Step |
Hyp |
Ref |
Expression |
1 |
|
df-meas |
|
2 |
|
vex |
|
3 |
|
ovex |
|
4 |
|
mapex |
|
5 |
2 3 4
|
mp2an |
|
6 |
|
simp1 |
|
7 |
6
|
ss2abi |
|
8 |
5 7
|
ssexi |
|
9 |
|
feq1 |
|
10 |
|
fveq1 |
|
11 |
10
|
eqeq1d |
|
12 |
|
fveq1 |
|
13 |
|
fveq1 |
|
14 |
13
|
esumeq2sdv |
|
15 |
12 14
|
eqeq12d |
|
16 |
15
|
imbi2d |
|
17 |
16
|
ralbidv |
|
18 |
9 11 17
|
3anbi123d |
|
19 |
1 8 18
|
abfmpunirn |
|
20 |
19
|
simprbi |
|
21 |
|
fdm |
|
22 |
21
|
3ad2ant1 |
|
23 |
22
|
adantl |
|
24 |
|
simpl |
|
25 |
23 24
|
eqeltrd |
|
26 |
|
simp1 |
|
27 |
|
feq2 |
|
28 |
27
|
biimpar |
|
29 |
22 26 28
|
syl2anc |
|
30 |
|
simp2 |
|
31 |
|
simp3 |
|
32 |
|
pweq |
|
33 |
32
|
raleqdv |
|
34 |
33
|
biimpar |
|
35 |
22 31 34
|
syl2anc |
|
36 |
29 30 35
|
3jca |
|
37 |
36
|
adantl |
|
38 |
25 37
|
jca |
|
39 |
38
|
rexlimiva |
|
40 |
20 39
|
syl |
|