Step |
Hyp |
Ref |
Expression |
1 |
|
sumpair.1 |
|
2 |
|
sumpair.3 |
|
3 |
|
sumupair.1 |
|
4 |
|
sumupair.2 |
|
5 |
|
sumupair.3 |
|
6 |
|
sumupair.4 |
|
7 |
|
sumupair.5 |
|
8 |
|
sumupair.8 |
|
9 |
|
sumupair.9 |
|
10 |
|
disjsn2 |
|
11 |
7 10
|
syl |
|
12 |
|
df-pr |
|
13 |
12
|
a1i |
|
14 |
|
prfi |
|
15 |
14
|
a1i |
|
16 |
|
elpri |
|
17 |
5
|
adantr |
|
18 |
8 17
|
eqeltrd |
|
19 |
6
|
adantr |
|
20 |
9 19
|
eqeltrd |
|
21 |
18 20
|
jaodan |
|
22 |
16 21
|
sylan2 |
|
23 |
11 13 15 22
|
fsumsplit |
|
24 |
|
nfv |
|
25 |
1 24 8 3 5
|
sumsnd |
|
26 |
2 24 9 4 6
|
sumsnd |
|
27 |
25 26
|
oveq12d |
|
28 |
23 27
|
eqtrd |
|