Step |
Hyp |
Ref |
Expression |
1 |
|
omordi |
|
2 |
1
|
3adantl1 |
|
3 |
|
oveq2 |
|
4 |
3
|
a1i |
|
5 |
|
omordi |
|
6 |
5
|
3adantl2 |
|
7 |
4 6
|
orim12d |
|
8 |
7
|
con3d |
|
9 |
|
omcl |
|
10 |
|
omcl |
|
11 |
|
eloni |
|
12 |
|
eloni |
|
13 |
|
ordtri2 |
|
14 |
11 12 13
|
syl2an |
|
15 |
9 10 14
|
syl2an |
|
16 |
15
|
anandis |
|
17 |
16
|
ancoms |
|
18 |
17
|
3impa |
|
19 |
18
|
adantr |
|
20 |
|
eloni |
|
21 |
|
eloni |
|
22 |
|
ordtri2 |
|
23 |
20 21 22
|
syl2an |
|
24 |
23
|
3adant3 |
|
25 |
24
|
adantr |
|
26 |
8 19 25
|
3imtr4d |
|
27 |
2 26
|
impbid |
|