Step |
Hyp |
Ref |
Expression |
1 |
|
fmpox.1 |
|
2 |
|
vex |
|
3 |
|
vex |
|
4 |
2 3
|
op1std |
|
5 |
4
|
csbeq1d |
|
6 |
2 3
|
op2ndd |
|
7 |
6
|
csbeq1d |
|
8 |
7
|
csbeq2dv |
|
9 |
5 8
|
eqtrd |
|
10 |
9
|
eleq1d |
|
11 |
10
|
raliunxp |
|
12 |
|
nfv |
|
13 |
|
nfv |
|
14 |
|
nfv |
|
15 |
|
nfcsb1v |
|
16 |
15
|
nfcri |
|
17 |
14 16
|
nfan |
|
18 |
|
nfcsb1v |
|
19 |
18
|
nfeq2 |
|
20 |
17 19
|
nfan |
|
21 |
|
nfv |
|
22 |
|
nfcv |
|
23 |
|
nfcsb1v |
|
24 |
22 23
|
nfcsbw |
|
25 |
24
|
nfeq2 |
|
26 |
21 25
|
nfan |
|
27 |
|
eleq1w |
|
28 |
27
|
adantr |
|
29 |
|
eleq1w |
|
30 |
|
csbeq1a |
|
31 |
30
|
eleq2d |
|
32 |
29 31
|
sylan9bbr |
|
33 |
28 32
|
anbi12d |
|
34 |
|
csbeq1a |
|
35 |
|
csbeq1a |
|
36 |
34 35
|
sylan9eqr |
|
37 |
36
|
eqeq2d |
|
38 |
33 37
|
anbi12d |
|
39 |
12 13 20 26 38
|
cbvoprab12 |
|
40 |
|
df-mpo |
|
41 |
|
df-mpo |
|
42 |
39 40 41
|
3eqtr4i |
|
43 |
9
|
mpomptx |
|
44 |
42 1 43
|
3eqtr4i |
|
45 |
44
|
fmpt |
|
46 |
11 45
|
bitr3i |
|
47 |
|
nfv |
|
48 |
18
|
nfel1 |
|
49 |
15 48
|
nfralw |
|
50 |
|
nfv |
|
51 |
23
|
nfel1 |
|
52 |
34
|
eleq1d |
|
53 |
50 51 52
|
cbvralw |
|
54 |
35
|
eleq1d |
|
55 |
30 54
|
raleqbidv |
|
56 |
53 55
|
bitrid |
|
57 |
47 49 56
|
cbvralw |
|
58 |
|
nfcv |
|
59 |
|
nfcv |
|
60 |
59 15
|
nfxp |
|
61 |
|
sneq |
|
62 |
61 30
|
xpeq12d |
|
63 |
58 60 62
|
cbviun |
|
64 |
63
|
feq2i |
|
65 |
46 57 64
|
3bitr4i |
|