
|
lssatle.w |
|
4 |
|
lssatle.t |
|
5 |
|
lssatle.u |
|
6 |
|
sstr |
|
7 |
6
|
expcom |
|
8 |
7
|
ralrimivw |
|
9 |
|
ss2rab |
|
10 |
3
|
adantr |
|
11 |
1 2
|
lsatlss |
|
12 |
|
rabss2 |
|
13 |
|
uniss |
|
14 |
3 11 12 13
|
4syl |
|
15 |
|
unimax |
|
16 |
5 15
|
syl |
|
17 |
|
eqid |
|
18 |
17 1
|
lssss |
|
19 |
5 18
|
syl |
|
20 |
16 19
|
eqsstrd |
|
21 |
14 20
|
sstrd |
|
22 |
21
|
adantr |
|
23 |
|
uniss |
|
24 |
23
|
adantl |
|
25 |
|
eqid |
|
26 |
17 25
|
lspss |
|
27 |
10 22 24 26
|
syl3anc |
|
28 |
27
|
ex |
|
29 |
1 25 2
|
lssats |
|
30 |
3 4 29
|
syl2anc |
|
31 |
1 25 2
|
lssats |
|
32 |
3 5 31
|
syl2anc |
|
33 |
30 32
|
sseq12d |
|
34 |
28 33
|
sylibrd |
|
35 |
9 34
|
syl5bir |
|
36 |
8 35
|
impbid2 |
|