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 |
|
0re |
|
10 |
|
1re |
|
11 |
9 10
|
resubcli |
|
12 |
|
0lt1 |
|
13 |
|
ltsub23 |
|
14 |
9 10 9 13
|
mp3an |
|
15 |
|
0m0e0 |
|
16 |
15
|
breq1i |
|
17 |
14 16
|
bitr2i |
|
18 |
12 17
|
mpbi |
|
19 |
11 18
|
gtneii |
|
20 |
19
|
nesymi |
|
21 |
|
eldifi |
|
22 |
|
1nn |
|
23 |
22
|
a1i |
|
24 |
1 2 3 4 5 21 23
|
ballotlemfp1 |
|
25 |
24
|
simpld |
|
26 |
25
|
imp |
|
27 |
|
1m1e0 |
|
28 |
27
|
fveq2i |
|
29 |
28
|
oveq1i |
|
30 |
29
|
a1i |
|
31 |
1 2 3 4 5
|
ballotlemfval0 |
|
32 |
21 31
|
syl |
|
33 |
32
|
adantr |
|
34 |
33
|
oveq1d |
|
35 |
26 30 34
|
3eqtrrd |
|
36 |
35
|
eqeq1d |
|
37 |
20 36
|
mtbii |
|
38 |
1 2 3 4 5 6 7 8
|
ballotlemiex |
|
39 |
38
|
simprd |
|
40 |
39
|
ad2antrr |
|
41 |
|
fveqeq2 |
|
42 |
41
|
adantl |
|
43 |
40 42
|
mpbid |
|
44 |
37 43
|
mtand |
|
45 |
44
|
neqned |
|