Definition df-zring 14731

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 14730	. 2 class ℤring
2		ccnfld 14696	. . 3 class ℂfld
3		cz 9576	. . 3 class ℤ
4		cress 13205	. . 3 class ↾s
5	2, 3, 4	co 6049	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1398	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14732  zringbas  14736  zringplusg  14737  zringmulg  14738  zringmulr  14739  zring0  14740  zring1  14741  zringsubgval  14745  zringmpg  14746  zndvds  14789  lgseisenlem4  15938