Step |
Hyp |
Ref |
Expression |
1 |
|
coeeq.1 |
|
2 |
|
coeeq.2 |
|
3 |
|
coeeq.3 |
|
4 |
|
coeeq.4 |
|
5 |
|
coeeq.5 |
|
6 |
|
coeval |
|
7 |
1 6
|
syl |
|
8 |
|
fvoveq1 |
|
9 |
8
|
imaeq2d |
|
10 |
9
|
eqeq1d |
|
11 |
|
oveq2 |
|
12 |
11
|
sumeq1d |
|
13 |
12
|
mpteq2dv |
|
14 |
13
|
eqeq2d |
|
15 |
10 14
|
anbi12d |
|
16 |
15
|
rspcev |
|
17 |
2 4 5 16
|
syl12anc |
|
18 |
|
cnex |
|
19 |
|
nn0ex |
|
20 |
18 19
|
elmap |
|
21 |
3 20
|
sylibr |
|
22 |
|
coeeu |
|
23 |
1 22
|
syl |
|
24 |
|
imaeq1 |
|
25 |
24
|
eqeq1d |
|
26 |
|
fveq1 |
|
27 |
26
|
oveq1d |
|
28 |
27
|
sumeq2sdv |
|
29 |
28
|
mpteq2dv |
|
30 |
29
|
eqeq2d |
|
31 |
25 30
|
anbi12d |
|
32 |
31
|
rexbidv |
|
33 |
32
|
riota2 |
|
34 |
21 23 33
|
syl2anc |
|
35 |
17 34
|
mpbid |
|
36 |
7 35
|
eqtrd |
|