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Metamath Proof Explorer

Theorem z0even

Description: 2 divides 0. That means 0 is even. (Contributed by AV, 11-Feb-2020) (Revised by AV, 23-Jun-2021)

		Ref	Expression
	Assertion	z0even	⊢ 2 ∥ 0

Step	Hyp	Ref	Expression
1		2z	⊢ 2 ∈ ℤ
2		dvds0	⊢ ( 2 ∈ ℤ → 2 ∥ 0 )
3	1 2	ax-mp	⊢ 2 ∥ 0