Definition df-zring 14739

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 14738	. 2 class ℤring
2		ccnfld 14704	. . 3 class ℂfld
3		cz 9577	. . 3 class ZZ
4		cress 13213	. . 3 class ↾s
5	2, 3, 4	co 6050	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1398	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14740  zringbas  14744  zringplusg  14745  zringmulg  14746  zringmulr  14747  zring0  14748  zring1  14749  zringsubgval  14753  zringmpg  14754  zndvds  14797  lgseisenlem4  15946