Step |
Hyp |
Ref |
Expression |
1 |
|
oveq2 |
|
2 |
|
oveq2 |
|
3 |
1 2
|
sseq12d |
|
4 |
3
|
imbi2d |
|
5 |
4
|
imbi2d |
|
6 |
|
oveq2 |
|
7 |
|
oveq2 |
|
8 |
6 7
|
sseq12d |
|
9 |
8
|
imbi2d |
|
10 |
9
|
imbi2d |
|
11 |
|
oveq2 |
|
12 |
|
oveq2 |
|
13 |
11 12
|
sseq12d |
|
14 |
13
|
imbi2d |
|
15 |
14
|
imbi2d |
|
16 |
|
oveq2 |
|
17 |
|
oveq2 |
|
18 |
16 17
|
sseq12d |
|
19 |
18
|
imbi2d |
|
20 |
19
|
imbi2d |
|
21 |
|
nnon |
|
22 |
|
nnon |
|
23 |
|
oa0 |
|
24 |
23
|
adantr |
|
25 |
|
oa0 |
|
26 |
25
|
adantl |
|
27 |
24 26
|
sseq12d |
|
28 |
27
|
biimprd |
|
29 |
21 22 28
|
syl2an |
|
30 |
|
nnacl |
|
31 |
30
|
ancoms |
|
32 |
31
|
adantrr |
|
33 |
|
nnon |
|
34 |
|
eloni |
|
35 |
32 33 34
|
3syl |
|
36 |
|
nnacl |
|
37 |
36
|
ancoms |
|
38 |
37
|
adantrl |
|
39 |
|
nnon |
|
40 |
|
eloni |
|
41 |
38 39 40
|
3syl |
|
42 |
|
ordsucsssuc |
|
43 |
35 41 42
|
syl2anc |
|
44 |
43
|
biimpa |
|
45 |
|
nnasuc |
|
46 |
45
|
ancoms |
|
47 |
46
|
adantrr |
|
48 |
|
nnasuc |
|
49 |
48
|
ancoms |
|
50 |
49
|
adantrl |
|
51 |
47 50
|
sseq12d |
|
52 |
51
|
adantr |
|
53 |
44 52
|
mpbird |
|
54 |
53
|
ex |
|
55 |
54
|
imim2d |
|
56 |
55
|
ex |
|
57 |
56
|
a2d |
|
58 |
5 10 15 20 29 57
|
finds |
|
59 |
58
|
com12 |
|
60 |
59
|
3impia |
|