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