Step |
Hyp |
Ref |
Expression |
1 |
|
id |
|
2 |
|
oveq2 |
|
3 |
1 2
|
sseq12d |
|
4 |
|
id |
|
5 |
|
oveq2 |
|
6 |
4 5
|
sseq12d |
|
7 |
|
id |
|
8 |
|
oveq2 |
|
9 |
7 8
|
sseq12d |
|
10 |
|
id |
|
11 |
|
oveq2 |
|
12 |
10 11
|
sseq12d |
|
13 |
|
0ss |
|
14 |
13
|
a1i |
|
15 |
|
eloni |
|
16 |
|
eldifi |
|
17 |
|
oecl |
|
18 |
16 17
|
sylan |
|
19 |
|
eloni |
|
20 |
18 19
|
syl |
|
21 |
|
ordsucsssuc |
|
22 |
15 20 21
|
syl2an2 |
|
23 |
|
suceloni |
|
24 |
|
oecl |
|
25 |
16 23 24
|
syl2an |
|
26 |
|
eloni |
|
27 |
25 26
|
syl |
|
28 |
|
id |
|
29 |
|
vex |
|
30 |
29
|
sucid |
|
31 |
|
oeordi |
|
32 |
30 31
|
mpi |
|
33 |
23 28 32
|
syl2anr |
|
34 |
|
ordsucss |
|
35 |
27 33 34
|
sylc |
|
36 |
|
sstr2 |
|
37 |
35 36
|
syl5com |
|
38 |
22 37
|
sylbid |
|
39 |
38
|
expcom |
|
40 |
|
dif20el |
|
41 |
16 40
|
jca |
|
42 |
|
ss2iun |
|
43 |
|
limuni |
|
44 |
|
uniiun |
|
45 |
43 44
|
eqtrdi |
|
46 |
45
|
adantr |
|
47 |
|
vex |
|
48 |
|
oelim |
|
49 |
47 48
|
mpanlr1 |
|
50 |
49
|
anasss |
|
51 |
50
|
an12s |
|
52 |
46 51
|
sseq12d |
|
53 |
42 52
|
syl5ibr |
|
54 |
53
|
ex |
|
55 |
41 54
|
syl5 |
|
56 |
3 6 9 12 14 39 55
|
tfinds3 |
|
57 |
56
|
impcom |
|