Definition df-zring 14194

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 14193	. 2 class ℤring
2		ccnfld 14159	. . 3 class ℂfld
3		cz 9331	. . 3 class ZZ
4		cress 12692	. . 3 class ↾s
5	2, 3, 4	co 5925	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1364	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14195  zringbas  14199  zringplusg  14200  zringmulg  14201  zringmulr  14202  zring0  14203  zring1  14204  zringsubgval  14208  zringmpg  14209  zndvds  14252  lgseisenlem4  15361