Definition df-zring 14624

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 14623	. 2 class ℤring
2		ccnfld 14589	. . 3 class ℂfld
3		cz 9479	. . 3 class ZZ
4		cress 13101	. . 3 class ↾s
5	2, 3, 4	co 6018	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1397	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14625  zringbas  14629  zringplusg  14630  zringmulg  14631  zringmulr  14632  zring0  14633  zring1  14634  zringsubgval  14638  zringmpg  14639  zndvds  14682  lgseisenlem4  15821