Step |
Hyp |
Ref |
Expression |
1 |
|
ssltex1 |
|
2 |
1
|
adantr |
|
3 |
|
ssltex2 |
|
4 |
3
|
adantr |
|
5 |
|
simpr |
|
6 |
4 5
|
ssexd |
|
7 |
|
ssltss1 |
|
8 |
7
|
adantr |
|
9 |
|
ssltss2 |
|
10 |
9
|
adantr |
|
11 |
5 10
|
sstrd |
|
12 |
|
ssltsep |
|
13 |
12
|
adantr |
|
14 |
|
ssralv |
|
15 |
5 14
|
syl |
|
16 |
15
|
ralimdv |
|
17 |
13 16
|
mpd |
|
18 |
8 11 17
|
3jca |
|
19 |
|
brsslt |
|
20 |
2 6 18 19
|
syl21anbrc |
|