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Metamath Proof Explorer
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 ∘ ringLMod ) |
Detailed syntax breakdown
| Step |
Hyp |
Ref |
Expression |
| 0 |
|
crsp |
⊢ RSpan |
| 1 |
|
clspn |
⊢ LSpan |
| 2 |
|
crglmod |
⊢ ringLMod |
| 3 |
1 2
|
ccom |
⊢ ( LSpan ∘ ringLMod ) |
| 4 |
0 3
|
wceq |
⊢ RSpan = ( LSpan ∘ ringLMod ) |