Definition df-zring 13707

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 13706	. 2 class ℤring
2		ccnfld 13681	. . 3 class ℂfld
3		cz 9266	. . 3 class ℤ
4		cress 12476	. . 3 class ↾s
5	2, 3, 4	co 5888	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1363	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  13708  zringbas  13712  zringplusg  13713  zringmulg  13714  zringmulr  13715  zring0  13716  zring1  13717  zringsubgval  13721  zringmpg  13722