Definition df-zring 13857

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 13856	. 2 class ℤring
2		ccnfld 13831	. . 3 class ℂfld
3		cz 9272	. . 3 class ℤ
4		cress 12487	. . 3 class ↾s
5	2, 3, 4	co 5891	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1364	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  13858  zringbas  13862  zringplusg  13863  zringmulg  13864  zringmulr  13865  zring0  13866  zring1  13867  zringsubgval  13871  zringmpg  13872