Step |
Hyp |
Ref |
Expression |
1 |
|
onsucconni.1 |
|
2 |
|
onsuctop |
|
3 |
1 2
|
ax-mp |
|
4 |
|
elin |
|
5 |
|
elsuci |
|
6 |
1
|
onunisuci |
|
7 |
6
|
eqcomi |
|
8 |
7
|
cldopn |
|
9 |
1
|
onsuci |
|
10 |
9
|
oneli |
|
11 |
|
elndif |
|
12 |
|
on0eln0 |
|
13 |
12
|
biimprd |
|
14 |
13
|
necon1bd |
|
15 |
|
ssdif0 |
|
16 |
1
|
onssneli |
|
17 |
15 16
|
sylbir |
|
18 |
11 14 17
|
syl56 |
|
19 |
18
|
con2d |
|
20 |
1
|
oneli |
|
21 |
|
on0eln0 |
|
22 |
21
|
biimprd |
|
23 |
20 22
|
syl |
|
24 |
23
|
necon1bd |
|
25 |
19 24
|
sylcom |
|
26 |
10 25
|
syl |
|
27 |
26
|
orim1d |
|
28 |
27
|
impcom |
|
29 |
|
vex |
|
30 |
29
|
elpr |
|
31 |
28 30
|
sylibr |
|
32 |
5 8 31
|
syl2an |
|
33 |
4 32
|
sylbi |
|
34 |
33
|
ssriv |
|
35 |
7
|
isconn2 |
|
36 |
3 34 35
|
mpbir2an |
|