Step |
Hyp |
Ref |
Expression |
1 |
|
fvopab3ig.1 |
|
2 |
|
fvopab3ig.2 |
|
3 |
|
fvopab3ig.3 |
|
4 |
|
fvopab3ig.4 |
|
5 |
|
eleq1 |
|
6 |
5 1
|
anbi12d |
|
7 |
2
|
anbi2d |
|
8 |
6 7
|
opelopabg |
|
9 |
8
|
biimpar |
|
10 |
9
|
exp43 |
|
11 |
10
|
pm2.43a |
|
12 |
11
|
imp |
|
13 |
4
|
fveq1i |
|
14 |
|
funopab |
|
15 |
|
moanimv |
|
16 |
3 15
|
mpbir |
|
17 |
14 16
|
mpgbir |
|
18 |
|
funopfv |
|
19 |
17 18
|
ax-mp |
|
20 |
13 19
|
eqtrid |
|
21 |
12 20
|
syl6 |
|