Metamath Proof Explorer


Theorem bj-rveccvec

Description: Real vector spaces are subcomplex vector spaces (elemental version). (Contributed by BJ, 6-Jan-2024)

Ref Expression
Assertion bj-rveccvec ⊢ V ∈ ℝVec → V ∈ ℂVec

Proof

Step Hyp Ref Expression
1 bj-rvecsscvec ⊢ ℝVec ⊆ ℂVec
2 1 sseli ⊢ V ∈ ℝVec → V ∈ ℂVec