Definition df-zring 14909

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 14908	. 2 class ℤring
2		ccnfld 14876	. . 3 class ℂfld
3		cz 9627	. . 3 class ℤ
4		cress 13336	. . 3 class ↾s
5	2, 3, 4	co 6079	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1402	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14910  zringbas  14914  zringplusg  14915  zringmulg  14916  zringmulr  14917  zring0  14918  zring1  14919  zringsubgval  14923  zringmpg  14924  zndvds  14967  lgseisenlem4  16175