Metamath Proof Explorer


Theorem 2cnne0

Description: 2 is a nonzero complex number. (Contributed by David A. Wheeler, 7-Dec-2018)

Ref Expression
Assertion 2cnne0 ⊢ 2 ∈ ℂ ∧ 2 ≠ 0

Proof

Step Hyp Ref Expression
1 2cn ⊢ 2 ∈ ℂ
2 2ne0 ⊢ 2 ≠ 0
3 1 2 pm3.2i ⊢ 2 ∈ ℂ ∧ 2 ≠ 0