Step |
Hyp |
Ref |
Expression |
1 |
|
wofib.1 |
|
2 |
|
wofi |
|
3 |
|
cnvso |
|
4 |
|
wofi |
|
5 |
3 4
|
sylanb |
|
6 |
2 5
|
jca |
|
7 |
|
weso |
|
8 |
7
|
adantr |
|
9 |
|
peano2 |
|
10 |
|
sucidg |
|
11 |
|
vex |
|
12 |
|
vex |
|
13 |
11 12
|
brcnv |
|
14 |
|
epel |
|
15 |
13 14
|
bitri |
|
16 |
|
eleq2 |
|
17 |
15 16
|
bitrid |
|
18 |
17
|
rspcev |
|
19 |
9 10 18
|
syl2anc |
|
20 |
|
dfrex2 |
|
21 |
19 20
|
sylib |
|
22 |
21
|
nrex |
|
23 |
|
ordom |
|
24 |
|
eqid |
|
25 |
24
|
oicl |
|
26 |
|
ordtri1 |
|
27 |
23 25 26
|
mp2an |
|
28 |
24
|
oion |
|
29 |
1 28
|
mp1i |
|
30 |
|
simpr |
|
31 |
29 30
|
ssexd |
|
32 |
24
|
oiiso |
|
33 |
1 32
|
mpan |
|
34 |
|
isocnv2 |
|
35 |
33 34
|
sylib |
|
36 |
|
wefr |
|
37 |
|
isofr |
|
38 |
37
|
biimpar |
|
39 |
35 36 38
|
syl2an |
|
40 |
39
|
adantr |
|
41 |
|
1onn |
|
42 |
|
ne0i |
|
43 |
41 42
|
mp1i |
|
44 |
|
fri |
|
45 |
31 40 30 43 44
|
syl22anc |
|
46 |
45
|
ex |
|
47 |
27 46
|
syl5bir |
|
48 |
22 47
|
mt3i |
|
49 |
|
ssid |
|
50 |
|
ssnnfi |
|
51 |
48 49 50
|
sylancl |
|
52 |
|
simpl |
|
53 |
24
|
oien |
|
54 |
1 52 53
|
sylancr |
|
55 |
|
enfi |
|
56 |
54 55
|
syl |
|
57 |
51 56
|
mpbid |
|
58 |
8 57
|
jca |
|
59 |
6 58
|
impbii |
|