Step |
Hyp |
Ref |
Expression |
1 |
|
df-sumge0 |
|
2 |
1
|
a1i |
|
3 |
|
rneq |
|
4 |
3
|
eleq2d |
|
5 |
4
|
adantl |
|
6 |
|
dmeq |
|
7 |
6
|
adantl |
|
8 |
|
fdm |
|
9 |
8
|
adantr |
|
10 |
7 9
|
eqtrd |
|
11 |
10
|
pweqd |
|
12 |
11
|
ineq1d |
|
13 |
12
|
mpteq1d |
|
14 |
13
|
adantll |
|
15 |
|
fveq1 |
|
16 |
15
|
sumeq2sdv |
|
17 |
16
|
mpteq2dv |
|
18 |
17
|
adantl |
|
19 |
14 18
|
eqtrd |
|
20 |
19
|
rneqd |
|
21 |
20
|
supeq1d |
|
22 |
5 21
|
ifbieq2d |
|
23 |
|
simpr |
|
24 |
|
simpl |
|
25 |
23 24
|
fexd |
|
26 |
|
pnfxr |
|
27 |
26
|
a1i |
|
28 |
|
xrltso |
|
29 |
28
|
supex |
|
30 |
29
|
a1i |
|
31 |
27 30
|
ifexd |
|
32 |
2 22 25 31
|
fvmptd |
|