Step |
Hyp |
Ref |
Expression |
1 |
|
nfv |
|
2 |
|
nfmpo2 |
|
3 |
|
nfcv |
|
4 |
2 3
|
nffv |
|
5 |
|
nfcv |
|
6 |
4 5
|
nfne |
|
7 |
1 6
|
nfim |
|
8 |
|
nfv |
|
9 |
|
nfv |
|
10 |
|
nfmpo1 |
|
11 |
|
nfcv |
|
12 |
10 11
|
nffv |
|
13 |
|
nfcv |
|
14 |
12 13
|
nfne |
|
15 |
9 14
|
nfim |
|
16 |
8 15
|
nfim |
|
17 |
|
1onn |
|
18 |
17
|
elexi |
|
19 |
|
df-ov |
|
20 |
|
0ex |
|
21 |
|
opex |
|
22 |
|
opex |
|
23 |
21 22
|
ifex |
|
24 |
20 23
|
ifex |
|
25 |
24
|
csbex |
|
26 |
25
|
csbex |
|
27 |
|
eqid |
|
28 |
27
|
ovmpos |
|
29 |
17 26 28
|
mp3an13 |
|
30 |
29
|
adantr |
|
31 |
|
csbeq1a |
|
32 |
|
csbeq1a |
|
33 |
31 32
|
sylan9eqr |
|
34 |
33
|
adantl |
|
35 |
|
eleq1 |
|
36 |
35
|
notbid |
|
37 |
36
|
biimprcd |
|
38 |
|
pm3.14 |
|
39 |
38
|
olcs |
|
40 |
37 39
|
syl6 |
|
41 |
|
iffalse |
|
42 |
40 41
|
syl6 |
|
43 |
42
|
imp |
|
44 |
|
ifeqor |
|
45 |
|
vuniex |
|
46 |
|
fvex |
|
47 |
45 46
|
opnzi |
|
48 |
47
|
neii |
|
49 |
|
eqeq1 |
|
50 |
48 49
|
mtbiri |
|
51 |
|
vex |
|
52 |
|
vex |
|
53 |
51 52
|
opnzi |
|
54 |
53
|
neii |
|
55 |
|
eqeq1 |
|
56 |
54 55
|
mtbiri |
|
57 |
50 56
|
jaoi |
|
58 |
44 57
|
mp1i |
|
59 |
58
|
neqned |
|
60 |
43 59
|
eqnetrd |
|
61 |
60
|
adantrl |
|
62 |
34 61
|
eqnetrrd |
|
63 |
62
|
adantl |
|
64 |
30 63
|
eqnetrd |
|
65 |
19 64
|
eqnetrrid |
|
66 |
65
|
ancom2s |
|
67 |
66
|
an12s |
|
68 |
67
|
exp31 |
|
69 |
16 18 68
|
vtoclef |
|
70 |
7 69
|
vtoclefex |
|
71 |
70
|
anabsi5 |
|
72 |
71
|
necomd |
|
73 |
72
|
neneqd |
|