Step |
Hyp |
Ref |
Expression |
1 |
|
eqgval.x |
|
2 |
|
eqgval.n |
|
3 |
|
eqgval.p |
|
4 |
|
eqgval.r |
|
5 |
|
elex |
|
6 |
1
|
fvexi |
|
7 |
6
|
ssex |
|
8 |
|
simpl |
|
9 |
8
|
fveq2d |
|
10 |
9 1
|
eqtr4di |
|
11 |
10
|
sseq2d |
|
12 |
8
|
fveq2d |
|
13 |
12 3
|
eqtr4di |
|
14 |
8
|
fveq2d |
|
15 |
14 2
|
eqtr4di |
|
16 |
15
|
fveq1d |
|
17 |
|
eqidd |
|
18 |
13 16 17
|
oveq123d |
|
19 |
|
simpr |
|
20 |
18 19
|
eleq12d |
|
21 |
11 20
|
anbi12d |
|
22 |
21
|
opabbidv |
|
23 |
|
df-eqg |
|
24 |
6 6
|
xpex |
|
25 |
|
simpl |
|
26 |
|
vex |
|
27 |
|
vex |
|
28 |
26 27
|
prss |
|
29 |
25 28
|
sylibr |
|
30 |
29
|
ssopab2i |
|
31 |
|
df-xp |
|
32 |
30 31
|
sseqtrri |
|
33 |
24 32
|
ssexi |
|
34 |
22 23 33
|
ovmpoa |
|
35 |
4 34
|
syl5eq |
|
36 |
5 7 35
|
syl2an |
|