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Metamath Proof Explorer

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 1 lmodgrpd ⊢ ( 𝑊 ∈ LVec → 𝑊 ∈ Grp )