Definition df-zring 14975

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 14974	. 2 class ℤring
2		ccnfld 14942	. . 3 class ℂfld
3		cz 9648	. . 3 class ZZ
4		cress 13402	. . 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  14976  zringbas  14980  zringplusg  14981  zringmulg  14982  zringmulr  14983  zring0  14984  zring1  14985  zringsubgval  14989  zringmpg  14990  zndvds  15033  lgseisenlem4  16290