Metamath Proof Explorer


Theorem 0cnd

Description: Zero is a complex number, deduction form. (Contributed by David A. Wheeler, 8-Dec-2018)

Ref Expression
Assertion 0cnd ⊢ φ → 0 ∈ ℂ

Proof

Step Hyp Ref Expression
1 0cn ⊢ 0 ∈ ℂ
2 1 a1i ⊢ φ → 0 ∈ ℂ