Description: Define the linear span function in a ring (Ideal generator). (Contributed by Stefan O'Rear, 4-Apr-2015)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-rsp | |- RSpan = ( LSpan o. ringLMod ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | crsp | |- RSpan |
|
| 1 | clspn | |- LSpan |
|
| 2 | crglmod | |- ringLMod |
|
| 3 | 1 2 | ccom | |- ( LSpan o. ringLMod ) |
| 4 | 0 3 | wceq | |- RSpan = ( LSpan o. ringLMod ) |