Metamath Proof Explorer


Theorem recni

Description: A real number is a complex number. (Contributed by NM, 1-Mar-1995)

Ref Expression
Hypothesis recni.1 ⊢ A ∈ ℝ
Assertion recni ⊢ A ∈ ℂ

Proof

Step Hyp Ref Expression
1 recni.1 ⊢ A ∈ ℝ
2 ax-resscn ⊢ ℝ ⊆ ℂ
3 2 1 sselii ⊢ A ∈ ℂ