Step |
Hyp |
Ref |
Expression |
1 |
|
lmodfopne.t |
|
2 |
|
lmodfopne.a |
|
3 |
|
lmodfopne.v |
|
4 |
|
lmodfopne.s |
|
5 |
|
lmodfopne.k |
|
6 |
3 4 5 1
|
lmodscaf |
|
7 |
6
|
ffnd |
|
8 |
3 2
|
plusffn |
|
9 |
|
fneq1 |
|
10 |
|
fndmu |
|
11 |
10
|
ex |
|
12 |
9 11
|
syl6bi |
|
13 |
12
|
com13 |
|
14 |
13
|
impcom |
|
15 |
3
|
lmodbn0 |
|
16 |
|
xp11 |
|
17 |
15 15 16
|
syl2anc |
|
18 |
17
|
simprbda |
|
19 |
18
|
expcom |
|
20 |
14 19
|
syl6 |
|
21 |
20
|
com23 |
|
22 |
21
|
ex |
|
23 |
22
|
com23 |
|
24 |
8 23
|
ax-mp |
|
25 |
7 24
|
mpd |
|
26 |
25
|
imp |
|