Theorem 0dvds0

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

	Ref	Expression
Assertion	0dvds0	⊢ 0 ∥ 0

Proof

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