Step |
Hyp |
Ref |
Expression |
1 |
|
card2inf.1 |
|
2 |
|
breq1 |
|
3 |
|
breq1 |
|
4 |
|
breq1 |
|
5 |
|
0elon |
|
6 |
|
breq1 |
|
7 |
6
|
rspcev |
|
8 |
5 7
|
mpan |
|
9 |
8
|
con3i |
|
10 |
1
|
0dom |
|
11 |
|
brsdom |
|
12 |
10 11
|
mpbiran |
|
13 |
9 12
|
sylibr |
|
14 |
|
sucdom2 |
|
15 |
14
|
ad2antll |
|
16 |
|
nnon |
|
17 |
|
suceloni |
|
18 |
|
breq1 |
|
19 |
18
|
rspcev |
|
20 |
19
|
ex |
|
21 |
16 17 20
|
3syl |
|
22 |
21
|
con3dimp |
|
23 |
22
|
adantrr |
|
24 |
|
brsdom |
|
25 |
15 23 24
|
sylanbrc |
|
26 |
25
|
exp32 |
|
27 |
2 3 4 13 26
|
finds2 |
|
28 |
27
|
com12 |
|
29 |
28
|
ralrimiv |
|
30 |
|
omsson |
|
31 |
|
ssrab |
|
32 |
30 31
|
mpbiran |
|
33 |
29 32
|
sylibr |
|