Step |
Hyp |
Ref |
Expression |
1 |
|
fsumcnv.1 |
|
2 |
|
fsumcnv.2 |
|
3 |
|
fsumcnv.3 |
|
4 |
|
fsumcnv.4 |
|
5 |
|
fsumcnv.5 |
|
6 |
|
csbeq1a |
|
7 |
|
fvex |
|
8 |
|
fvex |
|
9 |
|
opex |
|
10 |
9 1
|
csbie |
|
11 |
|
opeq12 |
|
12 |
11
|
csbeq1d |
|
13 |
10 12
|
syl5eqr |
|
14 |
7 8 13
|
csbie2 |
|
15 |
6 14
|
eqtr4di |
|
16 |
|
cnvfi |
|
17 |
3 16
|
syl |
|
18 |
|
relcnv |
|
19 |
|
cnvf1o |
|
20 |
18 19
|
ax-mp |
|
21 |
|
dfrel2 |
|
22 |
4 21
|
sylib |
|
23 |
22
|
f1oeq3d |
|
24 |
20 23
|
mpbii |
|
25 |
|
1st2nd |
|
26 |
18 25
|
mpan |
|
27 |
26
|
fveq2d |
|
28 |
|
id |
|
29 |
26 28
|
eqeltrrd |
|
30 |
|
sneq |
|
31 |
30
|
cnveqd |
|
32 |
31
|
unieqd |
|
33 |
|
opswap |
|
34 |
32 33
|
eqtrdi |
|
35 |
|
eqid |
|
36 |
|
opex |
|
37 |
34 35 36
|
fvmpt |
|
38 |
29 37
|
syl |
|
39 |
27 38
|
eqtrd |
|
40 |
39
|
adantl |
|
41 |
15 17 24 40 5
|
fsumf1o |
|
42 |
|
csbeq1a |
|
43 |
26 42
|
syl |
|
44 |
|
opex |
|
45 |
44 2
|
csbie |
|
46 |
|
opeq12 |
|
47 |
46
|
ancoms |
|
48 |
47
|
csbeq1d |
|
49 |
45 48
|
syl5eqr |
|
50 |
7 8 49
|
csbie2 |
|
51 |
43 50
|
eqtr4di |
|
52 |
51
|
sumeq2i |
|
53 |
41 52
|
eqtr4di |
|