Step |
Hyp |
Ref |
Expression |
1 |
|
ax-hilex |
|
2 |
|
fex2 |
|
3 |
1 1 2
|
mp3an23 |
|
4 |
|
feq1 |
|
5 |
|
fveq1 |
|
6 |
5
|
oveq2d |
|
7 |
6
|
eqeq1d |
|
8 |
7
|
2ralbidv |
|
9 |
4 8
|
3anbi13d |
|
10 |
|
3anass |
|
11 |
9 10
|
syl6bb |
|
12 |
11
|
exbidv |
|
13 |
|
19.42v |
|
14 |
12 13
|
syl6bb |
|
15 |
|
dfadj2 |
|
16 |
15
|
dmeqi |
|
17 |
|
dmopab |
|
18 |
16 17
|
eqtri |
|
19 |
14 18
|
elab2g |
|
20 |
19
|
baibd |
|
21 |
3 20
|
mpancom |
|
22 |
|
df-reu |
|
23 |
1 1
|
elmap |
|
24 |
23
|
anbi1i |
|
25 |
24
|
eubii |
|
26 |
|
adjmo |
|
27 |
|
df-eu |
|
28 |
26 27
|
mpbiran2 |
|
29 |
22 25 28
|
3bitri |
|
30 |
21 29
|
bitr4di |
|