Step |
Hyp |
Ref |
Expression |
1 |
|
omsson |
|
2 |
|
sstr |
|
3 |
1 2
|
mpan2 |
|
4 |
3
|
ssdifssd |
|
5 |
4
|
ad2antrr |
|
6 |
|
ssel |
|
7 |
|
peano2b |
|
8 |
6 7
|
syl6ib |
|
9 |
|
eleq1 |
|
10 |
9
|
rexbidv |
|
11 |
10
|
rspccva |
|
12 |
|
ssel |
|
13 |
|
nnord |
|
14 |
|
ordn2lp |
|
15 |
|
imnan |
|
16 |
14 15
|
sylibr |
|
17 |
16
|
con2d |
|
18 |
13 17
|
syl |
|
19 |
12 18
|
syl6 |
|
20 |
19
|
imdistand |
|
21 |
|
eldif |
|
22 |
|
ne0i |
|
23 |
21 22
|
sylbir |
|
24 |
20 23
|
syl6 |
|
25 |
24
|
expd |
|
26 |
25
|
rexlimdv |
|
27 |
11 26
|
syl5 |
|
28 |
8 27
|
sylan2d |
|
29 |
28
|
impl |
|
30 |
|
onint |
|
31 |
5 29 30
|
syl2anc |
|
32 |
31
|
eldifad |
|