Definition df-zring 14928

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 14927	. 2 class ℤring
2		ccnfld 14895	. . 3 class ℂfld
3		cz 9646	. . 3 class ℤ
4		cress 13355	. . 3 class ↾s
5	2, 3, 4	co 6085	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1402	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is used by:  zringcrng  14929  zringbas  14933  zringplusg  14934  zringmulg  14935  zringmulr  14936  zring0  14937  zring1  14938  zringsubgval  14942  zringmpg  14943  zndvds  14986  lgseisenlem4  16204