Step |
Hyp |
Ref |
Expression |
1 |
|
onfr |
|
2 |
|
df-po |
|
3 |
|
eloni |
|
4 |
|
ordirr |
|
5 |
3 4
|
syl |
|
6 |
|
epel |
|
7 |
5 6
|
sylnibr |
|
8 |
|
ontr1 |
|
9 |
|
epel |
|
10 |
|
epel |
|
11 |
9 10
|
anbi12i |
|
12 |
|
epel |
|
13 |
8 11 12
|
3imtr4g |
|
14 |
7 13
|
anim12i |
|
15 |
14
|
ralrimiva |
|
16 |
15
|
ralrimivw |
|
17 |
2 16
|
mprgbir |
|
18 |
|
eloni |
|
19 |
|
ordtri3or |
|
20 |
|
biid |
|
21 |
|
epel |
|
22 |
9 20 21
|
3orbi123i |
|
23 |
19 22
|
sylibr |
|
24 |
3 18 23
|
syl2an |
|
25 |
24
|
rgen2 |
|
26 |
|
df-so |
|
27 |
17 25 26
|
mpbir2an |
|
28 |
|
df-we |
|
29 |
1 27 28
|
mpbir2an |
|