Definition df-zring 14147

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 14146	. 2 class ℤring
2		ccnfld 14112	. . 3 class ℂfld
3		cz 9326	. . 3 class ℤ
4		cress 12679	. . 3 class ↾s
5	2, 3, 4	co 5922	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1364	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14148  zringbas  14152  zringplusg  14153  zringmulg  14154  zringmulr  14155  zring0  14156  zring1  14157  zringsubgval  14161  zringmpg  14162  zndvds  14205  lgseisenlem4  15314