Definition df-zring 14563

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 14562	. 2 class ℤring
2		ccnfld 14528	. . 3 class ℂfld
3		cz 9454	. . 3 class ℤ
4		cress 13041	. . 3 class ↾s
5	2, 3, 4	co 6007	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1395	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14564  zringbas  14568  zringplusg  14569  zringmulg  14570  zringmulr  14571  zring0  14572  zring1  14573  zringsubgval  14577  zringmpg  14578  zndvds  14621  lgseisenlem4  15760