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Definition df-z 10890
Description: Define the set of integers, which are the positive and negative integers together with zero. Definition of integers in [Apostol] p. 22. The letter Z abbreviates the German word Zahlen meaning "numbers." (Contributed by NM, 8-Jan-2002.)
Assertion
Ref Expression
df-z

Detailed syntax breakdown of Definition df-z
StepHypRef Expression
1 cz 10889 . 2
2 vn . . . . . 6
32cv 1394 . . . . 5
4 cc0 9513 . . . . 5
53, 4wceq 1395 . . . 4
6 cn 10561 . . . . 5
73, 6wcel 1818 . . . 4
83cneg 9829 . . . . 5
98, 6wcel 1818 . . . 4
105, 7, 9w3o 972 . . 3
11 cr 9512 . . 3
1210, 2, 11crab 2811 . 2
131, 12wceq 1395 1
Colors of variables: wff setvar class
This definition is referenced by:  elz  10891
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