Theorem lveclmodd

Description: A vector space is a left module. (Contributed by SN, 16-May-2024)

	Ref	Expression
Hypothesis	lveclmodd.1	$$⊢\phi \to W\in \mathrm{LVec}$$
Assertion	lveclmodd	$$⊢\phi \to W\in \mathrm{LMod}$$

Proof

Step	Hyp	Ref	Expression
1		lveclmodd.1	$$⊢\phi \to W\in \mathrm{LVec}$$
2		lveclmod	$$⊢W\in \mathrm{LVec}\to W\in \mathrm{LMod}$$
3	1 2	syl	$$⊢\phi \to W\in \mathrm{LMod}$$