Step |
Hyp |
Ref |
Expression |
1 |
|
meadjiun.1 |
|
2 |
|
meadjiun.m |
|
3 |
|
meadjiun.s |
|
4 |
|
meadjiun.b |
|
5 |
|
meadjiun.a |
|
6 |
|
meadjiun.dj |
|
7 |
4
|
ex |
|
8 |
1 7
|
ralrimi |
|
9 |
|
dfiun3g |
|
10 |
8 9
|
syl |
|
11 |
10
|
fveq2d |
|
12 |
|
eqid |
|
13 |
12
|
rnmptss |
|
14 |
8 13
|
syl |
|
15 |
|
1stcrestlem |
|
16 |
5 15
|
syl |
|
17 |
12
|
disjrnmpt2 |
|
18 |
6 17
|
syl |
|
19 |
2 3 14 16 18
|
meadjuni |
|
20 |
|
reldom |
|
21 |
|
brrelex1 |
|
22 |
20 21
|
mpan |
|
23 |
5 22
|
syl |
|
24 |
1 4 12
|
fmptdf |
|
25 |
|
fveq2 |
|
26 |
25
|
neeq1d |
|
27 |
26
|
cbvrabv |
|
28 |
|
simpr |
|
29 |
|
nfv |
|
30 |
1 29
|
nfan |
|
31 |
|
nfcv |
|
32 |
31
|
nfcsb1 |
|
33 |
|
nfcv |
|
34 |
32 33
|
nfel |
|
35 |
30 34
|
nfim |
|
36 |
|
eleq1w |
|
37 |
36
|
anbi2d |
|
38 |
|
csbeq1a |
|
39 |
38
|
eleq1d |
|
40 |
37 39
|
imbi12d |
|
41 |
35 40 4
|
chvarfv |
|
42 |
31 32 38 12
|
fvmptf |
|
43 |
28 41 42
|
syl2anc |
|
44 |
43
|
disjeq2dv |
|
45 |
|
nfcv |
|
46 |
45 32 38
|
cbvdisj |
|
47 |
46
|
bicomi |
|
48 |
47
|
a1i |
|
49 |
44 48
|
bitrd |
|
50 |
6 49
|
mpbird |
|
51 |
2 3 23 24 27 50
|
meadjiunlem |
|
52 |
45 32 38
|
cbvmpt |
|
53 |
52
|
coeq2i |
|
54 |
53
|
a1i |
|
55 |
|
eqidd |
|
56 |
2 3
|
meaf |
|
57 |
56
|
feqmptd |
|
58 |
|
fveq2 |
|
59 |
41 55 57 58
|
fmptco |
|
60 |
|
nfcv |
|
61 |
|
nfcv |
|
62 |
61 32
|
nffv |
|
63 |
38
|
fveq2d |
|
64 |
60 62 63
|
cbvmpt |
|
65 |
64
|
eqcomi |
|
66 |
65
|
a1i |
|
67 |
54 59 66
|
3eqtrd |
|
68 |
67
|
fveq2d |
|
69 |
51 68
|
eqtrd |
|
70 |
11 19 69
|
3eqtrd |
|