Step |
Hyp |
Ref |
Expression |
1 |
|
rrxtopn.1 |
|
2 |
|
eqid |
|
3 |
2
|
rrxval |
|
4 |
1 3
|
syl |
|
5 |
4
|
fveq2d |
|
6 |
|
ovex |
|
7 |
|
eqid |
|
8 |
|
eqid |
|
9 |
|
eqid |
|
10 |
7 8 9
|
tcphtopn |
|
11 |
6 10
|
ax-mp |
|
12 |
11
|
a1i |
|
13 |
4
|
eqcomd |
|
14 |
13
|
fveq2d |
|
15 |
14
|
fveq2d |
|
16 |
5 12 15
|
3eqtrd |
|
17 |
|
eqid |
|
18 |
2 17
|
rrxds |
|
19 |
1 18
|
syl |
|
20 |
19
|
eqcomd |
|
21 |
20
|
fveq2d |
|
22 |
16 21
|
eqtrd |
|