Theorem bj-vecssmodel

Description: Vector spaces are modules (elemental version). This is a shorter proof of lveclmod . (Contributed by BJ, 9-Jun-2019) (Proof modification is discouraged.)

	Ref	Expression
Assertion	bj-vecssmodel	⊢ ( 𝐴 ∈ LVec → 𝐴 ∈ LMod )

Proof

Step	Hyp	Ref	Expression
1		bj-vecssmod	⊢ LVec ⊆ LMod
2	1	sseli	⊢ ( 𝐴 ∈ LVec → 𝐴 ∈ LMod )