Step |
Hyp |
Ref |
Expression |
1 |
|
limensuci.1 |
|
2 |
1
|
limenpsi |
|
3 |
2
|
ensymd |
|
4 |
|
0ex |
|
5 |
|
en2sn |
|
6 |
4 5
|
mpan |
|
7 |
|
incom |
|
8 |
|
disjdif |
|
9 |
7 8
|
eqtri |
|
10 |
|
limord |
|
11 |
1 10
|
ax-mp |
|
12 |
|
ordirr |
|
13 |
11 12
|
ax-mp |
|
14 |
|
disjsn |
|
15 |
13 14
|
mpbir |
|
16 |
|
unen |
|
17 |
9 15 16
|
mpanr12 |
|
18 |
3 6 17
|
syl2anc |
|
19 |
|
0ellim |
|
20 |
1 19
|
ax-mp |
|
21 |
4
|
snss |
|
22 |
20 21
|
mpbi |
|
23 |
|
undif |
|
24 |
22 23
|
mpbi |
|
25 |
|
uncom |
|
26 |
24 25
|
eqtr3i |
|
27 |
|
df-suc |
|
28 |
18 26 27
|
3brtr4g |
|