Step |
Hyp |
Ref |
Expression |
1 |
|
cnaddabloOLD |
|
2 |
|
ablogrpo |
|
3 |
1 2
|
ax-mp |
|
4 |
|
ax-addf |
|
5 |
4
|
fdmi |
|
6 |
3 5
|
grporn |
|
7 |
|
eqid |
|
8 |
6 7
|
grpoidval |
|
9 |
3 8
|
ax-mp |
|
10 |
|
addid2 |
|
11 |
10
|
rgen |
|
12 |
|
0cn |
|
13 |
6
|
grpoideu |
|
14 |
3 13
|
ax-mp |
|
15 |
|
oveq1 |
|
16 |
15
|
eqeq1d |
|
17 |
16
|
ralbidv |
|
18 |
17
|
riota2 |
|
19 |
12 14 18
|
mp2an |
|
20 |
11 19
|
mpbi |
|
21 |
9 20
|
eqtr2i |
|