Definition df-zring 14611

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 14610	. 2 class ℤring
2		ccnfld 14576	. . 3 class ℂfld
3		cz 9479	. . 3 class ℤ
4		cress 13088	. . 3 class ↾s
5	2, 3, 4	co 6018	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1397	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14612  zringbas  14616  zringplusg  14617  zringmulg  14618  zringmulr  14619  zring0  14620  zring1  14621  zringsubgval  14625  zringmpg  14626  zndvds  14669  lgseisenlem4  15808