Step |
Hyp |
Ref |
Expression |
1 |
|
distgp.1 |
|
2 |
|
distgp.2 |
|
3 |
|
simpl |
|
4 |
|
simpr |
|
5 |
1
|
fvexi |
|
6 |
|
indistopon |
|
7 |
5 6
|
ax-mp |
|
8 |
4 7
|
eqeltrdi |
|
9 |
1 2
|
istps |
|
10 |
8 9
|
sylibr |
|
11 |
|
eqid |
|
12 |
1 11
|
grpsubf |
|
13 |
12
|
adantr |
|
14 |
5 5
|
xpex |
|
15 |
5 14
|
elmap |
|
16 |
13 15
|
sylibr |
|
17 |
4
|
oveq2d |
|
18 |
|
txtopon |
|
19 |
8 8 18
|
syl2anc |
|
20 |
|
cnindis |
|
21 |
19 5 20
|
sylancl |
|
22 |
17 21
|
eqtrd |
|
23 |
16 22
|
eleqtrrd |
|
24 |
2 11
|
istgp2 |
|
25 |
3 10 23 24
|
syl3anbrc |
|