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	$$⊢A\in \mathrm{LVec}\to A\in \mathrm{LMod}$$

Proof

Step	Hyp	Ref	Expression
1		bj-vecssmod	$$⊢\mathrm{LVec}\subseteq \mathrm{LMod}$$
2	1	sseli	$$⊢A\in \mathrm{LVec}\to A\in \mathrm{LMod}$$