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

Proof

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