Definition df-zring 14223

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 14222	. 2 class ℤring
2		ccnfld 14188	. . 3 class ℂfld
3		cz 9343	. . 3 class ℤ
4		cress 12704	. . 3 class ↾s
5	2, 3, 4	co 5925	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1364	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14224  zringbas  14228  zringplusg  14229  zringmulg  14230  zringmulr  14231  zring0  14232  zring1  14233  zringsubgval  14237  zringmpg  14238  zndvds  14281  lgseisenlem4  15398