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 |
|
ballotth.s |
|
10 |
|
ballotth.r |
|
11 |
|
simpl |
|
12 |
1 2 3 4 5 6 7 8 9
|
ballotlemsf1o |
|
13 |
12
|
simpld |
|
14 |
|
f1ofun |
|
15 |
11 13 14
|
3syl |
|
16 |
|
simpr |
|
17 |
|
f1odm |
|
18 |
11 13 17
|
3syl |
|
19 |
16 18
|
eleqtrrd |
|
20 |
|
fvimacnv |
|
21 |
15 19 20
|
syl2anc |
|
22 |
1 2 3 4 5 6 7 8 9
|
ballotlemsv |
|
23 |
22
|
eleq1d |
|
24 |
12
|
simprd |
|
25 |
24
|
imaeq1d |
|
26 |
1 2 3 4 5 6 7 8 9 10
|
ballotlemrval |
|
27 |
25 26
|
eqtr4d |
|
28 |
27
|
eleq2d |
|
29 |
11 28
|
syl |
|
30 |
21 23 29
|
3bitr3rd |
|