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Metamath Proof Explorer

Theorem 2dvdseven

Description: 2 divides an even number. (Contributed by AV, 18-Jun-2020)

		Ref	Expression
	Assertion	2dvdseven	$⊢ Z \in Even \to 2 ∥ Z$

Step	Hyp	Ref	Expression
1		iseven2	$⊢ Z \in Even \leftrightarrow (Z \in ℤ \land 2 ∥ Z)$
2	1	simprbi	$⊢ Z \in Even \to 2 ∥ Z$