Step |
Hyp |
Ref |
Expression |
1 |
|
indistop |
|
2 |
|
indisuni |
|
3 |
2
|
iscld |
|
4 |
1 3
|
ax-mp |
|
5 |
|
simpl |
|
6 |
|
dfss4 |
|
7 |
5 6
|
sylib |
|
8 |
|
simpr |
|
9 |
|
indislem |
|
10 |
8 9
|
eleqtrrdi |
|
11 |
|
elpri |
|
12 |
|
difeq2 |
|
13 |
|
dif0 |
|
14 |
12 13
|
eqtrdi |
|
15 |
|
fvex |
|
16 |
15
|
prid2 |
|
17 |
16 9
|
eleqtri |
|
18 |
14 17
|
eqeltrdi |
|
19 |
|
difeq2 |
|
20 |
|
difid |
|
21 |
19 20
|
eqtrdi |
|
22 |
|
0ex |
|
23 |
22
|
prid1 |
|
24 |
21 23
|
eqeltrdi |
|
25 |
18 24
|
jaoi |
|
26 |
10 11 25
|
3syl |
|
27 |
7 26
|
eqeltrrd |
|
28 |
4 27
|
sylbi |
|
29 |
28
|
ssriv |
|
30 |
|
0cld |
|
31 |
1 30
|
ax-mp |
|
32 |
2
|
topcld |
|
33 |
1 32
|
ax-mp |
|
34 |
|
prssi |
|
35 |
31 33 34
|
mp2an |
|
36 |
9 35
|
eqsstrri |
|
37 |
29 36
|
eqssi |
|