Description: Left cancellation law for the addition operation of a ring. (Contributed by Steve Rodriguez, 9-Sep-2007) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | ringgcl.1 | |
|
ringgcl.2 | |
||
Assertion | rngolcan | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ringgcl.1 | |
|
2 | ringgcl.2 | |
|
3 | 1 | rngogrpo | |
4 | 2 | grpolcan | |
5 | 3 4 | sylan | |