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Definition df-even 42321
Description: Define the set of even numbers. (Contributed by AV, 14-Jun-2020.)
Assertion
Ref Expression
df-even Even = {𝑧 ∈ ℤ ∣ (𝑧 / 2) ∈ ℤ}

Detailed syntax breakdown of Definition df-even
StepHypRef Expression
1 ceven 42319 . 2 class Even
2 vz . . . . . 6 setvar 𝑧
32cv 1652 . . . . 5 class 𝑧
4 c2 11368 . . . . 5 class 2
5 cdiv 10976 . . . . 5 class /
63, 4, 5co 6878 . . . 4 class (𝑧 / 2)
7 cz 11666 . . . 4 class
86, 7wcel 2157 . . 3 wff (𝑧 / 2) ∈ ℤ
98, 2, 7crab 3093 . 2 class {𝑧 ∈ ℤ ∣ (𝑧 / 2) ∈ ℤ}
101, 9wceq 1653 1 wff Even = {𝑧 ∈ ℤ ∣ (𝑧 / 2) ∈ ℤ}
Colors of variables: wff setvar class
This definition is referenced by:  iseven  42323  dfeven4  42333  dfeven3  42352
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