Definition df-zring 14670

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 14669	. 2 class ℤring
2		ccnfld 14635	. . 3 class ℂfld
3		cz 9523	. . 3 class ZZ
4		cress 13146	. . 3 class ↾s
5	2, 3, 4	co 6028	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1398	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14671  zringbas  14675  zringplusg  14676  zringmulg  14677  zringmulr  14678  zring0  14679  zring1  14680  zringsubgval  14684  zringmpg  14685  zndvds  14728  lgseisenlem4  15875