Definition df-zring 15017

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 15016	. 2 class ℤring
2		ccnfld 14984	. . 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  15018  zringbas  15022  zringplusg  15023  zringmulg  15024  zringmulr  15025  zring0  15026  zring1  15027  zringsubgval  15031  zringmpg  15032  zndvds  15075  lgseisenlem4  16371