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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 )