Step |
Hyp |
Ref |
Expression |
1 |
|
sge0gtfsumgt.k |
|
2 |
|
sge0gtfsumgt.a |
|
3 |
|
sge0gtfsumgt.b |
|
4 |
|
sge0gtfsumgt.c |
|
5 |
|
sge0gtfsumgt.l |
|
6 |
|
nfcv |
|
7 |
|
nfmpt1 |
|
8 |
6 7
|
nffv |
|
9 |
|
nfcv |
|
10 |
8 9
|
nfel |
|
11 |
1 10
|
nfan |
|
12 |
2
|
adantr |
|
13 |
|
icossicc |
|
14 |
13 3
|
sseldi |
|
15 |
14
|
adantlr |
|
16 |
5
|
adantr |
|
17 |
4
|
adantr |
|
18 |
|
simpr |
|
19 |
|
difrp |
|
20 |
17 18 19
|
syl2anc |
|
21 |
16 20
|
mpbid |
|
22 |
11 12 15 21 18
|
sge0ltfirpmpt2 |
|
23 |
|
simpr |
|
24 |
|
nfv |
|
25 |
1 24
|
nfan |
|
26 |
|
elinel2 |
|
27 |
26
|
adantl |
|
28 |
|
simpll |
|
29 |
|
elpwinss |
|
30 |
29
|
adantr |
|
31 |
|
simpr |
|
32 |
30 31
|
sseldd |
|
33 |
32
|
adantll |
|
34 |
|
rge0ssre |
|
35 |
34 3
|
sseldi |
|
36 |
28 33 35
|
syl2anc |
|
37 |
25 27 36
|
fsumreclf |
|
38 |
37
|
recnd |
|
39 |
38
|
ad4ant13 |
|
40 |
18
|
ad2antrr |
|
41 |
40
|
recnd |
|
42 |
17
|
ad2antrr |
|
43 |
42
|
recnd |
|
44 |
41 43
|
subcld |
|
45 |
39 44
|
addcomd |
|
46 |
23 45
|
breqtrd |
|
47 |
40 42
|
resubcld |
|
48 |
37
|
ad4ant13 |
|
49 |
40 47 48
|
ltsubadd2d |
|
50 |
46 49
|
mpbird |
|
51 |
41 43
|
nncand |
|
52 |
51
|
breq1d |
|
53 |
50 52
|
mpbid |
|
54 |
53
|
ex |
|
55 |
54
|
reximdva |
|
56 |
22 55
|
mpd |
|
57 |
|
simpl |
|
58 |
|
simpr |
|
59 |
|
eqid |
|
60 |
1 3 59
|
fmptdf |
|
61 |
13
|
a1i |
|
62 |
60 61
|
fssd |
|
63 |
2 62
|
sge0repnf |
|
64 |
63
|
adantr |
|
65 |
58 64
|
mtbid |
|
66 |
|
notnotb |
|
67 |
65 66
|
sylibr |
|
68 |
8
|
nfeq1 |
|
69 |
1 68
|
nfan |
|
70 |
2
|
adantr |
|
71 |
3
|
adantlr |
|
72 |
|
simpr |
|
73 |
4
|
adantr |
|
74 |
69 70 71 72 73
|
sge0pnffsumgt |
|
75 |
57 67 74
|
syl2anc |
|
76 |
56 75
|
pm2.61dan |
|