Step |
Hyp |
Ref |
Expression |
1 |
|
2nn0 |
|
2 |
|
bpolyval |
|
3 |
1 2
|
mpan |
|
4 |
|
2m1e1 |
|
5 |
|
0p1e1 |
|
6 |
4 5
|
eqtr4i |
|
7 |
6
|
oveq2i |
|
8 |
7
|
sumeq1i |
|
9 |
|
0nn0 |
|
10 |
|
nn0uz |
|
11 |
9 10
|
eleqtri |
|
12 |
11
|
a1i |
|
13 |
|
0z |
|
14 |
|
fzpr |
|
15 |
13 14
|
ax-mp |
|
16 |
15
|
eleq2i |
|
17 |
|
vex |
|
18 |
17
|
elpr |
|
19 |
16 18
|
bitri |
|
20 |
|
oveq2 |
|
21 |
|
bcn0 |
|
22 |
1 21
|
ax-mp |
|
23 |
20 22
|
eqtrdi |
|
24 |
|
oveq1 |
|
25 |
|
oveq2 |
|
26 |
25
|
oveq1d |
|
27 |
|
2cn |
|
28 |
27
|
subid1i |
|
29 |
28
|
oveq1i |
|
30 |
|
df-3 |
|
31 |
29 30
|
eqtr4i |
|
32 |
26 31
|
eqtrdi |
|
33 |
24 32
|
oveq12d |
|
34 |
23 33
|
oveq12d |
|
35 |
|
bpoly0 |
|
36 |
35
|
oveq1d |
|
37 |
36
|
oveq2d |
|
38 |
|
3cn |
|
39 |
|
3ne0 |
|
40 |
38 39
|
reccli |
|
41 |
40
|
mulid2i |
|
42 |
37 41
|
eqtrdi |
|
43 |
34 42
|
sylan9eqr |
|
44 |
43 40
|
eqeltrdi |
|
45 |
5
|
eqeq2i |
|
46 |
|
oveq2 |
|
47 |
|
bcn1 |
|
48 |
1 47
|
ax-mp |
|
49 |
46 48
|
eqtrdi |
|
50 |
|
oveq1 |
|
51 |
|
oveq2 |
|
52 |
51
|
oveq1d |
|
53 |
|
ax-1cn |
|
54 |
|
npcan |
|
55 |
27 53 54
|
mp2an |
|
56 |
52 55
|
eqtrdi |
|
57 |
50 56
|
oveq12d |
|
58 |
49 57
|
oveq12d |
|
59 |
45 58
|
sylbi |
|
60 |
|
bpoly1 |
|
61 |
60
|
oveq1d |
|
62 |
61
|
oveq2d |
|
63 |
|
halfcn |
|
64 |
|
subcl |
|
65 |
63 64
|
mpan2 |
|
66 |
|
2ne0 |
|
67 |
|
divcan2 |
|
68 |
27 66 67
|
mp3an23 |
|
69 |
65 68
|
syl |
|
70 |
62 69
|
eqtrd |
|
71 |
59 70
|
sylan9eqr |
|
72 |
65
|
adantr |
|
73 |
71 72
|
eqeltrd |
|
74 |
44 73
|
jaodan |
|
75 |
19 74
|
sylan2b |
|
76 |
12 75 59
|
fsump1 |
|
77 |
42 40
|
eqeltrdi |
|
78 |
34
|
fsum1 |
|
79 |
13 77 78
|
sylancr |
|
80 |
79 42
|
eqtrd |
|
81 |
80 70
|
oveq12d |
|
82 |
76 81
|
eqtrd |
|
83 |
|
addsub12 |
|
84 |
40 63 83
|
mp3an13 |
|
85 |
63 40
|
negsubdi2i |
|
86 |
|
halfthird |
|
87 |
86
|
negeqi |
|
88 |
85 87
|
eqtr3i |
|
89 |
88
|
oveq2i |
|
90 |
84 89
|
eqtrdi |
|
91 |
|
6cn |
|
92 |
|
6re |
|
93 |
|
6pos |
|
94 |
92 93
|
gt0ne0ii |
|
95 |
91 94
|
reccli |
|
96 |
|
negsub |
|
97 |
95 96
|
mpan2 |
|
98 |
82 90 97
|
3eqtrd |
|
99 |
8 98
|
eqtrid |
|
100 |
99
|
oveq2d |
|
101 |
|
sqcl |
|
102 |
|
subsub |
|
103 |
95 102
|
mp3an3 |
|
104 |
101 103
|
mpancom |
|
105 |
3 100 104
|
3eqtrd |
|