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Metamath Proof Explorer

Theorem 0dvds0

Description: 0 divides 0. (Contributed by SN, 15-Sep-2024)

		Ref	Expression
	Assertion	0dvds0	⊢ 0 ∥ 0

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