Definition df-zring 14865

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 14864	. 2 class ℤring
2		ccnfld 14830	. . 3 class ℂfld
3		cz 9594	. . 3 class ZZ
4		cress 13297	. . 3 class ↾s
5	2, 3, 4	co 6058	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1398	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14866  zringbas  14870  zringplusg  14871  zringmulg  14872  zringmulr  14873  zring0  14874  zring1  14875  zringsubgval  14879  zringmpg  14880  zndvds  14923  lgseisenlem4  16072