Step |
Hyp |
Ref |
Expression |
1 |
|
simpr |
|
2 |
|
cntop2 |
|
3 |
2
|
adantl |
|
4 |
|
restrcl |
|
5 |
|
eqid |
|
6 |
5
|
restin |
|
7 |
3 4 6
|
3syl |
|
8 |
7
|
oveq2d |
|
9 |
1 8
|
eleqtrd |
|
10 |
|
simpl |
|
11 |
|
toptopon2 |
|
12 |
10 11
|
sylib |
|
13 |
|
cntop1 |
|
14 |
13
|
adantl |
|
15 |
|
toptopon2 |
|
16 |
14 15
|
sylib |
|
17 |
|
inss2 |
|
18 |
|
resttopon |
|
19 |
12 17 18
|
sylancl |
|
20 |
|
cnf2 |
|
21 |
16 19 9 20
|
syl3anc |
|
22 |
21
|
frnd |
|
23 |
17
|
a1i |
|
24 |
|
cnrest2 |
|
25 |
12 22 23 24
|
syl3anc |
|
26 |
9 25
|
mpbird |
|
27 |
26
|
ex |
|
28 |
27
|
ssrdv |
|