Definition df-zring 14570

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 14569	. 2 class ℤring
2		ccnfld 14535	. . 3 class ℂfld
3		cz 9457	. . 3 class ZZ
4		cress 13048	. . 3 class ↾s
5	2, 3, 4	co 6007	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1395	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14571  zringbas  14575  zringplusg  14576  zringmulg  14577  zringmulr  14578  zring0  14579  zring1  14580  zringsubgval  14584  zringmpg  14585  zndvds  14628  lgseisenlem4  15767