Step |
Hyp |
Ref |
Expression |
1 |
|
esumaddf.0 |
|
2 |
|
esumaddf.a |
|
3 |
|
esumaddf.1 |
|
4 |
|
esumaddf.2 |
|
5 |
|
esumaddf.3 |
|
6 |
|
esumlef.3 |
|
7 |
|
iccssxr |
|
8 |
4
|
ex |
|
9 |
1 8
|
ralrimi |
|
10 |
2
|
esumcl |
|
11 |
3 9 10
|
syl2anc |
|
12 |
7 11
|
sseldi |
|
13 |
7 5
|
sseldi |
|
14 |
7 4
|
sseldi |
|
15 |
14
|
xnegcld |
|
16 |
13 15
|
xaddcld |
|
17 |
|
xsubge0 |
|
18 |
13 14 17
|
syl2anc |
|
19 |
6 18
|
mpbird |
|
20 |
|
pnfge |
|
21 |
16 20
|
syl |
|
22 |
|
0xr |
|
23 |
|
pnfxr |
|
24 |
|
elicc1 |
|
25 |
22 23 24
|
mp2an |
|
26 |
16 19 21 25
|
syl3anbrc |
|
27 |
26
|
ex |
|
28 |
1 27
|
ralrimi |
|
29 |
2
|
esumcl |
|
30 |
3 28 29
|
syl2anc |
|
31 |
7 30
|
sseldi |
|
32 |
22
|
a1i |
|
33 |
23
|
a1i |
|
34 |
|
elicc4 |
|
35 |
32 33 31 34
|
syl3anc |
|
36 |
30 35
|
mpbid |
|
37 |
36
|
simpld |
|
38 |
|
xraddge02 |
|
39 |
38
|
imp |
|
40 |
12 31 37 39
|
syl21anc |
|
41 |
|
xaddcom |
|
42 |
12 31 41
|
syl2anc |
|
43 |
40 42
|
breqtrd |
|
44 |
1 2 3 26 4
|
esumaddf |
|
45 |
|
xrge0npcan |
|
46 |
5 4 6 45
|
syl3anc |
|
47 |
46
|
ex |
|
48 |
1 47
|
ralrimi |
|
49 |
1 48
|
esumeq2d |
|
50 |
44 49
|
eqtr3d |
|
51 |
43 50
|
breqtrd |
|