Step |
Hyp |
Ref |
Expression |
1 |
|
eloni |
|
2 |
|
df-ral |
|
3 |
|
ordelon |
|
4 |
|
ordelon |
|
5 |
3 4
|
anim12dan |
|
6 |
|
ordsuc |
|
7 |
|
ordelon |
|
8 |
7
|
ex |
|
9 |
6 8
|
sylbi |
|
10 |
9
|
adantr |
|
11 |
|
notbi |
|
12 |
|
ontri1 |
|
13 |
|
onsssuc |
|
14 |
12 13
|
bitr3d |
|
15 |
14
|
adantrr |
|
16 |
|
ontri1 |
|
17 |
|
onsssuc |
|
18 |
16 17
|
bitr3d |
|
19 |
18
|
adantrl |
|
20 |
15 19
|
bibi12d |
|
21 |
20
|
ancoms |
|
22 |
11 21
|
syl5bb |
|
23 |
22
|
biimpd |
|
24 |
5 10 23
|
syl6an |
|
25 |
24
|
a2d |
|
26 |
|
ordelss |
|
27 |
|
ordelord |
|
28 |
|
ordsucsssuc |
|
29 |
28
|
ancoms |
|
30 |
27 29
|
syldan |
|
31 |
26 30
|
mpbid |
|
32 |
31
|
ssneld |
|
33 |
32
|
adantrr |
|
34 |
|
ordelss |
|
35 |
|
ordelord |
|
36 |
|
ordsucsssuc |
|
37 |
36
|
ancoms |
|
38 |
35 37
|
syldan |
|
39 |
34 38
|
mpbid |
|
40 |
39
|
ssneld |
|
41 |
40
|
adantrl |
|
42 |
33 41
|
jcad |
|
43 |
|
pm5.21 |
|
44 |
42 43
|
syl6 |
|
45 |
|
idd |
|
46 |
44 45
|
jad |
|
47 |
25 46
|
syld |
|
48 |
47
|
alimdv |
|
49 |
2 48
|
syl5bi |
|
50 |
|
dfcleq |
|
51 |
|
suc11 |
|
52 |
50 51
|
bitr3id |
|
53 |
5 52
|
syl |
|
54 |
49 53
|
sylibd |
|
55 |
54
|
ralrimivva |
|
56 |
1 55
|
syl |
|
57 |
|
onsuctopon |
|
58 |
|
ist0-2 |
|
59 |
57 58
|
syl |
|
60 |
56 59
|
mpbird |
|