Metamath Proof Explorer


Theorem bj-rvecssabl

Description: (The additive groups of) real vector spaces are commutative groups. (Contributed by BJ, 9-Jun-2019)

Ref Expression
Assertion bj-rvecssabl ⊢ ℝVec ⊆ Abel

Proof

Step Hyp Ref Expression
1 bj-rvecssmod ⊢ ℝVec ⊆ LMod
2 bj-modssabl ⊢ LMod ⊆ Abel
3 1 2 sstri ⊢ ℝVec ⊆ Abel