Definition df-zring 13350

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 13349	. 2 class ℤring
2		ccnfld 13324	. . 3 class ℂfld
3		cz 9249	. . 3 class ℤ
4		cress 12455	. . 3 class ↾s
5	2, 3, 4	co 5872	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1353	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  13351  zringbas  13355  zringplusg  13356  zringmulg  13357  zringmulr  13358  zring0  13359  zring1  13360  zringsubgval  13364  zringmpg  13365