Step |
Hyp |
Ref |
Expression |
1 |
|
ballotth.m |
|
2 |
|
ballotth.n |
|
3 |
|
ballotth.o |
|
4 |
|
ballotth.p |
|
5 |
|
ballotth.f |
|
6 |
|
ballotth.e |
|
7 |
|
ballotth.mgtn |
|
8 |
|
ballotth.i |
|
9 |
|
eldifi |
|
10 |
9
|
ad2antrr |
|
11 |
1 2 3 4 5 6 7 8
|
ballotlemiex |
|
12 |
11
|
simpld |
|
13 |
|
elfznn |
|
14 |
12 13
|
syl |
|
15 |
14
|
adantr |
|
16 |
1 2 3 4 5 6 7 8
|
ballotlemii |
|
17 |
|
eluz2b3 |
|
18 |
15 16 17
|
sylanbrc |
|
19 |
|
uz2m1nn |
|
20 |
18 19
|
syl |
|
21 |
20
|
adantr |
|
22 |
|
elnnuz |
|
23 |
22
|
biimpi |
|
24 |
|
eluzfz1 |
|
25 |
20 23 24
|
3syl |
|
26 |
25
|
adantr |
|
27 |
|
0le1 |
|
28 |
|
1e0p1 |
|
29 |
27 28
|
breqtri |
|
30 |
|
1nn |
|
31 |
30
|
a1i |
|
32 |
1 2 3 4 5 9 31
|
ballotlemfp1 |
|
33 |
32
|
simprd |
|
34 |
33
|
imp |
|
35 |
|
1m1e0 |
|
36 |
35
|
fveq2i |
|
37 |
36
|
oveq1i |
|
38 |
37
|
a1i |
|
39 |
1 2 3 4 5
|
ballotlemfval0 |
|
40 |
9 39
|
syl |
|
41 |
40
|
adantr |
|
42 |
41
|
oveq1d |
|
43 |
34 38 42
|
3eqtrrd |
|
44 |
29 43
|
breqtrid |
|
45 |
44
|
adantr |
|
46 |
|
fveq2 |
|
47 |
46
|
breq2d |
|
48 |
47
|
rspcev |
|
49 |
26 45 48
|
syl2anc |
|
50 |
|
df-neg |
|
51 |
1 2 3 4 5 9 14
|
ballotlemfp1 |
|
52 |
51
|
simprd |
|
53 |
52
|
imp |
|
54 |
11
|
simprd |
|
55 |
54
|
adantr |
|
56 |
53 55
|
eqtr3d |
|
57 |
|
0cnd |
|
58 |
|
1cnd |
|
59 |
9
|
adantr |
|
60 |
14
|
nnzd |
|
61 |
60
|
adantr |
|
62 |
|
1zzd |
|
63 |
61 62
|
zsubcld |
|
64 |
1 2 3 4 5 59 63
|
ballotlemfelz |
|
65 |
64
|
zcnd |
|
66 |
57 58 65
|
subadd2d |
|
67 |
56 66
|
mpbird |
|
68 |
50 67
|
syl5eq |
|
69 |
|
neg1lt0 |
|
70 |
68 69
|
eqbrtrrdi |
|
71 |
70
|
adantlr |
|
72 |
1 2 3 4 5 10 21 49 71
|
ballotlemfcc |
|
73 |
1 2 3 4 5 6 7 8
|
ballotlemimin |
|
74 |
73
|
ad2antrr |
|
75 |
72 74
|
pm2.65da |
|