Definition df-zring 21430

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 21429	. 2 class ℤring
2		ccnfld 21336	. . 3 class ℂfld
3		cz 12601	. . 3 class ℤ
4		cress 17234	. . 3 class ↾s
5	2, 3, 4	co 7413	. 2 class (ℂfld ↾s ℤ)
6	1, 5	wceq 1534	1 wff ℤring = (ℂfld ↾s ℤ)

This definition is referenced by:  zringcrng  21431  zringbas  21436  zringplusg  21437  zringsub  21438  zringmulg  21439  zringmulr  21440  zring0  21441  zring1  21442  zringlpirlem1  21445  zringunit  21449  zringcyg  21452  zringsubgval  21453  zringmpg  21454  prmirred  21457  zndvds  21540  zringnrg  24789  zlmclm  25124  zclmncvs  25161  lgseisenlem4  27401  zringnm  33783