Definition df-zring 13621

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 13620	. 2 class ℤring
2		ccnfld 13595	. . 3 class ℂfld
3		cz 9256	. . 3 class ZZ
4		cress 12466	. . 3 class ↾s
5	2, 3, 4	co 5878	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1353	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  13622  zringbas  13626  zringplusg  13627  zringmulg  13628  zringmulr  13629  zring0  13630  zring1  13631  zringsubgval  13635  zringmpg  13636