Step |
Hyp |
Ref |
Expression |
1 |
|
isumadd.1 |
|
2 |
|
isumadd.2 |
|
3 |
|
isumadd.3 |
|
4 |
|
isumadd.4 |
|
5 |
|
isumadd.5 |
|
6 |
|
isumadd.6 |
|
7 |
|
isumadd.7 |
|
8 |
|
isumadd.8 |
|
9 |
|
fveq2 |
|
10 |
|
fveq2 |
|
11 |
9 10
|
oveq12d |
|
12 |
|
eqid |
|
13 |
|
ovex |
|
14 |
11 12 13
|
fvmpt |
|
15 |
14
|
adantl |
|
16 |
3 5
|
oveq12d |
|
17 |
15 16
|
eqtrd |
|
18 |
4 6
|
addcld |
|
19 |
1 2 3 4 7
|
isumclim2 |
|
20 |
|
seqex |
|
21 |
20
|
a1i |
|
22 |
1 2 5 6 8
|
isumclim2 |
|
23 |
3 4
|
eqeltrd |
|
24 |
1 2 23
|
serf |
|
25 |
24
|
ffvelrnda |
|
26 |
5 6
|
eqeltrd |
|
27 |
1 2 26
|
serf |
|
28 |
27
|
ffvelrnda |
|
29 |
|
simpr |
|
30 |
29 1
|
eleqtrdi |
|
31 |
|
simpll |
|
32 |
|
elfzuz |
|
33 |
32 1
|
eleqtrrdi |
|
34 |
33
|
adantl |
|
35 |
31 34 23
|
syl2anc |
|
36 |
31 34 26
|
syl2anc |
|
37 |
34 14
|
syl |
|
38 |
30 35 36 37
|
seradd |
|
39 |
1 2 19 21 22 25 28 38
|
climadd |
|
40 |
1 2 17 18 39
|
isumclim |
|