Metamath Proof Explorer


Definition df-rsp

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 )