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Definition df-even 39875
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 39873 . 2 class Even
2 vz . . . . . 6 setvar 𝑧
32cv 1473 . . . . 5 class 𝑧
4 c2 10917 . . . . 5 class 2
5 cdiv 10533 . . . . 5 class /
63, 4, 5co 6527 . . . 4 class (𝑧 / 2)
7 cz 11210 . . . 4 class
86, 7wcel 1976 . . 3 wff (𝑧 / 2) ∈ ℤ
98, 2, 7crab 2899 . 2 class {𝑧 ∈ ℤ ∣ (𝑧 / 2) ∈ ℤ}
101, 9wceq 1474 1 wff Even = {𝑧 ∈ ℤ ∣ (𝑧 / 2) ∈ ℤ}
Colors of variables: wff setvar class
This definition is referenced by:  iseven  39877  dfeven4  39887  dfeven3  39906
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