Step |
Hyp |
Ref |
Expression |
1 |
|
docaval.j |
|
2 |
|
docaval.m |
|
3 |
|
docaval.o |
|
4 |
|
docaval.h |
|
5 |
|
elex |
|
6 |
|
fveq2 |
|
7 |
6 4
|
eqtr4di |
|
8 |
|
fveq2 |
|
9 |
8
|
fveq1d |
|
10 |
9
|
pweqd |
|
11 |
|
fveq2 |
|
12 |
11
|
fveq1d |
|
13 |
|
fveq2 |
|
14 |
13 2
|
eqtr4di |
|
15 |
|
fveq2 |
|
16 |
15 1
|
eqtr4di |
|
17 |
|
fveq2 |
|
18 |
17 3
|
eqtr4di |
|
19 |
12
|
cnveqd |
|
20 |
12
|
rneqd |
|
21 |
20
|
rabeqdv |
|
22 |
21
|
inteqd |
|
23 |
19 22
|
fveq12d |
|
24 |
18 23
|
fveq12d |
|
25 |
18
|
fveq1d |
|
26 |
16 24 25
|
oveq123d |
|
27 |
|
eqidd |
|
28 |
14 26 27
|
oveq123d |
|
29 |
12 28
|
fveq12d |
|
30 |
10 29
|
mpteq12dv |
|
31 |
7 30
|
mpteq12dv |
|
32 |
|
df-docaN |
|
33 |
31 32 4
|
mptfvmpt |
|
34 |
5 33
|
syl |
|