Step |
Hyp |
Ref |
Expression |
1 |
|
simp2 |
|
2 |
|
measfrge0 |
|
3 |
2
|
3ad2ant1 |
|
4 |
|
simp3 |
|
5 |
3 4
|
fssresd |
|
6 |
|
0elsiga |
|
7 |
|
fvres |
|
8 |
1 6 7
|
3syl |
|
9 |
|
measvnul |
|
10 |
9
|
3ad2ant1 |
|
11 |
8 10
|
eqtrd |
|
12 |
|
simp11 |
|
13 |
|
simp13 |
|
14 |
|
simp2 |
|
15 |
|
sspw |
|
16 |
15
|
sselda |
|
17 |
13 14 16
|
syl2anc |
|
18 |
|
simp3 |
|
19 |
|
measvun |
|
20 |
12 17 18 19
|
syl3anc |
|
21 |
1
|
3ad2ant1 |
|
22 |
|
simp3l |
|
23 |
|
sigaclcu |
|
24 |
21 14 22 23
|
syl3anc |
|
25 |
24
|
fvresd |
|
26 |
|
elpwi |
|
27 |
26
|
sselda |
|
28 |
27
|
adantll |
|
29 |
28
|
fvresd |
|
30 |
29
|
esumeq2dv |
|
31 |
30
|
3adant3 |
|
32 |
20 25 31
|
3eqtr4d |
|
33 |
32
|
3expia |
|
34 |
33
|
ralrimiva |
|
35 |
5 11 34
|
3jca |
|
36 |
|
ismeas |
|
37 |
36
|
biimprd |
|
38 |
1 35 37
|
sylc |
|