Step |
Hyp |
Ref |
Expression |
1 |
|
pconnpi1.x |
|
2 |
|
pconnpi1.p |
|
3 |
|
pconnpi1.q |
|
4 |
|
pconnpi1.s |
|
5 |
|
pconnpi1.t |
|
6 |
1
|
pconncn |
|
7 |
|
eqid |
|
8 |
|
eqid |
|
9 |
|
eqid |
|
10 |
|
eqid |
|
11 |
|
simpl1 |
|
12 |
|
pconntop |
|
13 |
11 12
|
syl |
|
14 |
1
|
toptopon |
|
15 |
13 14
|
sylib |
|
16 |
|
simprl |
|
17 |
|
oveq2 |
|
18 |
17
|
fveq2d |
|
19 |
18
|
cbvmptv |
|
20 |
7 8 9 10 15 16 19
|
pi1xfrgim |
|
21 |
|
simprrl |
|
22 |
21
|
oveq2d |
|
23 |
22 2
|
eqtr4di |
|
24 |
|
simprrr |
|
25 |
24
|
oveq2d |
|
26 |
25 3
|
eqtr4di |
|
27 |
23 26
|
oveq12d |
|
28 |
20 27
|
eleqtrd |
|
29 |
|
brgici |
|
30 |
28 29
|
syl |
|
31 |
6 30
|
rexlimddv |
|