Definition df-zring 14157

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 14156	. 2 class ℤring
2		ccnfld 14122	. . 3 class ℂfld
3		cz 9328	. . 3 class ℤ
4		cress 12689	. . 3 class ↾s
5	2, 3, 4	co 5923	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1364	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14158  zringbas  14162  zringplusg  14163  zringmulg  14164  zringmulr  14165  zring0  14166  zring1  14167  zringsubgval  14171  zringmpg  14172  zndvds  14215  lgseisenlem4  15324