Metamath Proof Explorer


Theorem qcn

Description: A rational number is a complex number. (Contributed by NM, 2-Aug-2004)

Ref Expression
Assertion qcn ( 𝐴 ∈ ℚ → 𝐴 ∈ ℂ )

Proof

Step Hyp Ref Expression
1 qsscn ℚ ⊆ ℂ
2 1 sseli ( 𝐴 ∈ ℚ → 𝐴 ∈ ℂ )