Step |
Hyp |
Ref |
Expression |
1 |
|
cnss2.1 |
|
2 |
|
eqid |
|
3 |
2 1
|
cnf |
|
4 |
3
|
adantl |
|
5 |
|
simplr |
|
6 |
|
cnima |
|
7 |
6
|
ralrimiva |
|
8 |
7
|
adantl |
|
9 |
|
ssralv |
|
10 |
5 8 9
|
sylc |
|
11 |
|
cntop1 |
|
12 |
11
|
adantl |
|
13 |
|
toptopon2 |
|
14 |
12 13
|
sylib |
|
15 |
|
simpll |
|
16 |
|
iscn |
|
17 |
14 15 16
|
syl2anc |
|
18 |
4 10 17
|
mpbir2and |
|
19 |
18
|
ex |
|
20 |
19
|
ssrdv |
|