Definition df-zring 14438

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 14437	. 2 class ℤring
2		ccnfld 14403	. . 3 class ℂfld
3		cz 9402	. . 3 class ZZ
4		cress 12918	. . 3 class ↾s
5	2, 3, 4	co 5962	. 2 class (ℂfld ↾s ZZ )
6	1, 5	wceq 1373	1 wff ℤring = (ℂfld ↾s ZZ )

This definition is referenced by:  zringcrng  14439  zringbas  14443  zringplusg  14444  zringmulg  14445  zringmulr  14446  zring0  14447  zring1  14448  zringsubgval  14452  zringmpg  14453  zndvds  14496  lgseisenlem4  15635