Definition df-zring 14604

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 14603	. 2 class ℤring
2		ccnfld 14569	. . 3 class ℂfld
3		cz 9478	. . 3 class ZZ
4		cress 13082	. . 3 class ↾s
5	2, 3, 4	co 6017	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1397	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14605  zringbas  14609  zringplusg  14610  zringmulg  14611  zringmulr  14612  zring0  14613  zring1  14614  zringsubgval  14618  zringmpg  14619  zndvds  14662  lgseisenlem4  15801