Definition df-zring 15035

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 15034	. 2 class ℤring
2		ccnfld 15002	. . 3 class ℂfld
3		cz 9655	. . 3 class ℤ
4		cress 13411	. . 3 class ↾s
5	2, 3, 4	co 6088	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1402	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is used by:  zringcrng  15036  zringbas  15040  zringplusg  15041  zringmulg  15042  zringmulr  15043  zring0  15044  zring1  15045  zringsubgval  15049  zringmpg  15050  zndvds  15093  lgseisenlem4  16397