Step |
Hyp |
Ref |
Expression |
1 |
|
meaiunlelem.1 |
|
2 |
|
meaiunlelem.m |
|
3 |
|
meaiunlelem.s |
|
4 |
|
meaiunlelem.z |
|
5 |
|
meaiunlelem.e |
|
6 |
|
meaiunlelem.f |
|
7 |
1 4 5 6
|
iundjiun |
|
8 |
7
|
simplrd |
|
9 |
8
|
eqcomd |
|
10 |
9
|
fveq2d |
|
11 |
2 3
|
dmmeasal |
|
12 |
11
|
adantr |
|
13 |
5
|
ffvelrnda |
|
14 |
|
fzofi |
|
15 |
|
isfinite |
|
16 |
15
|
biimpi |
|
17 |
|
sdomdom |
|
18 |
16 17
|
syl |
|
19 |
14 18
|
ax-mp |
|
20 |
19
|
a1i |
|
21 |
5
|
adantr |
|
22 |
|
elfzouz |
|
23 |
4
|
eqcomi |
|
24 |
22 23
|
eleqtrdi |
|
25 |
24
|
adantl |
|
26 |
21 25
|
ffvelrnd |
|
27 |
11 20 26
|
saliuncl |
|
28 |
27
|
adantr |
|
29 |
|
saldifcl2 |
|
30 |
12 13 28 29
|
syl3anc |
|
31 |
1 30 6
|
fmptdf |
|
32 |
31
|
ffvelrnda |
|
33 |
|
eqid |
|
34 |
33
|
uzct |
|
35 |
4 34
|
eqbrtri |
|
36 |
35
|
a1i |
|
37 |
7
|
simprd |
|
38 |
1 2 3 32 36 37
|
meadjiun |
|
39 |
|
eqidd |
|
40 |
10 38 39
|
3eqtrd |
|
41 |
4
|
fvexi |
|
42 |
41
|
a1i |
|
43 |
2
|
adantr |
|
44 |
43 3 32
|
meacl |
|
45 |
43 3 13
|
meacl |
|
46 |
|
simpr |
|
47 |
|
difexg |
|
48 |
13 47
|
syl |
|
49 |
6
|
fvmpt2 |
|
50 |
46 48 49
|
syl2anc |
|
51 |
|
difssd |
|
52 |
50 51
|
eqsstrd |
|
53 |
43 3 32 13 52
|
meassle |
|
54 |
1 42 44 45 53
|
sge0lempt |
|
55 |
40 54
|
eqbrtrd |
|