Step |
Hyp |
Ref |
Expression |
1 |
|
oeordi |
|
2 |
1
|
3adant1 |
|
3 |
|
oveq2 |
|
4 |
3
|
a1i |
|
5 |
|
oeordi |
|
6 |
5
|
3adant2 |
|
7 |
4 6
|
orim12d |
|
8 |
7
|
con3d |
|
9 |
|
eldifi |
|
10 |
9
|
3ad2ant3 |
|
11 |
|
simp1 |
|
12 |
|
oecl |
|
13 |
10 11 12
|
syl2anc |
|
14 |
|
simp2 |
|
15 |
|
oecl |
|
16 |
10 14 15
|
syl2anc |
|
17 |
|
eloni |
|
18 |
|
eloni |
|
19 |
|
ordtri2 |
|
20 |
17 18 19
|
syl2an |
|
21 |
13 16 20
|
syl2anc |
|
22 |
|
eloni |
|
23 |
|
eloni |
|
24 |
|
ordtri2 |
|
25 |
22 23 24
|
syl2an |
|
26 |
25
|
3adant3 |
|
27 |
8 21 26
|
3imtr4d |
|
28 |
2 27
|
impbid |
|