Definition df-zring 14090

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 14089	. 2 class ℤring
2		ccnfld 14055	. . 3 class ℂfld
3		cz 9320	. . 3 class ℤ
4		cress 12622	. . 3 class ↾s
5	2, 3, 4	co 5919	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1364	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14091  zringbas  14095  zringplusg  14096  zringmulg  14097  zringmulr  14098  zring0  14099  zring1  14100  zringsubgval  14104  zringmpg  14105  zndvds  14148  lgseisenlem4  15230