Definition df-zring 14598

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 14597	. 2 class ℤring
2		ccnfld 14563	. . 3 class ℂfld
3		cz 9472	. . 3 class ℤ
4		cress 13076	. . 3 class ↾s
5	2, 3, 4	co 6013	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1395	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14599  zringbas  14603  zringplusg  14604  zringmulg  14605  zringmulr  14606  zring0  14607  zring1  14608  zringsubgval  14612  zringmpg  14613  zndvds  14656  lgseisenlem4  15795