Step |
Hyp |
Ref |
Expression |
1 |
|
sssucid |
|
2 |
|
sstr2 |
|
3 |
1 2
|
mpi |
|
4 |
|
eleq1 |
|
5 |
4
|
biimpcd |
|
6 |
|
limsuc |
|
7 |
6
|
biimpa |
|
8 |
|
limord |
|
9 |
|
ordelord |
|
10 |
8 9
|
sylan |
|
11 |
|
ordsuc |
|
12 |
10 11
|
sylib |
|
13 |
|
ordtri1 |
|
14 |
8 12 13
|
syl2an2r |
|
15 |
14
|
con2bid |
|
16 |
7 15
|
mpbid |
|
17 |
16
|
ex |
|
18 |
5 17
|
sylan9r |
|
19 |
18
|
con2d |
|
20 |
19
|
ex |
|
21 |
20
|
com23 |
|
22 |
21
|
imp31 |
|
23 |
|
ssel2 |
|
24 |
|
vex |
|
25 |
24
|
elsuc |
|
26 |
23 25
|
sylib |
|
27 |
26
|
ord |
|
28 |
27
|
con1d |
|
29 |
28
|
adantll |
|
30 |
22 29
|
mpd |
|
31 |
30
|
ex |
|
32 |
31
|
ssrdv |
|
33 |
32
|
ex |
|
34 |
3 33
|
impbid2 |
|