Theorem bj-vecssmod

Description: Vector spaces are modules. (Contributed by BJ, 9-Jun-2019) (Proof modification is discouraged.)

	Ref	Expression
Assertion	bj-vecssmod	⊢ LVec ⊆ LMod

Proof

Step	Hyp	Ref	Expression
1		df-lvec	⊢ LVec = { 𝑥 ∈ LMod ∣ ( Scalar ‘ 𝑥 ) ∈ DivRing }
2		ssrab2	⊢ { 𝑥 ∈ LMod ∣ ( Scalar ‘ 𝑥 ) ∈ DivRing } ⊆ LMod
3	1 2	eqsstri	⊢ LVec ⊆ LMod