Definition df-zring 14549

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 14548	. 2 class ℤring
2		ccnfld 14514	. . 3 class ℂfld
3		cz 9442	. . 3 class ZZ
4		cress 13028	. . 3 class ↾s
5	2, 3, 4	co 6000	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1395	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14550  zringbas  14554  zringplusg  14555  zringmulg  14556  zringmulr  14557  zring0  14558  zring1  14559  zringsubgval  14563  zringmpg  14564  zndvds  14607  lgseisenlem4  15746