Step |
Hyp |
Ref |
Expression |
1 |
|
simp1 |
|
2 |
|
measbase |
|
3 |
2
|
3ad2ant1 |
|
4 |
|
simp2l |
|
5 |
|
simp2r |
|
6 |
|
unelsiga |
|
7 |
3 4 5 6
|
syl3anc |
|
8 |
|
ssun2 |
|
9 |
8
|
a1i |
|
10 |
|
measxun2 |
|
11 |
1 7 5 9 10
|
syl121anc |
|
12 |
|
difun2 |
|
13 |
|
inundif |
|
14 |
|
uneq1 |
|
15 |
|
uncom |
|
16 |
|
un0 |
|
17 |
15 16
|
eqtri |
|
18 |
14 17
|
eqtrdi |
|
19 |
13 18
|
syl5reqr |
|
20 |
12 19
|
syl5eq |
|
21 |
20
|
fveq2d |
|
22 |
21
|
oveq2d |
|
23 |
22
|
3ad2ant3 |
|
24 |
|
iccssxr |
|
25 |
|
measvxrge0 |
|
26 |
24 25
|
sseldi |
|
27 |
1 5 26
|
syl2anc |
|
28 |
|
measvxrge0 |
|
29 |
24 28
|
sseldi |
|
30 |
1 4 29
|
syl2anc |
|
31 |
|
xaddcom |
|
32 |
27 30 31
|
syl2anc |
|
33 |
11 23 32
|
3eqtrd |
|