Step |
Hyp |
Ref |
Expression |
1 |
|
elpri |
|
2 |
|
topontop |
|
3 |
2
|
ad2antrr |
|
4 |
|
0opn |
|
5 |
3 4
|
syl |
|
6 |
|
imaeq2 |
|
7 |
|
ima0 |
|
8 |
6 7
|
eqtrdi |
|
9 |
8
|
eleq1d |
|
10 |
5 9
|
syl5ibrcom |
|
11 |
|
fimacnv |
|
12 |
11
|
adantl |
|
13 |
|
toponmax |
|
14 |
13
|
ad2antrr |
|
15 |
12 14
|
eqeltrd |
|
16 |
|
imaeq2 |
|
17 |
16
|
eleq1d |
|
18 |
15 17
|
syl5ibrcom |
|
19 |
10 18
|
jaod |
|
20 |
1 19
|
syl5 |
|
21 |
20
|
ralrimiv |
|
22 |
21
|
ex |
|
23 |
22
|
pm4.71d |
|
24 |
|
id |
|
25 |
|
elmapg |
|
26 |
24 13 25
|
syl2anr |
|
27 |
|
indistopon |
|
28 |
|
iscn |
|
29 |
27 28
|
sylan2 |
|
30 |
23 26 29
|
3bitr4rd |
|
31 |
30
|
eqrdv |
|