Step |
Hyp |
Ref |
Expression |
1 |
|
ordom |
|
2 |
|
ordelss |
|
3 |
1 2
|
mpan |
|
4 |
3
|
adantr |
|
5 |
|
nnfi |
|
6 |
|
ssdomfi2 |
|
7 |
5 6
|
syl3an1 |
|
8 |
4 7
|
mpd3an3 |
|
9 |
8
|
ancoms |
|
10 |
|
ominf |
|
11 |
|
ensymfib |
|
12 |
5 11
|
syl |
|
13 |
|
breq2 |
|
14 |
13
|
rspcev |
|
15 |
|
isfi |
|
16 |
14 15
|
sylibr |
|
17 |
16
|
ex |
|
18 |
12 17
|
sylbid |
|
19 |
10 18
|
mtoi |
|
20 |
19
|
adantl |
|
21 |
|
brsdom |
|
22 |
9 20 21
|
sylanbrc |
|