Definition df-zring 15034

Description: The (unital) ring of integers. (Contributed by Alexander van der Vekens, 9-Jun-2019.)

Assertion

Ref	Expression
df-zring	|- ℤring = (ℂfld ↾s ZZ )

Detailed syntax breakdown of Definition df-zring

Step	Hyp	Ref	Expression
1		czring 15033	. 2 class ℤring
2		ccnfld 15001	. . 3 class ℂfld
3		cz 9653	. . 3 class ZZ
4		cress 13410	. . 3 class ↾s
5	2, 3, 4	co 6088	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1402	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is used by:  zringcrng  15035  zringbas  15039  zringplusg  15040  zringmulg  15041  zringmulr  15042  zring0  15043  zring1  15044  zringsubgval  15048  zringmpg  15049  zndvds  15092  lgseisenlem4  16414