Step |
Hyp |
Ref |
Expression |
1 |
|
rankpwi |
|
2 |
1
|
eleq1d |
|
3 |
|
eloni |
|
4 |
|
ordsucelsuc |
|
5 |
3 4
|
syl |
|
6 |
5
|
bicomd |
|
7 |
2 6
|
sylan9bb |
|
8 |
|
pwwf |
|
9 |
8
|
biimpi |
|
10 |
|
suceloni |
|
11 |
|
r1fnon |
|
12 |
|
fndm |
|
13 |
11 12
|
ax-mp |
|
14 |
10 13
|
eleqtrrdi |
|
15 |
|
rankr1ag |
|
16 |
9 14 15
|
syl2an |
|
17 |
13
|
eleq2i |
|
18 |
|
rankr1ag |
|
19 |
17 18
|
sylan2br |
|
20 |
7 16 19
|
3bitr4rd |
|
21 |
20
|
ex |
|
22 |
|
r1elwf |
|
23 |
|
r1elwf |
|
24 |
|
r1elssi |
|
25 |
23 24
|
syl |
|
26 |
|
ssid |
|
27 |
|
pwexr |
|
28 |
|
elpwg |
|
29 |
27 28
|
syl |
|
30 |
26 29
|
mpbiri |
|
31 |
25 30
|
sseldd |
|
32 |
22 31
|
pm5.21ni |
|
33 |
32
|
a1d |
|
34 |
21 33
|
pm2.61i |
|