Theorem lveclmodd

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

	Ref	Expression
Hypothesis	lveclmodd.1	⊢ ( 𝜑 → 𝑊 ∈ LVec )
Assertion	lveclmodd	⊢ ( 𝜑 → 𝑊 ∈ LMod )

Proof

Step	Hyp	Ref	Expression
1		lveclmodd.1	⊢ ( 𝜑 → 𝑊 ∈ LVec )
2		lveclmod	⊢ ( 𝑊 ∈ LVec → 𝑊 ∈ LMod )
3	1 2	syl	⊢ ( 𝜑 → 𝑊 ∈ LMod )