Definition df-zring 15010

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 15009	. 2 class ℤring
2		ccnfld 14977	. . 3 class ℂfld
3		cz 9649	. . 3 class ZZ
4		cress 13405	. . 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  15011  zringbas  15015  zringplusg  15016  zringmulg  15017  zringmulr  15018  zring0  15019  zring1  15020  zringsubgval  15024  zringmpg  15025  zndvds  15068  lgseisenlem4  16358