Metamath Proof Explorer


Theorem recn

Description: A real number is a complex number. (Contributed by NM, 10-Aug-1999)

Ref Expression
Assertion recn ⊢ A ∈ ℝ → A ∈ ℂ

Proof

Step Hyp Ref Expression
1 ax-resscn ⊢ ℝ ⊆ ℂ
2 1 sseli ⊢ A ∈ ℝ → A ∈ ℂ