Step |
Hyp |
Ref |
Expression |
1 |
|
erngset.h |
|
2 |
|
erngset.t |
|
3 |
|
erngset.e |
|
4 |
|
erngset.d |
|
5 |
1
|
erngfset |
|
6 |
5
|
fveq1d |
|
7 |
4 6
|
syl5eq |
|
8 |
|
fveq2 |
|
9 |
8
|
opeq2d |
|
10 |
|
tpeq1 |
|
11 |
3
|
opeq2i |
|
12 |
|
tpeq1 |
|
13 |
11 12
|
ax-mp |
|
14 |
10 13
|
eqtr4di |
|
15 |
9 14
|
syl |
|
16 |
8 3
|
eqtr4di |
|
17 |
|
fveq2 |
|
18 |
17 2
|
eqtr4di |
|
19 |
|
eqidd |
|
20 |
18 19
|
mpteq12dv |
|
21 |
16 16 20
|
mpoeq123dv |
|
22 |
21
|
opeq2d |
|
23 |
22
|
tpeq2d |
|
24 |
|
eqidd |
|
25 |
16 16 24
|
mpoeq123dv |
|
26 |
25
|
opeq2d |
|
27 |
26
|
tpeq3d |
|
28 |
15 23 27
|
3eqtrd |
|
29 |
|
eqid |
|
30 |
|
tpex |
|
31 |
28 29 30
|
fvmpt |
|
32 |
7 31
|
sylan9eq |
|