Definition df-zring 14353

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 14352	. 2 class ℤring
2		ccnfld 14318	. . 3 class ℂfld
3		cz 9372	. . 3 class ZZ
4		cress 12833	. . 3 class ↾s
5	2, 3, 4	co 5944	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1373	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14354  zringbas  14358  zringplusg  14359  zringmulg  14360  zringmulr  14361  zring0  14362  zring1  14363  zringsubgval  14367  zringmpg  14368  zndvds  14411  lgseisenlem4  15550