Definition df-zring 14403

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 14402	. 2 class ℤring
2		ccnfld 14368	. . 3 class ℂfld
3		cz 9385	. . 3 class ℤ
4		cress 12883	. . 3 class ↾s
5	2, 3, 4	co 5954	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1373	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14404  zringbas  14408  zringplusg  14409  zringmulg  14410  zringmulr  14411  zring0  14412  zring1  14413  zringsubgval  14417  zringmpg  14418  zndvds  14461  lgseisenlem4  15600