Definition df-zring 14595

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 14594	. 2 class ℤring
2		ccnfld 14560	. . 3 class ℂfld
3		cz 9469	. . 3 class ZZ
4		cress 13073	. . 3 class ↾s
5	2, 3, 4	co 6013	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1395	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14596  zringbas  14600  zringplusg  14601  zringmulg  14602  zringmulr  14603  zring0  14604  zring1  14605  zringsubgval  14609  zringmpg  14610  zndvds  14653  lgseisenlem4  15792