Step |
Hyp |
Ref |
Expression |
1 |
|
dmexg |
|
2 |
1
|
adantl |
|
3 |
2
|
ralrimiva |
|
4 |
|
eqid |
|
5 |
4
|
fnmpt |
|
6 |
3 5
|
syl |
|
7 |
|
ovex |
|
8 |
7
|
inex1 |
|
9 |
8
|
a1i |
|
10 |
9
|
ralrimivva |
|
11 |
|
eqid |
|
12 |
11
|
fnmpo |
|
13 |
10 12
|
syl |
|
14 |
|
df-inv |
|
15 |
|
fveq2 |
|
16 |
|
fveq2 |
|
17 |
16
|
oveqd |
|
18 |
16
|
oveqd |
|
19 |
18
|
cnveqd |
|
20 |
17 19
|
ineq12d |
|
21 |
15 15 20
|
mpoeq123dv |
|
22 |
|
id |
|
23 |
|
fvex |
|
24 |
23 23
|
pm3.2i |
|
25 |
|
mpoexga |
|
26 |
24 25
|
mp1i |
|
27 |
14 21 22 26
|
fvmptd3 |
|
28 |
27
|
fneq1d |
|
29 |
13 28
|
mpbird |
|
30 |
|
ssv |
|
31 |
30
|
a1i |
|
32 |
|
fnco |
|
33 |
6 29 31 32
|
syl3anc |
|
34 |
|
isofval |
|
35 |
34
|
fneq1d |
|
36 |
33 35
|
mpbird |
|