Step |
Hyp |
Ref |
Expression |
1 |
|
mptmpoopabbrd.g |
|
2 |
|
mptmpoopabbrd.x |
|
3 |
|
mptmpoopabbrd.y |
|
4 |
|
mptmpoopabbrd.1 |
|
5 |
|
mptmpoopabbrd.2 |
|
6 |
|
mptmpoopabbrd.m |
|
7 |
|
fveq2 |
|
8 |
|
fveq2 |
|
9 |
|
fveq2 |
|
10 |
9
|
breqd |
|
11 |
5 10
|
anbi12d |
|
12 |
11
|
opabbidv |
|
13 |
7 8 12
|
mpoeq123dv |
|
14 |
1
|
elexd |
|
15 |
|
fvex |
|
16 |
|
fvex |
|
17 |
15 16
|
mpoex |
|
18 |
17
|
a1i |
|
19 |
6 13 14 18
|
fvmptd3 |
|
20 |
19
|
oveqd |
|
21 |
4
|
anbi1d |
|
22 |
21
|
opabbidv |
|
23 |
|
eqid |
|
24 |
|
ancom |
|
25 |
24
|
opabbii |
|
26 |
|
opabresex2 |
|
27 |
25 26
|
eqeltri |
|
28 |
22 23 27
|
ovmpoa |
|
29 |
2 3 28
|
syl2anc |
|
30 |
20 29
|
eqtrd |
|