Step |
Hyp |
Ref |
Expression |
1 |
|
funcnvmpt.0 |
|
2 |
|
funcnvmpt.1 |
|
3 |
|
funcnvmpt.2 |
|
4 |
|
funcnvmpt.3 |
|
5 |
|
funcnvmpt.4 |
|
6 |
|
relcnv |
|
7 |
|
nfcv |
|
8 |
3
|
nfcnv |
|
9 |
7 8
|
dffun6f |
|
10 |
6 9
|
mpbiran |
|
11 |
|
vex |
|
12 |
|
vex |
|
13 |
11 12
|
brcnv |
|
14 |
13
|
mobii |
|
15 |
14
|
albii |
|
16 |
10 15
|
bitri |
|
17 |
4
|
funmpt2 |
|
18 |
|
funbrfv2b |
|
19 |
17 18
|
ax-mp |
|
20 |
4
|
dmmpt |
|
21 |
5
|
elexd |
|
22 |
21
|
ex |
|
23 |
1 22
|
ralrimi |
|
24 |
2
|
rabid2f |
|
25 |
23 24
|
sylibr |
|
26 |
20 25
|
eqtr4id |
|
27 |
26
|
eleq2d |
|
28 |
27
|
anbi1d |
|
29 |
19 28
|
syl5bb |
|
30 |
29
|
bian1d |
|
31 |
|
simpr |
|
32 |
4
|
fveq1i |
|
33 |
2
|
fvmpt2f |
|
34 |
32 33
|
syl5eq |
|
35 |
31 5 34
|
syl2anc |
|
36 |
35
|
eqeq2d |
|
37 |
|
eqcom |
|
38 |
27
|
biimpar |
|
39 |
|
funbrfvb |
|
40 |
17 38 39
|
sylancr |
|
41 |
37 40
|
bitr3id |
|
42 |
36 41
|
bitr3d |
|
43 |
42
|
pm5.32da |
|
44 |
30 43 29
|
3bitr4rd |
|
45 |
1 44
|
mobid |
|
46 |
|
df-rmo |
|
47 |
45 46
|
bitr4di |
|
48 |
47
|
albidv |
|
49 |
16 48
|
syl5bb |
|