Definition df-zring 14926

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 14925	. 2 class ℤring
2		ccnfld 14893	. . 3 class ℂfld
3		cz 9644	. . 3 class ZZ
4		cress 13353	. . 3 class ↾s
5	2, 3, 4	co 6085	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1402	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is used by:  zringcrng  14927  zringbas  14931  zringplusg  14932  zringmulg  14933  zringmulr  14934  zring0  14935  zring1  14936  zringsubgval  14940  zringmpg  14941  zndvds  14984  lgseisenlem4  16192