Step |
Hyp |
Ref |
Expression |
1 |
|
0elon |
|
2 |
|
rdgval |
|
3 |
1 2
|
ax-mp |
|
4 |
|
res0 |
|
5 |
4
|
fveq2i |
|
6 |
3 5
|
eqtri |
|
7 |
|
eqeq1 |
|
8 |
|
dmeq |
|
9 |
|
limeq |
|
10 |
8 9
|
syl |
|
11 |
|
rneq |
|
12 |
11
|
unieqd |
|
13 |
|
id |
|
14 |
8
|
unieqd |
|
15 |
13 14
|
fveq12d |
|
16 |
15
|
fveq2d |
|
17 |
10 12 16
|
ifbieq12d |
|
18 |
7 17
|
ifbieq2d |
|
19 |
18
|
eleq1d |
|
20 |
|
eqid |
|
21 |
20
|
dmmpt |
|
22 |
19 21
|
elrab2 |
|
23 |
|
eqid |
|
24 |
23
|
iftruei |
|
25 |
24
|
eleq1i |
|
26 |
25
|
biimpi |
|
27 |
22 26
|
simplbiim |
|
28 |
|
ndmfv |
|
29 |
27 28
|
nsyl5 |
|
30 |
6 29
|
syl5eq |
|