Definition df-zring 14978

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 14977	. 2 class ℤring
2		ccnfld 14945	. . 3 class ℂfld
3		cz 9649	. . 3 class ℤ
4		cress 13405	. . 3 class ↾s
5	2, 3, 4	co 6085	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1402	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is used by:  zringcrng  14979  zringbas  14983  zringplusg  14984  zringmulg  14985  zringmulr  14986  zring0  14987  zring1  14988  zringsubgval  14992  zringmpg  14993  zndvds  15036  lgseisenlem4  16326