Theorem lvecgrp

Description: A vector space is a group. (Contributed by SN, 28-May-2023)

	Ref	Expression
Assertion	lvecgrp	⊢ ( 𝑊 ∈ LVec → 𝑊 ∈ Grp )

Proof

Step	Hyp	Ref	Expression
1		lveclmod	⊢ ( 𝑊 ∈ LVec → 𝑊 ∈ LMod )
2		lmodgrp	⊢ ( 𝑊 ∈ LMod → 𝑊 ∈ Grp )
3	1 2	syl	⊢ ( 𝑊 ∈ LVec → 𝑊 ∈ Grp )