Definition df-zring 14225

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 14224	. 2 class ℤring
2		ccnfld 14190	. . 3 class ℂfld
3		cz 9345	. . 3 class ℤ
4		cress 12706	. . 3 class ↾s
5	2, 3, 4	co 5925	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1364	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14226  zringbas  14230  zringplusg  14231  zringmulg  14232  zringmulr  14233  zring0  14234  zring1  14235  zringsubgval  14239  zringmpg  14240  zndvds  14283  lgseisenlem4  15422