Description: Law for double group division. (Contributed by NM, 29-Feb-2008) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | abldiv.1 | |
|
abldiv.3 | |
||
Assertion | ablodivdiv | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | abldiv.1 | |
|
2 | abldiv.3 | |
|
3 | ablogrpo | |
|
4 | 1 2 | grpodivdiv | |
5 | 3 4 | sylan | |
6 | 3ancomb | |
|
7 | 1 2 | grpomuldivass | |
8 | 3 7 | sylan | |
9 | 1 2 | ablomuldiv | |
10 | 8 9 | eqtr3d | |
11 | 6 10 | sylan2b | |
12 | 5 11 | eqtrd | |