Definition df-zring 14898

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 14897	. 2 class ℤring
2		ccnfld 14865	. . 3 class ℂfld
3		cz 9623	. . 3 class ZZ
4		cress 13331	. . 3 class ↾s
5	2, 3, 4	co 6075	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1402	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14899  zringbas  14903  zringplusg  14904  zringmulg  14905  zringmulr  14906  zring0  14907  zring1  14908  zringsubgval  14912  zringmpg  14913  zndvds  14956  lgseisenlem4  16106