Step |
Hyp |
Ref |
Expression |
1 |
|
simpl |
|
2 |
|
simpr |
|
3 |
|
eqidd |
|
4 |
|
fveq1 |
|
5 |
4
|
eqeq1d |
|
6 |
5
|
anbi2d |
|
7 |
6
|
rexbidv |
|
8 |
7
|
abbidv |
|
9 |
|
eqeq1 |
|
10 |
9
|
anbi1d |
|
11 |
10
|
rexbidv |
|
12 |
|
reseq1 |
|
13 |
12
|
eqeq2d |
|
14 |
|
fveqeq2 |
|
15 |
13 14
|
anbi12d |
|
16 |
15
|
cbvrexvw |
|
17 |
11 16
|
bitrdi |
|
18 |
17
|
cbvabv |
|
19 |
8 18
|
eqtrdi |
|
20 |
19
|
rspceeqv |
|
21 |
2 3 20
|
syl2anc |
|
22 |
|
eldioph3b |
|
23 |
1 21 22
|
sylanbrc |
|