Metamath Proof Explorer


Theorem cnre

Description: Alias for ax-cnre , for naming consistency. (Contributed by NM, 3-Jan-2013)

Ref Expression
Assertion cnre ⊢ A ∈ ℂ → ∃ x ∈ ℝ ∃ y ∈ ℝ A = x + i ⁢ y

Proof

Step Hyp Ref Expression
1 ax-cnre ⊢ A ∈ ℂ → ∃ x ∈ ℝ ∃ y ∈ ℝ A = x + i ⁢ y