Definition df-zring 14756

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 14755	. 2 class ℤring
2		ccnfld 14721	. . 3 class ℂfld
3		cz 9579	. . 3 class ZZ
4		cress 13230	. . 3 class ↾s
5	2, 3, 4	co 6052	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1398	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14757  zringbas  14761  zringplusg  14762  zringmulg  14763  zringmulr  14764  zring0  14765  zring1  14766  zringsubgval  14770  zringmpg  14771  zndvds  14814  lgseisenlem4  15963