Definition df-zring 14540

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 14539	. 2 class ℤring
2		ccnfld 14505	. . 3 class ℂfld
3		cz 9434	. . 3 class ℤ
4		cress 13019	. . 3 class ↾s
5	2, 3, 4	co 5994	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1395	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14541  zringbas  14545  zringplusg  14546  zringmulg  14547  zringmulr  14548  zring0  14549  zring1  14550  zringsubgval  14554  zringmpg  14555  zndvds  14598  lgseisenlem4  15737