Step |
Hyp |
Ref |
Expression |
1 |
|
erngset.h-r |
|
2 |
|
elex |
|
3 |
|
fveq2 |
|
4 |
3 1
|
eqtr4di |
|
5 |
|
fveq2 |
|
6 |
5
|
fveq1d |
|
7 |
6
|
opeq2d |
|
8 |
|
fveq2 |
|
9 |
8
|
fveq1d |
|
10 |
9
|
mpteq1d |
|
11 |
6 6 10
|
mpoeq123dv |
|
12 |
11
|
opeq2d |
|
13 |
|
eqidd |
|
14 |
6 6 13
|
mpoeq123dv |
|
15 |
14
|
opeq2d |
|
16 |
7 12 15
|
tpeq123d |
|
17 |
4 16
|
mpteq12dv |
|
18 |
|
df-edring-rN |
|
19 |
17 18 1
|
mptfvmpt |
|
20 |
2 19
|
syl |
|