Step |
Hyp |
Ref |
Expression |
1 |
|
oicl.1 |
|
2 |
|
simprr |
|
3 |
1
|
ordtype |
|
4 |
3
|
adantr |
|
5 |
|
isocnv |
|
6 |
4 5
|
syl |
|
7 |
|
isotr |
|
8 |
2 6 7
|
syl2anc |
|
9 |
|
simprl |
|
10 |
1
|
oicl |
|
11 |
10
|
a1i |
|
12 |
|
ordiso2 |
|
13 |
8 9 11 12
|
syl3anc |
|
14 |
|
ordwe |
|
15 |
14
|
ad2antrl |
|
16 |
|
epse |
|
17 |
16
|
a1i |
|
18 |
|
isoeq4 |
|
19 |
13 18
|
syl |
|
20 |
4 19
|
mpbird |
|
21 |
|
weisoeq |
|
22 |
15 17 2 20 21
|
syl22anc |
|
23 |
13 22
|
jca |
|
24 |
23
|
ex |
|
25 |
3 10
|
jctil |
|
26 |
|
ordeq |
|
27 |
26
|
adantr |
|
28 |
|
isoeq4 |
|
29 |
|
isoeq1 |
|
30 |
28 29
|
sylan9bb |
|
31 |
27 30
|
anbi12d |
|
32 |
25 31
|
syl5ibrcom |
|
33 |
24 32
|
impbid |
|