Definition df-zring 14851

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 14850	. 2 class ℤring
2		ccnfld 14816	. . 3 class ℂfld
3		cz 9594	. . 3 class ℤ
4		cress 13297	. . 3 class ↾s
5	2, 3, 4	co 6058	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1398	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14852  zringbas  14856  zringplusg  14857  zringmulg  14858  zringmulr  14859  zring0  14860  zring1  14861  zringsubgval  14865  zringmpg  14866  zndvds  14909  lgseisenlem4  16058