Definition df-zring 14079

Description: The (unital) ring of integers. (Contributed by Alexander van der Vekens, 9-Jun-2019.)

Assertion

Ref	Expression
df-zring	⊢ ℤring = (ℂfld ↾s ℤ)

Detailed syntax breakdown of Definition df-zring

Step	Hyp	Ref	Expression
1		czring 14078	. 2 class ℤring
2		ccnfld 14047	. . 3 class ℂfld
3		cz 9317	. . 3 class ℤ
4		cress 12619	. . 3 class ↾s
5	2, 3, 4	co 5918	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1364	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14080  zringbas  14084  zringplusg  14085  zringmulg  14086  zringmulr  14087  zring0  14088  zring1  14089  zringsubgval  14093  zringmpg  14094  zndvds  14137  lgseisenlem4  15189