Metamath Proof Explorer


Theorem 0zd

Description: Zero is an integer, deduction form. (Contributed by David A. Wheeler, 8-Dec-2018)

Ref Expression
Assertion 0zd ( 𝜑 → 0 ∈ ℤ )

Proof

Step Hyp Ref Expression
1 0z 0 ∈ ℤ
2 1 a1i ( 𝜑 → 0 ∈ ℤ )