Definition df-zring 14667

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 14666	. 2 class ℤring
2		ccnfld 14632	. . 3 class ℂfld
3		cz 9522	. . 3 class ℤ
4		cress 13144	. . 3 class ↾s
5	2, 3, 4	co 6028	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1398	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  14668  zringbas  14672  zringplusg  14673  zringmulg  14674  zringmulr  14675  zring0  14676  zring1  14677  zringsubgval  14681  zringmpg  14682  zndvds  14725  lgseisenlem4  15872