Definition df-zring 14576

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 14575	. 2 class ℤring
2		ccnfld 14541	. . 3 class ℂfld
3		cz 9462	. . 3 class ℤ
4		cress 13054	. . 3 class ↾s
5	2, 3, 4	co 6010	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1395	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14577  zringbas  14581  zringplusg  14582  zringmulg  14583  zringmulr  14584  zring0  14585  zring1  14586  zringsubgval  14590  zringmpg  14591  zndvds  14634  lgseisenlem4  15773