Step |
Hyp |
Ref |
Expression |
1 |
|
esumadd.0 |
|
2 |
|
esumadd.1 |
|
3 |
|
esumadd.2 |
|
4 |
|
esumle.3 |
|
5 |
|
iccssxr |
|
6 |
2
|
ralrimiva |
|
7 |
|
nfcv |
|
8 |
7
|
esumcl |
|
9 |
1 6 8
|
syl2anc |
|
10 |
5 9
|
sseldi |
|
11 |
5 3
|
sseldi |
|
12 |
5 2
|
sseldi |
|
13 |
12
|
xnegcld |
|
14 |
11 13
|
xaddcld |
|
15 |
|
xsubge0 |
|
16 |
11 12 15
|
syl2anc |
|
17 |
4 16
|
mpbird |
|
18 |
|
pnfge |
|
19 |
14 18
|
syl |
|
20 |
|
0xr |
|
21 |
|
pnfxr |
|
22 |
|
elicc1 |
|
23 |
20 21 22
|
mp2an |
|
24 |
14 17 19 23
|
syl3anbrc |
|
25 |
24
|
ralrimiva |
|
26 |
7
|
esumcl |
|
27 |
1 25 26
|
syl2anc |
|
28 |
5 27
|
sseldi |
|
29 |
20
|
a1i |
|
30 |
21
|
a1i |
|
31 |
|
elicc4 |
|
32 |
29 30 28 31
|
syl3anc |
|
33 |
27 32
|
mpbid |
|
34 |
33
|
simpld |
|
35 |
|
xraddge02 |
|
36 |
35
|
imp |
|
37 |
10 28 34 36
|
syl21anc |
|
38 |
|
xaddcom |
|
39 |
10 28 38
|
syl2anc |
|
40 |
37 39
|
breqtrd |
|
41 |
1 24 2
|
esumadd |
|
42 |
|
xrge0npcan |
|
43 |
3 2 4 42
|
syl3anc |
|
44 |
43
|
esumeq2dv |
|
45 |
41 44
|
eqtr3d |
|
46 |
40 45
|
breqtrd |
|