Step |
Hyp |
Ref |
Expression |
1 |
|
ordelord |
|
2 |
|
ordnbtwn |
|
3 |
2
|
pm2.21d |
|
4 |
3
|
expd |
|
5 |
4
|
com12 |
|
6 |
5
|
adantl |
|
7 |
1 6
|
mpd |
|
8 |
|
sucidg |
|
9 |
8
|
adantl |
|
10 |
|
ordelon |
|
11 |
|
onsuc |
|
12 |
10 11
|
syl |
|
13 |
|
eleq2 |
|
14 |
|
eleq1 |
|
15 |
13 14
|
anbi12d |
|
16 |
15
|
adantl |
|
17 |
12 16
|
rspcedv |
|
18 |
9 17
|
mpand |
|
19 |
7 18
|
jaod |
|
20 |
|
ralnex |
|
21 |
20
|
biimpi |
|
22 |
19 21
|
nsyli |
|
23 |
|
ordsuci |
|
24 |
1 23
|
syl |
|
25 |
|
ordtri3 |
|
26 |
24 25
|
syldan |
|
27 |
22 26
|
sylibrd |
|
28 |
27
|
ancoms |
|